Atlantis Studies in Uncertainty Modelling

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133 articles
Proceedings Article

Consistent Inverse Probability and Possibility Propagation

Dominik Hose, Michael Hanss
Given a probability distribution of an output quantity of a model, it is generally not possible to infer a unique probability distribution of the uncertain input quantity. In this contribution, it is shown that by reverting back to the coarser framework of possibility theory this problem possesses a...
Proceedings Article

Influence of population ageing on macroeconomic productivity

Martina Šimková, Jaroslav Sixta
Labour force of all European countries is ageing and this natural demographic process has its own consequences on economic output and productivity. This issue has been widely discussed in Western countries for several years, but a deep economic and social discussion is still absent in the Czech Republic....
Proceedings Article

Fuzzy logic-predicate network

Tatiana Kosovskaia
In many Artificial Intelligence problems an investigated object is considered as a set of its elements {ω1,...,ωt} and is characterized by properties of these elements and relations between them. These properties and relations may be set by predicates p1,...,...
Proceedings Article

Effects of structural changes in intermediate use on employment using the input-output analysis and the index theory

Karel Šafr, Kristýna Vltavská, Jakub Fischer
The aim of this paper is to investigate the effect of structural changes in intermediate use on employment in the Czech economy. We combine the input-output analysis with the index theory. For the analysis, we use input-output and employment data for the period between the years 2005 and 2015. We focus...
Proceedings Article

Granular Evolving Min-Max Fuzzy Modeling

Alisson Porto, Fernando Gomide
The paper addresses a novel evolving functional fuzzy modeling algorithm using hyperboxes and min-max fuzzy granulation. Data space granulation is done as data are input, and adapted using expansion, reduction operations to encompass new information. A fuzzy rule is assigned to each hyperbox using Gaussian...
Proceedings Article

How to value equity in national accounts?

Jana Kramulová, Jakub Vincenc, Helena Houžvičková
The objective of national accounts is to present a model of the real economy in the most accurate way. It means that not only officially recorded data from business accounting are included, but also model computations are used (e.g. in estimating the size of the shadow economy or correcting a phenomenon...
Proceedings Article

Extracting group decision making experts' preferences from debate transcriptions using sentiment analysis

Juan Antonio Morente-Molinera, Francisco Javier Cabrerizo, Ignacio J. Perez, Sergio Alonso, Enrique Herrera-Viedma
Traditional group decision making methods work under the assumption that experts must provide their preferences to a computational system after carrying out a thorough debate. Nevertheless, this is not natural since the mean where experts express their ideas and preferences is inside the debate. In this...
Proceedings Article

Evaluating Collaboration Ability of R&D Team Members: A Multi-Granular Hesitant Fuzzy Linguistic Approach

Zhen Zhang, Junliang Gao, Wenyu Yu
Evaluating each member's collaboration ability in an R\&D team is of vital importance for senior managers to improve the team performance for R&D activities. Due to the difference in knowledge and education background, each team member usually tends to use multi-granular hesitant fuzzy linguistic term...
Proceedings Article

Development of regional price levels in the Czech Republic

Petr Musil, Jana Kramulová
Regional price levels attract attention of researchers as well as of general public due to the fact that regional price differences influence the interpretation of regional indicators. The current international approach reflects just price differences among countries, and regional disparities are excluded...
Proceedings Article

Fuzzy applications in selected aircraft on-board system

Norbert Grzesik, Janusz Ćwiklak, Mariusz Zieja, Grzegorz Kozłowski
Authors in this publication present the new approach to aircraft systems efficiency evaluation. The research station consists of two units: efficiency evaluation unit and flight simulation unit. The efficiency is evaluated with use of fuzzy inference systems designed in Matlab/Simulink Software. Simulations...
Proceedings Article

Is one time-series in the business tendency survey able to predict another one? Granger causality between time series

Veronika Ptáčková, Lubomír Štěpánek, Vít Hanzal
A Business Tendency Survey (BTS) is one of popular instruments used for providing rough forecasts of future conditions of the national economy. Economists, journalists and analysts are not the only ones interested in the future development of the economy; ordinary citizens are also attentive to such...
Proceedings Article

Relational variants of categories of fuzzy sets defined by monads

Jiří Močkoř
By a T-relational variant of a category K we understand a Kleisli category K_T of a category K with respect to a monad T. Using explicit definitions we equivalently describe several T-relational examples of categories with fuzzy type objects, where T are apropriate monads in these categories.
Proceedings Article

Maintaining the well-being of ageing population in the Czech Republic

Kateřina Gawthorpe, Karel Šafr
This study analyses the problem of ageing which is currently one of the biggest concerns for central authorities in the Czech Republic. The rapidly changing demographic structure has affected the fiscal policy framework. The focus here is on the economic impact of the ageing phenomenon with respect to...
Proceedings Article

