Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)

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93 articles
Proceedings Article

Fuzzy Partitioned Discrete-event Systems Under Controllability

Shailendra Singh, S.P. Tiwari
This paper aims to study the fuzzy partitioned discrete-event systems and its supervisory control theory under full observation. Specifically, we introduce the concept of a fuzzy partitioned automaton corresponding to a given automaton. Further, we introduce the model of a fuzzy partitioned discrete-event...
Proceedings Article

Monadic Power Set Theories in Kleisli Categories

Jiří Močkoř
In this paper, we follow up on the well-known interpretation of fuzzy relations as morphisms in Kleisli category defined in the category of sets using a suitable monad. This Kleisli category thus becomes a relational variant of the classical category of fuzzy sets. This interpretation and the associated...
Proceedings Article

Convexity of Interval-valued Fuzzy Sets Applied to Decision-Making Problems

Pedro Huidobro, Pedro Alonso, Vladimir Janiš, Susana Montes
Fuzzy sets can help us with imprecision, however, there are situations we are not able to assign an accurate value. Interval-valued fuzzy sets are applied in decision-making to deal with imprecision. The convexity of interval-valued fuzzy sets establishes some interesting results about decision local...
Proceedings Article

Sup-T Compositions of Partial Fuzzy Relations

Libor Běhounek, Martina Daňková
We present basic properties of the operation of sup-T composition of partial fuzzy relations, i.e., fuzzy relations defined on arbitrary subsets of the Cartesian square of the referential set. We show that for partial fuzzy relations, these properties are fairly similar to those for totally defined fuzzy...
Proceedings Article

Triangular Fuzzy Relational Products of Level Fuzzy Relations

Nhung Cao, Michal Burda
This paper firstly aims at investigating distinct properties of the Bandler-Kohout sub-product and superproduct of level fuzzy relations or level relations. We show that these triangular products preserve several desirable properties similar to those valid for the compositions of standard fuzzy relations....
Proceedings Article

Closure Systems as a Fuzzy Extension of Meet-subsemilattices

Manuel Ojeda-Hernández, Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco
An extension of the notion of closure system is studied adapting the idea of meet-subsemilattice to a complete fuzzy lattice. Results relating closure operators and closure systems in the classical case are extended properly to this framework. This definition is proved to be equivalent to the most used...
Proceedings Article

Interpretable Monotonicities for Entropies of Intuitionistic Fuzzy Sets or Interval-valued Fuzzy Sets

Christophe Marsala, Bernadette Bouchon-Meunier
Monotonicity is a major property of entropy measures. In this paper, we focus on entropy measures for intuitionistic fuzzy sets and interval-valued fuzzy sets. We consider their polar representation which provides an easy interpretation of monotonicity for several entropy measures introduced in the literature....
Proceedings Article

Extending Representability on the Set of Intervals Endowed with Admissible Orders for the Construction of Interval-valued Fuzzy Operators

Lidiane da Silva, Guilherme Schneider, Bruna Freitas, Adenauer Yamin, Helida Santos, Benjamín Bedregal, Renata Reiser
In this work, we provide a study on the representability of interval-valued fuzzy connectives considering partial and admissible orders. Our approach considers those orders based on injective aggregation functions which allowed the construction of interval-valued operators. An immediate result is the...
Proceedings Article

CG2A: Conceptual Graphs Generation Algorithm

Adam Faci, Marie-Jeanne Lesot, Claire Laudy
Conceptual Graphs (CGs) are a formalism to represent knowledge. The production of CG benchmarks is currently a crucial need in the community to validate algorithms. This paper proposes CG2A, an algorithm to build synthetic CGs exploiting most of their expressivity. CG2A takes as input constraints that...
Proceedings Article

Evolving Fuzzy System Applied to Battery Charge Capacity Prediction for Fault Prognostics

Murilo Camargos, Iury Bessa, Luiz A. Q. Cordovil Junior, Pedro Coutinho, Daniel Furtado Leite, Reinaldo Martinez Palhares
This paper addresses the use of data-driven evolving techniques applied to fault prognostics in Li-ion batteries. In such problems, accurate predictions of multiple steps ahead are essential for the Remaining Useful Life (RUL) estimation of a given asset. The fault prognostics’ solutions must be able...
Proceedings Article

Incremental Learning and State-Space Evolving Fuzzy Control of Nonlinear Time-Varying Systems with Unknown Model

