Atlantis Studies in Uncertainty Modelling

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114 articles

Prioritizing the Strategies to Enhance Smart City Logistics by Intuitionistic Fuzzy CODAS

Gulcin Buyukozkan, Fethullah Göçer
Accurate, well-timed, and efficient delivery operations is a must for supply chains and logistics providers’ survival in a digitally enhanced business environment. Sustainability, mobility and livability related objectives of Smart City Logistics (SCL) address the reduction of trucks, congestion and...

Dimensionality Reduction and Its F-Transform Representation

Jiří Janeček, Irina Perfilieva
The aim of this contribution is to connect two techniques: the F-transform on a space with a fuzzy partition and dimensionality reduction. We show how a space with a fuzzy partition can be characterized in terms of the graph Laplacian. After making the spectral analysis of the corresponding Laplacian...

Towards fuzzy relational Galois connections between fuzzy T-digraphs

Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco, Manuel Ojeda-Aciego
In this paper, we give the first steps towards a formal definition of fuzzy relational Galois connection between fuzzy sets with arbitrary fuzzy transitive relations (fuzzy T-digraphs), where the two components of the connection are fuzzy relations. To this end we consider, on the one hand, our definition...

Formal Equivalence Analysis

Francisco José Valverde Albacete, Carmen Peláez-Moreno, Pablo Cordero, Manuel Ojeda-Aciego
Following R. Wille's lead and suggestion we set out to design a new kind of view onto a formal context analogous but different to Formal Concept Analysis (FCA) and Formal Independent Analysis (FIA). In this instance, we choose to analyse the information in the incidence table in terms of the partitions...

WordNet and Prolog: why not?

Pascual Julian-Iranzo, Fernando Saenz-Perez
This paper describes a set of Prolog modules with predicates to access the information stored in the lexical data base WordNet. The aim is to use the dened predicates for empowering (fuzzy) logic programming systems for approximate reasoning tasks. To achieve this goal it is necessary to have means to...

Merging Clusters in Summary Structures for Data Stream Mining based on Fuzzy Similarity Measures

Leonardo Schick, Priscilla Lopes, Heloisa Camargo
Fuzzy Clustering is one of the mining techniques that have been used to extract information from Data Streams. In our previous research we have developed an algorithm called d-FuzzStream, a fuzzy version of the Online-Offline Framework, which consists of two steps: an online step, where a summary structure...

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...

Type-2 Fuzzy Logic Approach for Overloaded Hosts in Consolidation of Virtual Machines in Cloud Computing

Bruno Moura, Guilherme Schneider, Adenauer Yamin, Mauricio Pilla, Renata Reiser
Dynamic consolidation of virtual machines (VMs) is an effective way to improve resource utilization and power efficiency in cloud computing. Determining when it is best to relocate VMs from an overloaded host is one aspect of dynamic VM consolidation that directly influences the resource utilization...

On the relationship between L-fuzzifying approximation spaces and L-fuzzifying pretopological spaces

Anand Pratap Singh, Irina Perfilieva
The aim of this contribution is to establish the interrelationship between L-fuzzifying approximation spaces based on reflexive L-fuzzy relations and L-fuzzifying pretopological spaces. This connection is established in the category theoretic setup.

An Approach Towards Image Edge Detection Based on Interval-Valued Fuzzy Mathematical Morphology and Admissible Orders

Peter Sussner, Lisbeth Corbacho Carazas
Edge detection is an important step for pre-processing digital images before more advanced methods of image analysis such as segmentation can be applied. There are an infite number of edge detectors that can be derived from pairs of fuzzy dilation and erosion operators. Usually, an edge detector is based...

2-Tuple Linguistic Integrated Group Decision Making Methodology for E-Commerce Strategy Selection

Gulcin Buyukozkan, Deniz Uztürk
2-Tuple linguistic model, which is a fuzzy logic based linguistic decision-making tool, enables the use of multi-granulated linguistic variables in decision making. This property facilitates the decision-making process for decision makers (DMs) and provides a comfortable decision-making environment for...