Aggregation of Partial T-Indistinguishability Operators

Tomasa Calvo, Pilar Fuster
We focus on the aggregation of partial T-indistinguishability operators. We provide a characterization of those functions that allow to merge a collection of partial T-indistinguishability operators into a new one in terms of (+, max)-tuples. Moreover, we see that this is equivalent to the characterization...
Proceedings Article

Order Fulfillment Performance Evaluation in Supply Chain Management Under Intuitionistic Fuzzy Environment

Serhat Aydın, Cengiz Kahraman
Supply chain management process includes many activities to transform raw materials into final products considering with customer satisfaction. Order fulfillment process is one of them and plays a critical role in ensuring customer satisfaction. This study proposes uncertain dynamic intuitionistic decision...
Proceedings Article

Multivariate methods for survey evaluation: A case study of Big Data and the New Digital Divide

Jana Cibulková, Richard Novák, Zdeněk Šulc
The paper evaluates the results of a survey regarding challenges connected to the Big Data phenomenon and the New Digital Divide. Following the authors’ previous research, these challenges consist of issues such as business advantage, privacy intrusion, or big brother effect. Perception of these challenges...
Proceedings Article

Towards a More Efficient Representation of Functions in Quantum and Reversible Computing

Oscar Galindo, Laxman Bokati, Vladik Kreinovich
Many practical problems necessitate faster and faster computations. Simple physical estimates show that eventually, to move beyond a limit caused by the speed of light restrictions on communication speed, we will need to use quantum -- or, more generally, reversible -- computing. Thus, we need to be...
Proceedings Article

Modelling student dropout using statistical and data mining methods

Petr Berka, Luboš Marek, Michal Vrabec
Not completing the study by a large portion of students is a serious problem at universities worldwide. Regardless of the country, numbers are very similar: about one-half of students who enrolled for the bachelor study leave university before obtaining the degree. To deal with this problem, we create...
Proceedings Article

Algorithm for Finding Domination Set in Intuitionistic Fuzzy Graph

Alexander Bozhenyuk, Margarita Knyazeva, Igor Rozenberg
In this paper, the concept of minimal intuitionistic dominating vertex subset of intuitionistic fuzzy graph was considered, and on its basis the notion of a domination set as an invariant of the intuitionistic fuzzy graph was introduced. A method and an algorithm for finding all minimal intuitionistic...
Proceedings Article

Hospital Location Selection Using Spherical Fuzzy TOPSIS

Cengiz Kahraman, Fatma Kutlu Gundogdu, Sezi Cevik Onar, Basar Oztaysi
The three dimensional extensions of ordinary fuzzy sets such as intuitionistic fuzzy sets of type-2 (IFS2) or Pythagorean fuzzy sets (PFS), and neutrosophic sets (NS) aim at collecting experts’ judgments more informatively and explicitly. In the literature, generalized three-dimensional spherical fuzzy...
Proceedings Article

Effect of ordinal variable transformations on hierarchical clustering results: A case study on the Big Data phenomenon

Hana Řezanková, Richard Novák
The aim of the paper is to show some possible transformations of ordinal variables in cluster analysis and discuss their effect on hierarchical clustering results. Although several papers comparing different approaches to clustering objects characterized by ordinal variables have been published, the...
Proceedings Article

An Enhancement of Fuzzy K-Nearest Neighbor Classifier Using Multi-Local Power Means

Mahinda Mailagaha Kumbure, Pasi Luukka, Mikael Collan
This study introduces a new method to the family of fuzzy k-nearest neighbor (FKNN) classifiers that is based on the use of power means in the calculation of multi-local means that are used in classification of samples. The proposed new classifier is called multi-local power means fuzzy k-nearest neighbor...
Proceedings Article

Characterizing Positive Definite Matrices with t-norms

Jordi Recasens
In this work symmetric positive definite matrices with non-negative entries will be characterized by using the Yager's family of t-norms. It can always be assumed that such an n X n matrix corresponds to a reflexive and symmetric fuzzy relation A on a set of cardinality n and then A is positive definite...
Proceedings Article

Corporate website evaluation using partial least squares path modelling

Pavol Kráľ, Peter Laco
Almost all businesses and organizations use the World Wide Web in the form of corporate websites. In today’s highly innovative and competitive environment, the level of corporate internet presentations is one of the key success factors. Approaches to corporate website evaluation are very variable. To...
Proceedings Article

Generalized deviation functions and construction of aggregation functions

Andrea Stupnanova, Peter Smrek
We generalize the concept of moderate deviation functions D : [0,1]2 → R into (k + 1)- dimensional moderate deviation function D(k) : [0,1]k X [0,1] → R and propose a D(k)-based method for constructing idempotent...
Proceedings Article

On dynamics in a four-dimensional model of a small open economy

Mária Grausová, Miroslav Hužvár, Rudolf Zimka
In the paper, a four-dimensional nonlinear macroeconomic model of a small open economy describing the development of net real national income, real physical capital stock, nominal interest rate and nominal money stock is analysed. The functions of investment, savings, real income tax, liquidity preference...
Proceedings Article

Artificial Intelligence in the Context of Psychological Security: Theoretical and Practical Implications