Daniel Leite, Pedro Coutinho, Iury Bessa, Murilo Camargos, Luiz A. Q. Cordovil Junior., Reinaldo Palhares
We present a method for incremental modeling and time-varying control of unknown nonlinear systems. The method combines elements of evolving intelligence, granular machine learning, and multi-variable control. We propose a State-Space Fuzzy-set-Based evolving Modeling (SS-FBeM) approach. The resulting...
Proceedings Article

Analysis of the Relation Among Global Stocks Using Fuzzy/Linguistic IF-THEN Rules

Sina Mirshahi, Soheyla Mirshahi, Vilém Novák
In this paper, using a fuzzy mathematical model, we analyze multiple stocks and produce a description for their interrelation. Our analysis is based on theories of F-transform and fuzzy natural logic. The suggested method consists of two main steps; first, we smooth out time series using F-transform....
Proceedings Article

Balancing Data Within Incremental Semi-supervised Fuzzy Clustering for Credit Card Fraud Detection

Gabriella Casalino, Giovanna Castellano, Nicola Marvulli
As the number of online financial transactions increases, the problem of credit card fraud detection has become quite urgent. Machine learning methods, including supervised and unsupervised approaches, have been proven to be effective to detect fraudulent activities. In our previous work presented at...
Proceedings Article

Fuzzy Clustering-based Switching Non-negative Matrix Factorization and Its Application to Environmental Data Analysis

K. Honda, T. Furukawa, S. Ubukata, A. Notsu
Non-negative matrix factorization (NMF) is a basic method for analyzing the intrinsic structure of non-negative matrices but cannot work well when datasets include some subsets drawn from different generative schemes. This paper proposes a novel switching NMF algorithm, which simultaneously estimates...
Proceedings Article

Discovery of Pairwise Ordinal Edit Rules

Milan Peelman, Antoon Bronselaer, Guy De Tré
Edit rules are simple tuple-level constraints that concisely model which tuples are not permitted in a consistent relation. Previously, developed algorithms mostly assumed nominal data. This implies that ordinal data either had to be discarded or discretized according to expert knowledge. We can omit...
Proceedings Article

Fuzzy Co-clustering Algorithm for Multi-source Data Mining

Le Thi Cam Binh, Pham Van Nha, Pham The Long
The development of information and communication technology has motivated multi-source data to become more common and publicly available. Compared to traditional data that describe objects from a single-source, multi-source data is semantically richer, more useful, however many-feature, more uncertain,...
Proceedings Article

Fuzzy Optimization Multi-objective Clustering Ensemble Model for Multi-source Data Analysis

Le Thi Cam Binh, Pham Van Nha, Ngo Thanh Long
In modern data analysis, multi-source data appears more and more in real applications. Different data sources provide information about different data. Therefore, multi-source data linking is important to improve the processing performance. However, in practice multi-source data is often heterogeneous,...
Proceedings Article

Solution to the Advection Equation with Fuzzy Initial Condition via Sup-J Extension Principle

Vinícius F. Wasques, Estevão Esmi, Laécio C. Barros
This paper presents a study on the advection equation with an uncertain condition given by a fuzzy-number-valued function. A fuzzy solution to the problem is presented. This solution is obtained from the sup-J extension principle, which is a generalization of the Zadeh’s extension principle. In this...
Proceedings Article

Laplacian Singular Values

Jiří Janeček, Irina Perfilieva
In this contribution, we focus on extending the Laplacian processing used in data-driven dimensionality reduction based on weighted graphs by incorporating the concept of singular value decomposition. We indicate a novel point of view on generalized eigenvalue problem by pointing out geometric meaning...
Proceedings Article

Discrete Laplace Operator in the Space with a Fuzzy Partition

Hana Zámečníková, Irina Perfilieva
Differential operators definitely play an important role in image processing tasks. One of the most frequently used operator for this purpose is the Laplace operator, usually defined as the divergence of a gradient of a function. Since images are considered as discrete objects, many applications require...
Proceedings Article

Fuzzy Partitions and Multi-Scale Representation of 1D Data

Irina Perfilieva, David Adamczyk
We analyze various multi-scale representations of a one-dimensional signal in spaces with a closeness relation determined by a symmetric and positive semi-definite kernel. We discuss other kernels than the predominant Gaussian kernel in a scale space representation of a one-dimensional signal. We show...
Proceedings Article

