Atlantis Studies in Uncertainty Modelling

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226 articles
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

A Granular Consensus Model Based on Intuitionistic Reciprocal Preference Relations and Minimum Adjustment for Multi-Criteria Group Decision Making

Francisco Javier Cabrerizo, José Ramón Trillo, Juan Antonio Morente-Molinera, Sergio Alonso, Enrique Herrera-Viedma
When a group of individuals try to collectively make a decision, it is important that all of them accept the decision adopted. It means, to improve consensus, some adjustments could be inevitably performed to the initial assessments given by the individuals. To do it, several models have been recently...
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

Semantics for Reciprocal Preferences

Fabián Castiblanco, Camilo Franco, J. Tinguaro Rodríguez, Javier Montero
Examining fuzzy preference relations together with the reciprocity condition, and a potential conceptual conflict arising between reciprocal fuzzy preferences and fuzzy preference structures, it is claimed that reciprocal preferences cannot be properly understood according to a weak nor a strict preference...
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

Evolving Fuzzy Neural Network Based on Uni-nullneuron to Identify Auction Fraud

Paulo Vitor de Campos Souza, Edwin Lughofer, Augusto Junio Guimaraes
The increase in transactions on the Internet related to the purchase of products or services can provide facilities for the parties involved in these acquisitions, but they also generate uncertainties and possibilities of attacks that can originate from fraud. This work seeks to explore and extract knowledge...
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

Similarity-based Reasoning from the Perspective of Extensionality

Antonín Dvořák, Balasubramaniam Jayaram, Martin Štěpnička
Similarity-based reasoning systems consider the notion of similarity as crucial for their motivation and the whole design. However, similarity can be seen not only as a general notion but also as a particular family of binary fuzzy relations modeling a fuzzy equality. Moreover, these relations are tightly...
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

Interactive Decision Making for Multiobjective Bimatrix Games with Fuzzy Payoffs Based on Possibility Measure

Hitoshi Yano, Ichiro Nishizaki
In this paper, we propose an interactive decision making method for multiobjectve bimatrix games with fuzzy payoffs. Using possibility measure and reference membership values, an equilibrium solution concept is introduced. To circumvent computational difficulties to obtain such a solution, equilibrium...
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

Linear Regression Approach to Fuzzy Cognitive Maps with History Data

Vesa A. Niskanen
Methods of linear regression analysis are applied to fuzzy cognitive map construction according to history data from the standpoint of quantitative human sciences. When the linearized version of history data is also used, this construction may be reduced to ordinary linear regression analysis. This linearization...
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

Against Artificial Complexification: Crisp vs. Fuzzy Information in the TOPSIS Method

David A. Pelta, María T. Lamata, José L. Verdegay, Carlos Cruz, Ana Salas
The question of whether the use of crisp or fuzzy input information in the TOPSIS method produces a different ranking is explored. Using a basic representation of fuzziness through triangular fuzzy numbers, a set of randomly generated fuzzy and crisp multicriteria decision problems are solved. Then,...
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

Interpolativity and Continuity of Similarity-Based Reasoning Fuzzy Inference

Sayantan Mandal, Balasubramaniam Jayaram
Similarity-based reasoning is one of the well-established inference mechanisms which is widespread in the literature. An inference mechanism is required to have some properties to be an acceptable inference mechanism that can be used in an application. Interpolativity and continuity are two of the major...
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

Fuzzy Metrics for Solving MODM Problems

Olga Grigorenko
This paper presents a solution approach for multi-objective linear programming problem. We consider MOLP problem where optimization of multiple, conflicting objective functions subject to constraints is concerned. We give also comments how to deal with FMOLP problem, where the parameters are imprecisely...
Proceedings Article

Generalized Peterson’s Syllogisms with the Quantifier “At Least Several (A Few; A Little)”