Alexey Averkin, Darya Bazarkina, Konstantin Pantserev, Evgeny Pashentsev
The academic community cannot ignore the growing opportunities offered by artificial intelligence. Especially relevant are developments in this ares against the background of growing challenges and threats arising from the use of the digital environment by actors of psychological warfare – by strategists...
Proceedings Article

Cross-migrative commutative aggregation functions with respect to Archimedean triangular norms

Wenwen Zong, Yong Su, Liu Hua-Wen
Functional equations involving aggregation functions play an important role in fuzzy sets and fuzzy logic theory. The cross-migrative equation is a weaker form of the classical commuting equation. This paper is devoted to exploring cross-migrative commutative aggregation functions with respect to Archimedean...
Proceedings Article

Fuzzy Semantic Web Architecture for Activity Detection in Wireless Multimedia Sensor Network Applications

Ali Nail Ozdin, Adnan Yazici, Murat Koyuncu
This study aims to increase the reliability of activity detection by using fuzzy logic extended Semantic Web technologies to Wireless Multimedia Sensor Networks (WMSNs). The proposed approach consists of three layers: the sensor layer, the data layer, and the Semantic Web layer. The sensor layer comprises...
Proceedings Article

Differences in relative prospective age determined by cohort and period life tables

Tomáš Fiala, Jitka Langhamrová
Increasing the pension age above the usual threshold of 65 years is very often recommended to ensure financial sustainability of old-age pension systems, especially of those based on the PAYG principle. At the same time, a closer and clearer relation between the pension age threshold and the level of...
Proceedings Article

Emotion recognition from speech signal using fuzzy clustering

Stefano Rovetta, Zied Mnasri, Francesco Masulli, Alberto Cabri
Expressive speech modeling is a new trend in speech processing, including emotional speech synthesis and recognition. So far, emotion recognition from speech signal has been mainly achieved using supervised classifiers. However, clustering techniques seem well fitted to resolve such a problem, especially...
Proceedings Article

Time series analysis of the poverty rate for low-educated people in the Czech Republic, Slovakia and Poland over the period 2005 – 2017

Dagmar Blatná
The at-risk-of-poverty rate indicates the proportion of people with disposable income under the poverty threshold. The aim of the present study is to examine the development of the poverty rate indicator in the Czech Republic, Slovakia and Poland over the period 2005 – 2017 in the group of people with...
Proceedings Article

A Hybrid Model of Gene Expression Profiles Reducing Based on the Complex Use of Fuzzy Inference System and Clustering Quality Criteria

Sergii Babichev, Jiří Barilla, Jiří Fišer, Jiří Škvor
The paper presents the hybrid model of gene expression profiles reducing based on complex use of fuzzy inference system and clustering quality criteria. The average of absolute values, the variance and Shannon entropy of the gene expression profiles were used as the input parameters of fuzzy inference...
Proceedings Article

Assessment of socio-economic development of selected European countries with the use of a modified HDI

Marek Biernacki, Wojciech Guzek
The aim of the paper is to analyse the socio-economic development of selected European countries represented by various social policies, and to verify the hypothesis of different speeds of development within the groups into which these countries divide. The following groups are considered in the analysis:...
Proceedings Article

Explainable Artificial Intelligence for Kids

Jose M. Alonso
Artificial Intelligence (AI) is part of our everyday life and has become one of the most outstanding and strategic technologies of the 21st century. Explainable AI (XAI in short) is expected to endow AI systems with explanation ability when interacting with humans. This paper describes how to provide...
Proceedings Article

Adding unpaid work value to income inequality measures in Slovakia

Anna Vallušová, Žaneta Lacová
Income inequality represents one of the central issues that are widely discussed by present-day economists. In Slovakia, significant income inequality linked to disparities between regions persists. The central aim of our paper is to offer an alternative insight into the issue of income inequality measurement...
Proceedings Article

Experton approach to vague information in portfolio selection problem with many views

Aleksandra Rutkowska, Marcin Bartkowiak
This paper presents many expert fuzzy extensions of the Black-Litterman portfolio selection model. Black and Litterman identified two sources of information regarding the expected returns, and they combined these two sources of information in one expected return formula. The first source of information...
Proceedings Article

Unpaid work performed by younger members of household up to 26 years in Slovakia

Mariana Považanová, Ján Kollár, Marián Kika, Gabriela Nedelová
The paper deals with unpaid work in Slovak households whilst focusing upon unpaid work performed by younger members of the household. Studies of unpaid work of people up to 26 years are still not well documented in literature. The aim of this paper is twofold: First, it seeks to answer the question whether...
Proceedings Article

Fuzzy Confidence Interval Estimation by Likelihood Ratio

Rédina Berkachy, Laurent Donzé
We propose a fuzzy confidence interval estimation based on the likelihood ratio. This ratio, often used in hypotheses testing seems to be an efficient tool for calculating confidence intervals since it is known to be general, and thus can be applied on any parameter. The strength of the defended procedure...
Proceedings Article