F1-transform in Fuzzy Fredholm Integral Equations

Tam Pham, Irina Perfilieva
The goal of this study is to solve fuzzy Fredholm integral equations of the second kind. In order to solve these equations with respect to fuzzy valued functions, we propose a very powerful and relatively simple technique called fuzzy transform. This approach allows the transformation of a fuzzy Fred-holm...
Proceedings Article

On Quotient Structures of Fuzzy Multiset Finite Automata

Anand P. Singh, M. K. Dubey, I. Perfilieva
The objective of this paper is to characterize the quotient structures of fuzzy multiset finite automata. We introduce different congruence relation on multiset associated with fuzzy multiset finite automata and show that each congruence relation associates a semigroup with the fuzzy multiset finite...
Proceedings Article

Bidimensional Fuzzy Initial Value Problem of Autocorrelated Fuzzy Processes via Cross Product: The Prey-Predator Model

Beatriz Laiate, Laécio C. Barros, Francielle Santo Pedro, Estevão Esmi
This paper introduces the notion of a bidimensional fuzzy initial value problem for a special class of fuzzy functions. These functions, also called A-linearly correlated fuzzy processes, are a particular case of the so-called S-linearly correlated fuzzy processes, whose range is embedded in Banach spaces...
Proceedings Article

A Numerical Approach For Determining Interactivity: A Case Study in Chemical Degradation

Peter Sussner, Vinícius Wasques, Julio Cesar Fernandes, Estevão Esmi
Interactivity naturally occurs in many real-world problems. The main goal of this paper is to propose a first approach toward characterizing the interactivity that is inherently present in the derivative of an unknown interval or fuzzy number valued function that is subject to certain restrictions. A...
Proceedings Article

A Case Study of AutoML for Supervised Crash Severity Prediction

Juan S. Angarita-Zapata, Gina Maestre-Gongora, Jenny Fajardo Calderín
Traffic accidents are one of the leading causes of death around the world. One well-established strategy to deal with this public health issue is the design and deployment of road safety systems, which are in charge of predicting traffic crashes to promote safer roads. Increasing data availability has...
Proceedings Article

A Methodology for More Sustainable Agriculture Through Early Crop Frost Forecasting

Jose M. Cadenas, M. Carmen Garrido, Raquel Martínez-España
Climate change is causing abrupt changes in temperature, which adds to earlier flowering of crops and possible crop failure due to negative temperatures at night. Anti-frost techniques exist to save crops but they require natural and human resources which increase costs. Therefore the application of...
Proceedings Article

Measuring the Environmental Cost in the Evaluation of Metaheuristics

Pavel Novoa-Hernández, Amilkar Puris, David A. Pelta
Several situations associated with the Sustainable Development Goals can be modeled as optimization problems that, under certain circumstances, can be solved with metaheuristics. In this paper we focus in the environmental impact (carbon footprint) that running such techniques produces. Through the...
Proceedings Article

A Comparative Analysis Based on GIS and Fuzzy MCDM Approaches

Case Study: Offshore Wind Site Selection in the Gulf of Maine

J.M. Sánchez-Lozano, A. Ramos Escudero, I.C. Gil-García, M.S. García-Cascales, A. Molina-García
The site selection process to optimize renewable facilities has become a relevant issue, mainly due to the variability of such resources. Among the different solutions, Geographic Information Systems in combination with fuzzy logic and Multi-Criteria Decision Making approaches provide a consistent tools...
Proceedings Article

A Sentiment-Based Author Verification Model Against Social Media Fraud

Khodor Hammoud, Salima Benbernou, Mourad Ouziri
The widespread and capability of Iot devices have made them a primary enabler for online fraud and fake authorship on social media. We present a novel approach, which uses sentiment analysis, to solve the problem of author verification in short text. We perform experimentation with our model on tweets,...
Proceedings Article

Data Fusion in Question Answering Systems over Multiple-Knowledge Bases

Nhuan D. To, Marek Z. Reformat
The additional ability to span over multiple Knowledge Bases would further increase the usefulness and potentially comprehensiveness of the system’s responses. Multiple different Knowledge Bases, as much as they can complement each other regarding the lack of specific information, quite often contain...
Proceedings Article

Nonlinear Fuzzy Model Predictive Control of the TCP-100 Parabolic Trough Plant

Juan Manuel Escaño, Antonio J. Gallego, Adolfo J. Sánchez, Luis J. Yebra, Eduardo F. Camacho
Advanced control strategies can play an important role in improving the efficiency of solar plants. In particular, linear model predictive control strategies have been applied successfully when controlling solar trough plants. However, if the control algorithm uses a linear model associated only with...
Proceedings Article