Pattern Classification on Complex System Using Modified Gustafson- Kessel Algorithm

Miguel Khatounian Filho, Leo Koki, Renato Aguiar
This work has been focused in the application of Gustafson- Kessel Algorithm in a complex system through a methodology proposed. The complex system here considered will be the financial market. So, the main objective of this paper is to classify objects in two patterns: winner and loser. The methodology...

Content Determination for Natural Language Descriptions of Predictive Bayesian Networks

Martín Pereira-Fariña, Alberto Bugarín
The dramatic success of Artificial Intelligence applications has been accompanied by more complexity, which makes its comprehension for final users more difficult and damages trustworthiness as a result. Within this context, the emergence of Explainable AI aims to make intelligent systems decisions and...

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...

Scalarization for Approximate Multiobjective Multiclass Support Vector Machine Using the Large-k Norm

Yoshifumi Kusunoki, Keiji Tatsumi
We study a multiclass extension of support vector machine (SVM) based on geometric margin maximization. Since there are different margins for different class-pairs, the maximum-margin SVM can be formulated as a multiobjective optimization problem. This multiobjective multiclass SVM (MMSVM) is difficult...

Modelling competing theories

Willem Conradie, Andrew Craig, Alessandra Palmigiano, Nachoem Wijnberg
We introduce a many-valued semantics for basic normal lattice-based modal logic. This semantics is based on reflexive many-valued graphs. We discuss an interpretation and possible applications of this logical framework in the context of the formal analysis of the interaction between (competing) scientific...

Modified multivariate F-transform based on B-splines

Martins Kokainis, Svetlana Asmuss
We deal with the higher degree multivariate fuzzy transforms (F-transforms with polynomial components) in the case when generalized fuzzy partition of the Cartesian product of intervals is given by multivariate B-splines. The aim of this paper is to generalize the technique of modified F-transform introduced...

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...

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...

A debate model for cooperative agents to achieve common objectives

Abdelhak Imoussaten, Jacky Montmain
We consider the situation where a group of agents are involved in the achievement of a common goal. Each agent owns a set of actions that are partial solutions for the problem to be solved. Moreover, different agents may have the same actions. In order to decide which action to select from different...

Incremental Learning of Fuzzy Decision Trees for Streaming Data Classification

Riccardo Pecori, Pietro Ducange, Francesco Marcelloni
Data stream analysis is growing in popularity in the last years since several application domains require to continuously and quickly analyse data produced by sensors with the aim of, for instance, reacting immediately when problems arise, or detecting new trends. The specificity of these domains imposes...

Convex preferences as aggregation of orderings

Marta Cardin
Convexity of preferences is a canonical assumption in economic theory. In this paper we consider a generalized definition of convex preferences that relies on the abstract notion of convex space.

Interpolative Boolean Algebra for Generalizations of Intuitionistic Fuzzy Sets

Pavle Milošević, Bratislav Petrović
The idea of this paper is to investigate intuitionistic fuzzy set (IFS) generalizations and make one step further into that direction by introducing interpolative Boolean algebra (IBA) to Liu’s generalized IFS. First, we aim to give an overview of the existing attempts to generalize or alter the definition...

Stability of Fuzzy Cognitive Maps with Interval Weights

Istvan Harmati, Laszlo T. Koczy
In fuzzy cognitive maps (FCMs) based modelling paradigm, the complex system's behaviour is gathered by the causal connections acting between its main characteristics or subsystems. The system is represented by a weighted, directed digraph, where the nodes represent specific subsystems or features, while...

Transitivity properties of ternary fuzzy relations

Lemnaouar Zedam, Bernard De Baets
Recently, we have introduced six types of composition of crisp ternary relations. These compositions are close in spirit to the definition of the composition of binary relations. In this note, we extend these notions to the fuzzy setting. Based on these types of composition, we introduce several types...

Some remarks on topological structures in the context of fuzzy relational mathematical morphology

Alexander Sostak, Ingrida Uljane
In this paper, we develop a topological view point on the subject of mathematical morphology. We shaw that erosion can be interpreted as a certain remote fuzzy interior operator; in its turn dilation can be interpreted as a remote fuzzy closure operator. Further, we introduce two kinds (upper and lower)...

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....

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)...

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...

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...

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...

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...

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...

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...

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...

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....

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...

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...

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...

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...

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...

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...

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...

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...

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...

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,...

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...

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....

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...

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...