Explaining Computer Predictions with Augmented Appraisal Degrees

Marcelo Loor, Guy De Tré
An augmented appraisal degree (AAD) has been conceived as a mathematical representation of the connotative meaning in an experience-based evaluation, which depends on a particular experience or knowledge. Aiming to improve the interpretability of computer predictions, we explore the use of AADs to represent...
Proceedings Article

Distribution of the wealth of the richest persons in the world

Adam Čabla, Filip Habarta
The aim of this paper is to examine the probability distribution of wealth of the richest persons in the world based on estimates from the CEOWORLD magazine’s rich list for March 2019. Since one can safely assume that there are a tiny number of people out of the whole world’s population in this list,...
Proceedings Article

Physics's Need for Interval Uncertainty and How It Explains Why Physical Space Is (at Least) 3-Dimensional

Olga Kosheleva, Vladik Kreinovich
One of the fundamental problems of modern physics is the problem of divergence: e.g., when we try to compute the overall energy of the electric field generated by a charged elementary particle, we get a physically meaningless infinite value. In this paper, we show that one way to avoid these infinities...
Proceedings Article

An Adaptive Consensus Reaching Process Dealing with Comparative Linguistic Expressions in Large-scale Group Decision Making

Álvaro Labella Romero, Rosa M. Rodríguez, Luis Martínez
Nowadays, society often faces decision problems under uncertainty that hardly can manage by a single expert or a few of them because of their complexity. Under these conditions, large-scale group decision making (LS-GDM) problems are becoming more and more common. The decisions made on these types of...
Proceedings Article

Efficiency of Slovak municipalities’ expenditure on services for senior citizens

Alena Kaščáková, Zuzana Rigová, Katarína Sýkorová
Efficiency in using resources to achieve desired results at the lowest possible cost is not important only for profit-making subjects, but also for non-profit subjects. Economic efficiency of public administration is a permanent topic in Slovakia. Local self-government, represented by municipalities,...
Proceedings Article

A preliminary inquiry into the aggregation of compositional data

Raúl Pérez-Fernández, Bernard De Baets
The aggregation of compositional data vectors arises naturally in many fields of application. In particular, the weighted centroid is inherently linked to the process of mixing two or more compounds. However, as natural and simple as this process may be, the weighted centroid does not fit the standard...
Proceedings Article

Origin of the state statistical service in Czecho-Slovakia

Prokop Závodský, Ondřej Šimpach
This paper is dedicated to the 100th anniversary of establishing the State Statistical Office (an ancestor of today’s Czech and Slovak statistical offices) in 1919. The paper first describes troubles with organization of the statistical service in Austria-Hungary where the Austrian and Hungarian parts...
Proceedings Article

Mining data quality rules based on T-dependence

Toon Boeckling, Antoon Bronselaer, Guy De Tré
Since their introduction in 1976, edit rules have been a standard tool in statistical analysis. Basically, edit rules are a compact representation of non-permitted combinations of values in a dataset. In this paper, we propose a technique to automatically find edit rules by use of the concept of T-dependence....
Proceedings Article

Orthogonality spaces allowing gradual transitions

Thomas Vetterlein
We consider orthogonality spaces subjected to the condition that gradual transitions between any two elements are possible. More precisely, given elements e and f, we require a homomorphism from the unit circle to the automorphism group to exist such that one of these automorphisms maps e to f, and any...
Proceedings Article

Credit card fraud detection by dynamic incremental semi-supervised fuzzy clustering

Gabriella Casalino, Giovanna Castellano, Corrado Mencar
The problem of credit card fraud detection is approached by a semi-supervised classification task on a data stream. The DISSFCM algorithm is applied, which is based on Dynamic Incremental Semi-Supervised Fuzzy C-Means that processes data grouped in small-size chunks. Experimental results on a real-world...
Proceedings Article

On a category of deterministic fuzzy automata

S.P. Tiwari, Priyanka Pal
The purpose of the present work is to use the concepts of reachability and obsrvability maps to provide a solution of a well-known characterization of fuzzy regular languages. In between, we associate two deterministic fuzzy automata with a given deterministic fuzzy automaton and show that the reachability...
Proceedings Article

On L-fuzzy partitioned automata

S.P. Tiwari, Shailendra Singh
This paper is towards the study of theory of fuzzy automata with fuzzy partitions. Specifically, we study the concept of the L-fuzzy partitioned automaton corresponding to a given L-fuzzy automaton. Further, we introduce the concept of a crisp-deterministic L-fuzzy automaton corresponding to the L-fuzzy...
Proceedings Article

On LM-valued F-transforms and LM-valued fuzzy rough sets

Abha Tripathi, S.P. Tiwari, Anand Pratap Singh
The goal of this contribution is to propose LM-valued F-transforms, which are essentially the many-valued generalizations of the notion of lattice-valued F-transforms. Further, we associate the concepts of LM-valued fuzzy rough sets with LM-valued...
Proceedings Article