Neuro-fuzzy Modelling of a Linear Fresnel-type Solar Collector System as a Digital Twin

William D. Chicaiza, Adolfo J. Sánchez, Antonio J. Gallego, Juan M. Escaño
One of the main components of a Digital Twin is the modeling of the virtual entity, being this a high-fidelity digital model of the physical entity that represents the modeling of geometry, modeling of physical properties, modeling of behavior, and modeling of rules in the virtual world. This paper...
Proceedings Article

A Fuzzy-based Approach for Energy Management of DHW Systems in Hotels

M. Llano, R. Mesa-Cruz, A. Hamilton, J. Acosta, J. A. Mendez Perez
This paper focuses on the intelligent management of domestic hot water (DHW) systems in buildings. Thermal installations are studied in depth due to the high percentage they represent in energy consumption, moreover, they usually lack management systems. To address this problem, firstly a functional...
Proceedings Article

A Minimax Criterion Approach to Treat the Inexactness in Feasible Set of a Linear Programming Problem

Zhenzhong Gao, Masahiro Inuiguchi
The robustness analysis investigates the optimality of a solution in a linear programming problem that contains uncertainties. Conventionally, researchers concentrated on the one with a fixed feasible set, while in this paper, we focus on an inexact one. Since an inexact feasible set usually makes a...
Proceedings Article

Learning of Consistent Preference Relations for Decision Making and Optimization in Context of Interacting Goals

Rudolf Felix
In former papers a decision and optimization algorithm based on interactions between goals was introduced and it was shown how it solves relevant real-world problems. However, the algorithm assumed preference information on the goals as initially given. In this paper we describe a learning algorithm...
Proceedings Article

A Soundness Test for Multi Criteria Decision Models with Imprecise Data

Camilo Franco, Jens Leth Hougaard
This paper proposes a set of minimal conditions which should be fulfilled by any multi-criteria additive procedure set out to work under imprecision. The proposed conditions are defined in terms of binary preference relations, which are inferred from interval-valued alternatives, and are shown to be...
Proceedings Article

How General Is Fuzzy Decision Making?

Olga Kosheleva, Vladik Kreinovich
In many practical situations, users describe their preferences in imprecise (fuzzy) terms. In such situations, fuzzy techniques are a natural way to describe these preferences in precise terms. Of course, this description is only an approximation to the ideal decision making – that a person would perform...
Proceedings Article

An Ordered Weighted Averaging Operator Based on Extreme Values Reductions

Diego García-Zamora, Álvaro Labella, Rosa M. Rodríguez, Luis Martínez
Classical Group Decision Making (GDM) problems require the use of aggregation functions to fuse the information elicited from the experts who participate in the decision process. One of the most widely adopted aggregation functions employed in GDM are the Ordered Weighting Averaging (OWA) operators which...
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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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...
Proceedings Article

Aggregation of Operators of Fuzzy Relational Mathematical Morphology: Erosion and Dilation

Alexander Šostak, Ingrīda Uļjane
Revising the definitions of fuzzy relational erosion and dilation introduced by N. Madrid et al. (L-fuzzy relational mathematical morphology based on adjoint triples. Inf. Sci. 474, 75–89, 2019), we define the structured versions of these operators and study their basic properties. Our principal interest...
Proceedings Article

Order Based on Non-Associative Operations

Kavit Nanavati, Balasubramaniam Jayaram
Recently there have been many works studying orders obtained from fuzzy logic connectives, using the relation proposed in [12]. However, almost all of these works have dealt only with associative operations. In this work, we investigate the conditions under which the above relation leads to a partial...
Proceedings Article

Inf- and Sup-preserving Aggregation Functions

Marta Cardin
We introduce inf-lattices, sup-lattices and convexity algebras and we define closure or interior operators and congruences in these algebraic structures. We prove that any inf-lattice can be represented as a quotient of a power set lattice with respect to a congruence. Moreover we consider closure operators...
Proceedings Article

On the Preservation of Some Additional Properties via the Quadratic Polynomial Construction Method of Fuzzy Implication Functions

Isabel Aguiló, Sebastia Massanet, J. Vicente Riera
Following the extensively studied line of research of proposing new construction methods of fuzzy implication functions, recently a construction method based on a quadratic polynomial function and a given fuzzy implication function was proposed. The importance of this method relies on the fact that some...