Petra Murinová, Vilém Novák
In this article, we follow up on previous publications in which we studied generalized Peterson’s syllogisms. The main objective of this paper is to define a new intermediate quantifier “At least <Several, A few, A little>” and analyze new forms of valid syllogisms.
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

On Modelling of Generalized Peterson’s Syllogisms with More Premises

Karel Fiala, Veronika Červeňová, Petra Murinová
This article aims to continue the analysis of generalized Peterson’s syllogisms with more premises. Namely, we use the theory of intermediate quantifiers, which provides the mathematical interpretation of natural language expressions indicating the amount or quantity of objects, such as “Almost all”,...
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

Generalized Peterson’s Rules in Fuzzy Natural Logic

Petra Murinová, Viktor Pavliska, Michal Burda
The main objective of this paper is to continue the study of generalized Peterson’s syllogisms and to formally define Peterson’s rules of distributivity, quantity and quality. While past results were based on mathematical definitions of generalized quantifiers the idea of this article is to take advantage...
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

An Overview of Graded Structures of Opposition with Intermediate Quantifiers

Petra Murinová
The paper is focused on an overview of graded structures of opposition with generalized intermediate quantifiers. This article focuses mainly on achieving two goals. Firstly, classical structures of opposition (square, hexagon, cube) are introduced. Then, graded extensions of mentioned structures are...
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

Machine-imitative Learning by Using Computational Perceptions as Labeled Data-sets: A First Empirical Approximation

Clemente Rubio-Manzano, Tomás Lermanda, Claudia Martinez, Alejandra Segura, Christian Vidal
In this paper, we show how computational perceptions can be employed as labeled datasets to train agents in computer games. The idea is to automatically create a correspondence between perceptions and movements by using computational perception networks, next this knowledge is learned by the agents by...
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

On Preservation of Residuated Lattice Properties for Partial Algebras

Nhung Cao, Martin Štěpnička
This paper concentrates on investigating the preservation of the axioms and essential properties of residuated lattices in partial fuzzy set theory. We consider seven most-known partial algebras dealing with undefined values such as the Bochvar, Bochvar external, Sobociński, McCarthy, Nelson, Kleene,...
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

Approaching the Square of Oppositions in Terms of the f -indexes of Inclusion and Contradiction

Nicolás Madrid, Manuel Ojeda-Aciego
We continue analyzing the properties of f - inclusion and f -contradiction, and provide an alternative interpretation of the square of opposition.
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 Categorical Equivalences for Nelson Algebras with Consistency Operators

Francesc Esteva, Aldo Figallo-Orellano, Tommaso Flaminio, Lluis Godo
The aim of this paper is to present categorical equivalences involving Nelson algebras with a consistency operator. These algebraic structures are the algebraic semantics of a paraconsistent logic, actually a logic of formal inconsistency, based on Nelson logic, also known as constructive logic with...
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

Graded Fuzzy Preconcept Lattices: Theoretical Basis

Alexander Šostak, Ingrīda Uļjane, Māris Krastiņš
Noticing certain limitations of concept lattices in the fuzzy context, especially in view of their practical applications, in this paper we propose a more general approach based on what we call graded fuzzy preconcept lattices. We believe that this approach is more adequate for dealing with fuzzy information...
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

Classification Method of Image Feature Matching Using Naive Bayes Classifier

Jin Yong Kim, Eun Kyeong Kim, Baekcheon Kim, Daekeon Ha, Sungshin Kim
Since matching accuracy determines the performance of the overall algorithm, studies using image features require sophisticated classification technique for matching. However, there is a critical problem that the factors used to classify true or false matches are extremely limited. To solve this problem,...
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

Audio Surveillance of Road Traffic: An Approach Based on Anomaly Detection and Interval Type-2 Fuzzy Sets

Stefano Rovetta, Zied Mnasri, Francesco Masulli, Alberto Cabri
Surveillance systems are increasingly exploiting multimodal information for improved effectiveness. This paper presents an audio event detection method for road traffic surveillance, combining generative deep autoencoders and fuzzy modelling to perform anomaly detection. Baseline deep autoencoders are...
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