Solvability of Fuzzy Relational Equations Employing Undefined Values

Nhung Cao
The paper aims at studying the solvability of fuzzy relational equations where the input fuzzy sets may have undefined values. The appropriate operations dealing undefined values are taken from the algebras built in partial fuzzy logic, in particular, the Bochvar operations, Sobocinski operations, Kleene...
Proceedings Article

Fuzzy implicators related to (quasi-)copulas

Anna Kolesárová, Radko Mesiar
In this paper, we study relations between fuzzy implicators and some kinds of fuzzy conjunctors, in particular, quasi-copulas and copulas. We show that there is a duality be- tween the classes of all quasi-copulas and 1- Lipschitz fuzzy implicators. In addition, we introduce a construction method for...
Proceedings Article

Sentiment Analysis in Social Networks: A Methodology Based on the Latent Dirichlet Allocation Approach

Domenico Santaniello, Francesco Colace, Marco Lombardi, Francesco Pascale, Fabio Clarizia
The detection and analysis of sentiment in textual communication is a topic attracting attention in both academia and industry. In fact, thanks to the explosion of the Social Networks a wealth of information is produced every day. This huge amount of contents can be very helpful in assessing the general...
Proceedings Article

Analysis of privacy profiles applying fuzzy clustering techniques

Aigul Kaskina, Oleksii Tyshchenko
Unsolved roots of ``privacy paradox'' motivate researchers to extricate the underlying reasons of such phenomenon. In the field of privacy research, the majority of empirical studies lack the availability of the real data collected from the actual platform instead of data received from the experimental...
Proceedings Article

Fault Tolerant Control Design Based on Takagi-Sugeno Fuzzy Logic: Application to a Three-Tank System

Himanshukumar Patel, Vipul Shah
This paper deals with a novel Fault-Tolerant Control (FTC) strategy for non-linear systems without hardware redundancy in case of actuator and system component failures. These failures correspond to blocking or loss of effectiveness of an actuator, leakage of tank bottom and pipes which could lead to...
Proceedings Article

Interval Type-2 Fuzzy Systems as Deep Neural Network Activation Functions

Aykut Beke, Tufan Kumbasar
In this paper, we propose a novel activation function, namely, Interval Type-2 Fuzzy (IT2) Rectifying Unit (FRU), to improve the performance of the Deep Neural Networks (DNNs). The IT2-FRU can generate linear or sophisticated activation functions by simply tuning the size of the footprint of uncertainty...
Proceedings Article

On fuzzy approximation operators and fuzzy transformation systems

Sutapa Mahato, S.P. Tiwari
The objective of this paper is to establish the relationship between fuzzy approximation operators and fuzzy transformation systems. We show that for each upper/lower fuzzy transformation system there exits a fuzzy approximation space induced by a fuzzy reflexive relation and vice-versa.
Proceedings Article

Many-level fuzzy rough approximation spaces induced by many-level fuzzy preorders and the related ditopological structures

Alexander Sostak, Ingrida Uljane, Aleksandrs Elkins
In this paper, we present a many-level version for the Pawlak - Dubois and Prade theory of rough approximation of fuzzy sets. Basing on the many-level upper and lower fuzzy rough approximation operators, we define the measure of rough approximation that in a certain sense characterizes the quality of...
Proceedings Article

Nuclei and conuclei on Girard posets

David Kruml, Jan Paseka
It is well-known that the semantics of a given fuzzy logic can be formally axiomatized by means of a residuated poset. Based on a notion of dualizing (cyclic) element we introduce the notion of a Frobenius (Girard) poset. With this paper we hope to contribute to the theory of Frobenius posets and Girard...
Proceedings Article

Personalized Linguistic Information: A Framework of Granular Computing

Francisco Javier Cabrerizo, Juan Antonio Morente-Molinera, Sergio Alonso, Raquel Ureña, Enrique Herrera-Viedma
In group decision making, the usage of linguistic information entails the requirement for computing with words, a methodology in which words from a natural language are the computational elements. Recently, a new approach based on a framework of granular computing has been applied to cope with linguistic...
Proceedings Article

Modeling Implicit Feedback and Latent Visual Features for Machine-Learning Based Recommendation

Yue Guan, Qiang Wei, Guoqing Chen, Xunhua Guo
With the rapid accumulation of rich media data on the Internet, this paper proposes a Multi-View Bayesian Personalized Ranking (MVBPR) recommendation model that combines visual and textual contents, along with uncertainty modeling in consumer preferences and in visual representation in forms of implicit...
Proceedings Article

Missing Values and Indeterminable Values in Fuzzy Relational Compositions

Nhung Cao
Four-valued logics were developed from three-valued logics aiming at creating tools dealing with missing values and indeterminable values at the same time in computer science. In this paper, we are motivated by the formation of such four-valued logics and construct a new set of operations able to work...
Proceedings Article

Application of Non-additive Measures and Integrals for Analysis of the Importance of Party Positions for Voting

Alexander Lepskiy, Vladimir Smolev
The paper shows the possibility of applying the tool of non-additive measures and the belief functions theory to solving a number of problems of significance analysis and conflict of the political party positions. The study was performed on a database of online polls of parties in Germany before the...
Proceedings Article

Clustering a body of evidence based on conflict measures

Andrey Bronevich, Alexander Lepskiy
In real applications, sometimes it is necessary to evaluate inner or external conflict of pieces of evidence. However, these numerical values cannot give us explanations why this conflict occurs. Thus, we need deeper analysis of available information. In the paper, we propose the clusterization of a...
Proceedings Article

Quasi-i-Boolean algebras vs. quasi-m Boolean algebras

Afrodita Iorgulescu
We prove the categorically equivalence between the quasi-implicative-Boolean algebras and the quasi-m Boolean algebras, a generalization of the categorically equivalence between the implicative-Boolean algebras and the Boolean algebras.
Proceedings Article

Translating Classical Probability Logics into Modal Fuzzy Logics

Paolo Baldi, Petr Cintula, Carles Noguera
This paper is a contribution to the study of two distinct kinds of modal logics for modeling uncertainty. Both approaches use logics with a two-layered syntax, but while one employs classical logic on both levels, the other involves a suitable system of fuzzy logic in the upper layer. We take two prominent...
Proceedings Article

Vascular Network Analysis with Manual and Automatic Segmentation Using Fuzzy Mathematical Morphology

Pedro Bibiloni, Manuel González-Hidalgo, Amau Mir, Nuria Prats-Domínguez
The inhibition of new vessel creation, or anti-angiogenesis, has therapeutic interest. In this contribution, we introduce an automatic method to estimate objective indicators of new vessel creation. We use images of the chorioallantoic membrane of chicken embryos, some of which have been injected with...
Proceedings Article

Design of Interval Type 2 Fuzzy Fault-Tolerant Controller for a Non-Minimum Phase System: Application to quadruple conical tank system

Himanshukumar Patel, Vipul Shah
Quadruple Conical Tank System (QCTS) is benchmark a laboratory setup for testing of various linear and nonlinear control algorithms for the multivariate control system. The multiple process conguration for multivariate input-output can be obtained from quadruple conical tank system. This article is concerned...
Proceedings Article

Uncertainty of value and structure

Patrik Eklund, Magnus Löfstrand
In this paper we show how `uncertainty of information' traditionally focuses mostly on `uncertainty' leaving `information' mostly as unravelled. We also try to explain why that is so, and we then provide suggestions on how to overcome this situation, in particular in work on applications involving information...
Proceedings Article

A new approach to Color Edge Detection

Pablo Flores, Daniel Gomez, Javier Castro, Guillermo Villarino, Javier Montero
Most edge detection algorithms deal only with grayscale images, and the way of adapting them to use with RGB images is an open problem. In this work, we explore different ways of aggregating the color information of a RGB image for edges extraction, and this is made by means of well-known edge detection...
Proceedings Article

Automatic Generation of a Type-2 Fuzzy System for Time Series Forecast based on Genetic Programming

Marco Antonio Cunha Ferreira, Ricardo Tanscheit, Marley Vellasco
This work describes the development of a type 2 Fuzzy Inference System by using Genetic Programming for applications in time series forecasting. The resulting model, called GPFIS-Forecast+ is based on the GPFIS-Forecast created previously, which made use of Multigene Genetic Programming an provided good...
Proceedings Article

e-Operators on the Extension of Lattice-valued (U,N)-implications

Eduardo Palmeira, Benjamin Bedregal, Graçaliz Dimuro
Generalize fuzzy operators for the framework of lattices is the main objective of many recent researches. Here we present a study about how to define lattice-valued (U,N)-implications i.e. the class of implications generated from a uninorm U and a fuzzy negation N. Moreover, we discuss about its extension...
Proceedings Article

Personalized linguistic summaries in smartphone-based monitoring of bipolar disorder patients

Katarzyna Kaczmarek-Majer, Olgierd Hryniewicz, Monika Dominiak, Łukasz Święcicki
Personalized linguistic summaries are developed with the use of protoforms in the sense of Yager and Kacprzyk. We discuss the construction and usefulness of such patient-dependent and disease-state-dependent linguistic summaries that may be examplified as `Most outgoing calls in mania state (disease...
Proceedings Article

A New Method for Attributes Selection in Intuitionistic Fuzzy Models

Eulalia Szmidt, Janusz Kacprzyk, Paweł Bujnowski
We present a new method for attribute selection for models with attribute values expressed via Atanassov's intuitionistic fuzzy sets (IFSs, for short). The three term representation of the IFSs makes it possible to construct a transparent and justified function that enables to select attributes...
Proceedings Article

Solid Waste Disposal Site Selection by Using Neutrosophic Combined Compromise Solution Method

Ali Karaşan, Eda Bolturk
Combined Compromise Solution (COCOSO) method is a combination of different aggregation strategies that aim to find final scores of the alternatives with respect to determined criteria based on decision makers’ judgements. This method is extension of simple additive weighting and exponentially weighted...
Proceedings Article