Some Approaches Based on Interval-Valued Images and L-Fuzzy Mathematical Morphology for Segmenting Images Reconstructed from Noisy Sinograms

Peter Sussner, Lisbeth Corbacho Carazas, Eduardo X. Miqueles
Two-dimensional image reconstruction from projections is a well known research field with different applications and using different sources, e.g., varying from medical imaging to a synchrotron laboratory. In the mathematical sense, we are looking for a two dimensional piecewise function with compact...
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

Fuzzifying Geospatial Data to Identify Critical Traffic Areas

Jhonny Pincay, Edy Portmann, Luis Terán
This manuscript proposes a framework to design an artifact that combines traffic data of different sources, addresses their low-penetration rate and imprecision, and enables their analysis. The implemented artifact uses probe data of en-route operations of delivery vehicles and Traffic Message Channel-based...
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

fIRTree: An Item Response Theory Modeling of Fuzzy Rating Data

Antonio Calcagnì
In this contribution we describe a novel procedure to represent uncertainty in rating scales in terms of fuzzy numbers. Following the rationale of fuzzy conversion scale, we adopted a two-step procedure based on a psychometric model (i.e., Item Response Theory-based tree) to represent the process of...
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

Why Kappa Regression?

Julio C. Urenda, Orsolya Csiszár, Gábor Csiszár, József Dombi, György Eigner, Olga Kosheleva, Vladik Kreinovich
A recent book provides examples that a new class of probability distributions and membership functions – called kappa-regression distributions and membership functions – leads, in many practical applications, to better data processing results than using previously known classes. In this paper, we provide...
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

Possibilistic Granular Count: Derivation and Extension to Granular Sum

Corrado Mencar
Counting data in presence of uncertainty leads to granular counts that can be represented in terms of possibility distributions. The formula of granular count is derived on the basis of two weak assumptions that can be applied in a wide variety of problems involving uncertain data. The formulation is...
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 a Graded Version of Stochastic Dominance

Raúl Pérez-Fernández, Juan Baz, Irene Díaz, Susana Montes
A random variable is said to stochastically dominate another random variable if the cumulative distribution function of the former is smaller than or equal to the cumulative distribution function of the latter. In this paper, we present a graded version of stochastic dominance by measuring the part of...
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

Qualitative Capacities and Their Informational Comparison

Didier Dubois, Francis Faux, Henri Prade, Agnès Rico
Capacities are monotonically increasing set functions that generalize probability and possibility measures. They are qualitative when they range on a finite linearly ordered scale. This paper pursues a parallel between qualitative capacities and the quantitative setting of belief functions. The qualitative...
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

A Fuzzy Order for Graphs Based on the Continuous Entropy of Gaussian Markov Random Fields

Juan Baz, Irene Díaz, Susana Montes, Raúl Pérez-Fernández
Gaussian Markov Random Fields over graphs have been widely used in the context of both theoretical and applied Statistics. In this paper, we study the influence of the graph on the continuous entropy of the distribution. In particular, since the continuous entropy is highly dependant on the correlations...
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

Conditional Interval Valued Probability and Martingale Convergence Theorem

Katarína Čunderlíková
The aim of this contribution is to define a conditional probability for interval valued events. We show the connection between the conditional probability for interval valued events and the conditional probability for intuitionistic fuzzy events too. We formulate the properties of conditional probability...
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

Quantile Based Summation of Random Variables

Kadir Emir, David Kruml, Jan Paseka, Iveta Selingerová
A simplified calculus for aggregation of random variables is derived. The calculus provides a fast and simple estimation of a given quantile. It can be applied for testing of desired reliability of a production plan.
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