Some Remarks on the Generalized Scheme of Reduction to Absurdity and Generalized Hypothetical Syllogism in Fuzzy Logic

Katarzyna Miś, Michal Baczynski, Piotr Helbin
In this paper we investigate two generalizations, in fuzzy logic, of classical scheme of reduction to absurdity. We compare them with two possible generalizations of classical hypothetical syllogism (in fuzzy logic) and we show that generalized hypothetical syllogism is more general. We present new results...
Proceedings Article

Exploiting Particle Swarm Optimization to Attune Strong Fuzzy Partitions Based on Cuts

Ciro Castiello, Corrado Mencar
Cut-based strong fuzzy partitions (SFP) are characterized by cuts, i.e. points in the universe of discourse where the non-zero membership degrees of the fuzzy sets in the partition is 0.5. Cuts are useful to identify the most representative regions for the fuzzy sets involved in a SFP but pose loose...
Proceedings Article

Typical Hesitant Fuzzy Sets: Evaluating Strategies in GDM Applying Consensus Measures

Mônica Lorea Matzenauer, Renata Reiser, Helida Santos, Benjamin Bedregal
This work studies typical hesitant fuzzy sets (THFS) which can be used in group decision making (GDM) due to the possibility of more flexible values for expressions given by a group of decision makers, instead of using only one value resulting from aggregation expressing their preferences. Besides,...
Proceedings Article

Performance Comparisons of Law Offices and Optimum Allocation of Debt Files Using Z-Fuzzy AHP

Cengiz Kahraman, Basar Oztaysi, Sezi Cevik Onar
The performance of law offices can be comparatively measured by multicriteria decision making methods. Linguistic assessments can be used in this process rather than exact numerical evaluations. The performance evaluation is generally realized in a vague and imprecise environment. Fuzzy set theory is...
Proceedings Article

Computing Sentiment Analysis through Aspect-based fuzzy Aggregations

Jesus Serrano-Guerrero, Jose Angel Olivas, Francisco P. Romero
The expression of a general opinion on a product or service may sometimes be broken down into different sub-opinions on the different aspects which characterise such a product or service. Sometimes, the general opinion about a product does not have to be the average of the other sub-opinions, but other...
Proceedings Article

Aggregation functions based on the Choquet integral applied to image resizing

Jéssica Camila Saldivia Bueno, Camila Alves Dias, Graçaliz Pereira Dimuro, Helida Santos, Eduardo Nunes Borges, Giancarlo Lucca, Humberto Bustince
The rising volume of data and its high complexity has brought the need of developing increasingly efficient knowledge extraction techniques, which demands efficiency both in computational cost and in accuracy. Most of problems that are handled by these techniques has complex information to be identified....
Proceedings Article

Towards Memory Access Optimization in Quantum Computing

Mateus Nascimento, Anderson Avila, Renata Reisen, Mauricio Pilla
Due to the lack of quantum hardware, quantum simulation (QS) is the most common method to study quantum computing. Even so, simulators and simulations should be properly built to use the maxim computational power possible. This work focuses on the main problem related to the memory accesses, representing...
Proceedings Article

Study on n-Dimensional R-implications

Rosana Zanotelli, Renata Reiser, Benjamin Bedregal
R-implications are studied on Ln(U) considering the conditions under which main properties are preserved, and their representability from U to Ln(U) are also presented. Some results in the class of n-dimensional R-implications obtained from t-representable norms on Ln(U) are discussed.
Proceedings Article

Generating a Fuzzy Rule Based Classification System by genetic learning of granularity level using TOPSIS

Antonio Eloy de Oliveira Araujo, Renato Antonio Krohling
Fuzzy Rule Based Classification Systems (FRBCSs) are widely used tools in classification problems. An important aspect in the design of a FRBCS is the number of fuzzy labels per variable (granularity level), which significantly influences the performance of the fuzzy system. Another relevant issue to...
Proceedings Article

Flexible bootstrap based on the canonical representation of fuzzy numbers

Przemyslaw Grzegorzewski, Olgierd Hryniewicz, Maciej Romaniuk
A new resampling approach for simulating bootstrapped samples of fuzzy numbers is proposed. The secondary samples consist of fuzzy numbers which preserve the canonical representation (i.e., the value and ambiguity) of fuzzy numbers belonging to the primary sample, although may differ from the initial...
Proceedings Article

On the problem of possibilistic-probabilistic optimization with constraints on possibility/probability in the case of the weakest t-norm

Yulia Egorova, Alexandr Yazenin
In this paper we investigate the problem of possibilistic-probabilistic optimization with constraints on possiblity/probability. Fuzzy parameters of the problem are considered to be related by the weakest t-norm, random parameters are normally distributed. For solving the problem an equivalent stochastic...
Proceedings Article

On Hidden Conflicts of Belief Functions

Milan Daniel, Václav Kratochvíl
Hidden conflict of belief functions in the case where the sum of all multiples of conflicting belief masses being equal to zero was observed. Degrees of hidden conflict and of non-conflictness are defined and analyzed including full non-conflictness. The hidden conflict between two belief functions...
Proceedings Article

Uncertainty-aware similarity measures – properties and construction method

Patryk Żywica, Anna Stachowiak
A concept of uncertainty-aware similarity measure for interval--valued fuzzy sets is being defined and discussed. The aim of the paper is to support the opinion that both definition and construction of such measure should take into account the epistemic nature of compared incomplete (uncertain) information....
Proceedings Article

A comparative analysis of tools for visualizing association rules: A proposal for visualising fuzzy association rules

Carlos Fernandez-Basso, M. Dolores Ruiz, Miguel Delgado, Maria J. Martin-Bautista
Discovering new trends and co-occurrences in massive data is a key step when analysing social media, data coming from sensors, etc. Although, nowadays Data Mining is very useful and widely used for the industry, business and government, the main problem of application of machine learning or data mining...
Proceedings Article

Extension of the Fuzzy Dominance-Based Rough Set Approach Using Ordered Weighted Average Operators

Marko Palangetić, Chris Cornelis, Salvatore Greco, Roman Słowiński
In the article we first review some known results on fuzzy versions of the dominance-based rough set approach (DRSA) where we expand the theory considering additional properties. Also, we apply Ordinal Weighted Average (OWA) operators in fuzzy DRSA. OWA operators have shown a lot of potential in handling...
Proceedings Article

Fuzzy Multiset Clustering for Metagame Analysis

Alexander Dockhorn, Tony Schwensfeier, Rudolf Kruse
Developing agents for automated game playing is a demanding task in the general game production cycle. Especially the involvement of frequent balance changes after the release, e.g. as they often occur in collectible card games, require constant updates of the developed agent. The game's developers need...
Proceedings Article

Numerical Solution for Lotka-Volterra Model of Oscillating Chemical Reactions with Interactive Fuzzy Initial Conditions

Vinícius Wasques, Estevão Esmi, Laécio C. Barros, Peter Sussner
In this paper we study Lotka-Volterra model of oscillating chemical reactions via fuzzy differential equations, where the initial conditions are given by interactive fuzzy numbers. The concept of interactivity is associated with the notion of joint possibility distribution. The fuzzy solution is given...
Proceedings Article

Logical clustering approach for analysing digital economy and society performance of countries

Jovana Rakićević, Aleksandar Rakićević, Ana Poledica
Digitisation, digitalisation and digital transformation represent one of the primary incentives of today’s development. To successfully implement these changes, countries need to create smart digital policies which are evidence- and data-based. The study presented in this paper uses the logical clustering...
Proceedings Article

Fuzzy modeling to 'understand' personal preferences of mHealth users: a case study

Raoul Nuijten, Uzay Kaymak, Pieter Van Gorp, Monique Simons, Pauline Van Den Berg, Pascale Le Blanc
This case study evaluates to what extent personal preferences can be automatically derived from user event data in an mHealth setting. Based on a theoretical framework, user preferences are described using six classes. Based on this framework, a structure of six Takagi-Sugeno fuzzy inference systems...
Proceedings Article

Graphical analysis of the progression of atrial arrhythmia through an ensemble of Generative Adversarial Network Discriminators

Nahuel Costa, Jesus Fernandez, Inés Couso, Luciano Sanchez
Logs of arrhythmia episodes in patients with pacemakers are used to estimate the temporal progression of atrial arrhythmia. In order to attain an early detection, a stream of dates and episode lengths are fed to an array of detectors, each of which is responsive to a narrow range of arrhythmias. The...
Proceedings Article

A Case Study on Wildfire Propagation Modelling Using Evolving Rule Based Fuzzy Cognitive Maps

Joao Paulo Carvalho, Pedro Gregorio
Fuzzy Cognitive Maps (FCM) and other Dynamic Cognitive Maps (DCM) were originally developed as mechanisms to simulate the evolution of complex qualitative dynamic systems. In this paper we present a case study where we show that Evolving DCM (specifically Evolving Rule Based Fuzzy Cognitive Maps, Ev-RBFCM)...
Proceedings Article

Managing temporal uncertainty in multi-mode Z-number fuzzy graph structures

Margarita Knyazeva, Alexander Bozhenyuk, Uzay Kaymak
In this paper we introduce an NP-hard optimization problem and examine preferences of decision-maker towards imprecise alternatives (modes) in a fuzzy temporal graph structure model. Fuzzy Z-number preference matrix is introduced and types of generalized precedence relations in fuzzy multimode resource-constrained...
Proceedings Article

Abductive reasoning in normal residuated logic programming via bipolar max-product fuzzy relation equations

David Lobo, Maria Eugenia Cornejo Piñero, Jesús Medina
Fuzzy relation equations have recently been extended to a more general framework in which the unknown variables appear together with their logical negation connectives, giving rise to the called bipolar fuzzy relation equations. This paper shows an abductive procedure for a special kind of normal residuated...