In Search of a Precise Estimator Based on Imprecise Data

Przemyslaw Grzegorzewski, Joanna Goławska
Statistics with interval-valued data are getting less interest from practitioners than it really deserves. This is partly because the solutions it offers are often too conservative and hence do not fully meet the expectations of potential users. Thus it is necessary to develop methods which, despite...
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

Epistemic Bootstrap for Fuzzy Data

Przemysław Grzegorzewski, Maciej Romaniuk
Fuzzy data applied for modeling imprecise observations cause many problems in statistical reasoning and data analysis. To handle better such observations a new bootstrap technique designed for epistemic fuzzy data is proposed. Our new method is conceptually simple and is not hard computationally. Some...
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

Monitoring Acoustic Data Streams Using Possibilistic Aggregation and Multi-label Learning

Katarzyna Kaczmarek-Majer, Olgierd Hryniewicz, Dominika Kornobis, Anna Stachowiak
This paper introduces a novel procedure for statistical monitoring of acoustic data streams supported by possibilistic aggregation and multi-label learning. The primary goal is to learn improved control limits for the residual control charts due to the objective removal of measurements from the non-healthy...
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

Empirical Monotonicity of Non-deterministic Computable Aggregations

Luis Garmendia, Daniel Gómez, Luis Magdalena, Javier Montero
The concept of aggregation has been usually associated with that of aggregation functions, assuming that any aggregation process can be represented by a function. Recently, computable aggregations have been introduced considering that the core of the aggregation processes is the program that enables...
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

The Borda Count as an Initial Threshold for Kemeny Ranking Aggregation

Noelia Rico, Camino R. Vela, Raúl Pérez-Fernández, Irene Díaz
The need of establishing a consensus ranking from the preferences expressed by different voters arises in several contexts. The method proposed by Kemeny to this purpose is famously known due to its numerous fulfilled properties and intuitive interpretation, as it minimizes the number of pairwise comparisons...
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

On Some Functional Equations Related to Alpha Migrative t-conorms

Katarzyna Miś, Michał Baczyński
In this contribution, we analyse in details the recently introduced definition of migrative t-conorms [see Fuzzy implications: alpha migrativity and generalised laws of importation, M. Baczyński, B. Jayaram, R. Mesiar, 2020]. We also focus on some general functional equations, which might be obtained...
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

Some Remarks on Convolution of Collection Integrals

Adam Šeliga
In this paper, we revisit the definition of a convolution of aggregation functions and we will examine the convolution of collection integrals defined on a finite space. Also, we introduce the concept of a convolution and of a lower convolution for monotone measures and examine properties of these convolutions...
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

On Some Generalizations of Homogeneity of Aggregation Functions

Andrea Stupňanová, Yong Su
Positive homogeneity of aggregation functions is one of important properties reflecting the ratio scales in decision making. We recall, introduce and discuss some generalizations of this property, including k-homogeneity, quasi-homogeneity and endpoint linearity.
Proceedings Article

Aggregation Based on Outliers

Anna Kolesárová, Radko Mesiar
Inspired by the basic fuzzy connectives min (t-norm TM) and max (t-conorm SM), we introduce and study outliers-based extended aggregation functions. Simply said, A is an (a, b)-outliers-based extended aggregation function if for each arity n ≥ a + b, its output values depend on the number a minimal and...
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...
Proceedings Article

Continuous OWA Operators

Martin Kalina
Discrete OWA operators introduced by Yager (1988) have been widely used and their theoretical as well as application aspects have been studied since their introduction. Some generalizations to continuous case have already been proposed. In this contribution we extend the approach by Jin et al. (2020).
Proceedings Article

A Characterization of Uninorms by Means of a Pre-order they Induce

Dana Hliněná, Martin Kalina
In Hlinena et al. (2014) the authors, inspired by Karacal and Kesicioglu (2011), introduced a pre-order induced by uninorms. This contribution is devoted to a classification of families of uninorms by means of types of pre-orders (and orders) they induce. Philosophically, the paper follows the original...
Proceedings Article

Extreme Points of Polytopes of Discrete Copulas

Elisa Perrone, Fabrizio Durante
Discrete copulas are useful tools in statistics to represent the joint distribution of discrete random vectors. Furthermore, they are fascinating mathematical objects that admit a representation as a convex polytope. In this work, we analyze the set of extreme points of convex polytopes of discrete copulas....
Proceedings Article

Bigfoot Climbing the Hill with ILP to Grow Patterns in Fuzzy Tensors

Lucas José Carneiro Maciel, Jônatas Alves, Vinicius F. dos Santos, Loïc Cerf
Fuzzy tensors encode to what extent n-ary predicates are satisfied. The disjunctive box cluster model is a regression model where sub-tensors are explanatory variables for the values in the fuzzy tensor. In this article, the most informative patterns according to that model, with high areas times squared...
Proceedings Article

Applicability of Ordinal Sums of Conjunctive and Disjunctive Functions in Classification

Miroslav Hudec, Radko Mesiar, Erika Mináriková
Classification relies on the rules expressed by domain experts, or on the labeled attribute explaining the output classes. However, such information is not always available. In this work, we explore classification according to aggregation functions of mixed behaviour by the variability in ordinal sums...
Proceedings Article

Aggregation Operators for Comparative Possibility Distributions and Their Role in Group Decision Making

Andrey Zubyuk, Egor Fadeev
In this paper, we study an application of qualitative possibility theory to decision making under uncertainty. The word “qualitative” means that uncertainty is modeled using comparative possibility distributions on a universal set Ω. Such a possibility distribution defines how likely each elementary...
Proceedings Article

Fuzzy approach based money laundering risk assessment

Maris Krastins
This paper introduces solution for numeric evaluation of money laundering risk containing several different risk factors. For this purpose we consider the options for aggregation of risk factors and obtaining consolidated risk level. The proposed models are constructed using maximum t-conorm and Łukasiewicz...
Proceedings Article

An approach to vocabulary expansion for neural network language model by means of hierarchical clustering

Pavel V. Dudarin, Nadezhda G. Yarushkina
Neural network language models become the main tool to solve tasks in NLP field. These models already have shown state-of-the-art results in classification, translation, named entity recognition and so on. Pre-trained models are distributed freely in the internet, and could be reused with help of transfer...
Proceedings Article

On Agglomerative Hierarchical Percentile Clustering

Fabrizio Durante, Aurora Gatto, Susanne Saminger-Platz
Cluster analysis aims at grouping objects represented by some feature vectors and as such revealing insight into subset structures among the considered objects. However, in many cases, the observations are subject to experimental errors and/or uncertainty. In such a case, a popular way is to summarize...
Proceedings Article

Modeling CDC in a fuzzy description logic A comparison of different approaches

Martin Unold, Christophe Cruz
Relative information about locations of places can be described using the cardinal direction calculus (CDC). Some extensions of the calculus allow to express vague information and others include nearness/closeness. The development of description logics for qualitative spatial calculi has also been done....
Proceedings Article

Fuzzy Relations and Monometrics: Some Correspondences

Megha Gupta, Balasubramaniam Jayaram
Fuzzy relations that are not T -transitive have not merited as much scrutiny as their T - transitive counterparts. Recently monometrics on a given betweenness set, or a B-set, has garnered a lot of attention, especially for their role in decision making and penalty based data aggregation. In this work,...
Proceedings Article

Free Mechanical Vibrations Models via p-fuzzy Systems

Laécio C. Barros, Daniel Sanchez, Rodolfo Lobo, Estevão Esmi
In this work, we use a Mamdani fuzzy controller based on fuzzy rules that represent position and velocity of a particle for a free mechanical vibration model. Here, we focus on three major cases: the harmonic oscillator, the damped vibration, and the negative damping case. This study combines classical...
Proceedings Article

Orders from Uninorms on Bounded Lattices: Some Perspectives

Vikash Kumar Gupta, Balasubramaniam Jayaram
Recently many works have proposed different ways of obtaining orders from associative fuzzy logic operations. While the order ⊑ investigated by Karaçal and Kesicioğlu [10] was modified in [6] to obtain orders on uninorms, this order relation was based on the sub-domains of the arguments. Recently in...
Proceedings Article

Forecasting Cryptocurrency Time Series Using Fuzzy Transform, Fourier Transform and Fuzzy Inference System

Srdjan Jelinek, Ana Poledica, Bratislav Petrović, Pavle Milošević
In this paper we propose a new approach for forecasting the cryptocurrency time series, which combines the fuzzy transform and the fuzzy inference system. We also test whether fuzzy transform yields better results forecasting results in comparison to Fourier transform. Finally, we will investigate whether...
Proceedings Article

An Alternative Characterization of t-norms and t-conorms On An Appropriate Bounded Lattice

Emel Aşıcı
In this paper, we present new methods for constructing triangular norms and triangular conorms on an arbitrary bounded lattice under some constraints. Also, we give some illustrative examples for the clarity. Then, we investigate the relation between introduced methods and present methods given in Theorem...
Proceedings Article

For Quantum and Reversible Computing, Intervals Are More Appropriate Than General Sets, And Fuzzy Numbers Than General Fuzzy Sets

Oscar Galindo, Vladik Kreinovich
Need for faster and faster computing necessitates going down to quantum level -- which means involving quantum computing. One of the important features of quantum computing is that it is reversible. Reversibility is also important as a way to decrease processor heating and thus, enable us to place more...
Proceedings Article

Some Conclusions on the Direct Product of Uninorms on Bounded Lattices

Emel Aşıcı, Radko Mesiar
Recently, the notation of the order induced by uninorms (t-norms, nullnorms) has been studied widely. In this paper, we study on the direct product of uninorms on bounded lattices. Also, we define an order induced by uninorms which are a direct product of two uninorms on bounded lattices. Also, we investigate...
Proceedings Article

Prediction quality of Bayesian belief network model for risky behavior: comparison of subsamples with different rates

Alena Suvorova, Alexander Tulupyev
The study investigates the proposed approach for behavior modeling on the base of Bayesian belief networks that allows predicting behavior characteristics using small and incomplete data from surveys about behavior episodes. We explored the prediction quality of the models in case of rare behavior. The...
Proceedings Article

Outlier Detection in Location Based Systems By Using Fuzzy Clustering

Basar Oztaysi, Sezi Cevik Onar, Cengiz Kahraman
Customer segmentation has been one of most important decision in marketing. In general, demographics of customers, monetary value of customer transactions, types of product/service used are the sources of segmentation process. In recent years, new technology enabled new sources of data. On of these new...
Proceedings Article

On a New Class of Trivariate Copulas

C. Ignazzi, F. Durante
Starting with three bivariate copulas and some auxiliary univariate functions, we determine a construction method of trivariate copulas, which generalizes a class of copulas previously introduced by M. Úbeda-Flores (2005). Specifically, we provide a characterization of this class of 3–copulas and we...
Proceedings Article

Two theorems from extreme value theory for interval valued events

Katarína Čunderlíková
In papers \cite{BartkovaCunderlikova18, BartkovaCunderlikova18p} we proved the Fisher-Tippett-Gnedenko theorem and the Pickands-Balkema-de Haan theorem on family of intuitionistic fuzzy events. Since between the intuitionistic fuzzy events and the interval valued events exist a connection, so we try...
Proceedings Article

New Classes of the Moderate Deviation Functions

Jana Špirková, Humberto Bustince, Javier Fernandez, Mikel Sesma-Sara
At present, in the field of aggregation of various input values, attention is focused on the construction of aggregation functions using other functions that can affect the resulting aggregated value. This resulting value should characterize the properties of the individual input values as accurately...