Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

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236 articles

How I would like to foresee the future of theoretic fuzzy logic

Enric Trillas
Departing from how the speaker became involved, and by what he did work with fuzzy sets and fuzzy logic, an (obviously subjective) look at their future will be discussed. Namely, by arguing on some aspects such research could follow to not only being a theoretic ground for Zadeh’s Computing with Words,...

A tour on big data classification: Selected Computational Intelligence approaches

Francisco Herrera
In this age, big data applications are increasingly becoming the main focus of attention because of the enormous increment of data generation and storage that has taken place in the last years, in science, business, . . . This situation becomes a challenge when huge amounts of data are processed to extract...

Being a “Dataologist”: From Data to Networks to Personalized Healthcare

Nitesh Chawla
In this talk, I will discuss our research in leveraging Big Data for the Common Good. I will provide an overview of different research initiatives in my research program in network and data science, including applications to grand societal challenges. I will focus on our research initiative in patient-centered...

Evolutionary Optimization of complex Systems in Uncertain Environments

Yaochu Jin
This talk aims to discuss the main challenges in evolutionary optimization of complex systems to bridge the gap between the academic research and the urgent demands from industry. We will show that, while solving “hard” problems, such as multi-modal and strongly correlated problems, multi-objective optimization...

Fuzzy Sets, Cut Systems and Closure Operators in Sets with Similarities

Jirí Mockor
Closure operators defined on various sets (set of all classical fuzzy sets, set of all semi-cuts, set of all cuts in a Q-set, etc.) are investigated and it is shown how a closure operator defined on one set can be extended to a closure operator defined on another set.

Square roots of matrices over a complete lattice

Feng Sun, Xue-ping Wang, Xiao-bing Qu, Tian-fei Wang
This paper deals with square roots of a matrix over a complete lattice, where the matrix composition is _ U with U being an infinitely _-distributive isotonic operator. We give a general characterization for the existence of a square root of a matrix over a complete lattice. Furthermore, we give methods...

The structure of solution sets of fuzzy relation equations

Xiaobing Qu, Feng Sun, Tianfei Wang, Qingquan Xiong
In this paper, we consider the structure of solution sets of fuzzy relation equations over complete Boolean algebras. We show that each solution of a system of fuzzy relation equations can be represented by a linear combination of a special solution of its and some certain solutions of the homogeneous...

Incomplete preference matrix with elements from an Alo-group and its application to ranking of alternatives

Jaroslav Ramík
A preference matrix is the result of pairwise comparison and is a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value from a given scale which is a linearly ordered Abelian group (Alogroup) to any pair of alternatives representing the element...

Conditionally Firing Implicative Rules

Martin Stepnicka, Sayantan Mandal
Conditionally firing rules have been proposed by B. Moser and M. Navara in order to preserve natural properties that are not preserved by the usual setting of fuzzy inference systems such as Mamdani- Assilian rules joined to the CRI inference mechanism. In this paper, we follow this direction and show,...

An Extension of Fuzzy Relational Compositions Using Generalized Quantifiers

Nhung Cao, Martin Stepnicka, Michal Holcapek
Fuzzy relational compositions have been extensively studied by many authors. Especially, we would like to express studies of the fuzzy relational compositions motivated by their applications to medical diagnosis by Willis Bandler and Ladislav Kohout. These types of compositions use only two quantifiers:...

Lower Approximations by Fuzzy Consequence Operators

Jorge Elorza, Jordi Recasens
Three ways to find lower approximations of a given fuzzy operator are given. A Representation Theorem for fuzzy consequence operators is obtained.

A generalized α-level decomposition concept for numerical fuzzy calculus

Arthur Seibel, Josef Schlattmann
This paper presents a new concept for the decomposition of fuzzy numbers into a finite number of α-cuts. Instead of subdividing the µ axis in an equidistant way, we suggest to subdivide the x axis equidistantly leading to a more efficient decomposition of the µ axis. Considering the interpolation...

A dual decomposition of the single-parameter Gini social evaluation functions

Carmen Puerta, Ana Urrutia
For each single-parameter Gini social evaluation function, and by using the dual decomposition of the OWA operators, we derive two contributing factors. The …rst one, the self-dual core that can be considered as a positional measure, similar to the mean. The second one, the anti-self dual remainder,...

Fuzzy relational equations and the covering problem

Qing-quan Xiong, Qian-yu Shu
The work considers the problem of solving a system of fuzzy relational equations with inf-implication composition and introduces the concepts of a characteristic matrix and attainable components. It is first shown that solving the system is closely related with the covering problem. Further, it is proved...

Steady states of max-Lukasiewicz fuzzy systems

Zuzana Nemcová
The paper gives the systematic characterization of eigenspace in max-T algebra where T is equal to ukasiewicz t-norm. Max- ukasiewicz fuzzy algebra can be used for the description of the states of Discrete-event systems. The states can represent a balance of the resource unit expended during the evolution...

Fuzzy Graph Clustering based on Non-Euclidean Relational Fuzzy c-Means

Thomas A. Runkler, Vikram Ravindra
Graph clustering is a very popular research field with numerous practical applications. Here we focus on finding fuzzy clusters of nodes in unweighted, undirected, and irreflexive graphs. We introduce three new algorithms for fuzzy graph clustering (Newman–Girvan NERFCM, Small World NERFCM, Signal NERFCM)....

The steady states and robustness of fuzzy discrete dynamic systems

Martin Gavalec, Ján Plavka
The steady states of a fuzzy discrete dynamic system correspond to invariants (eigenvectors) of the transition matrix of the system. The structure of the eigenspace of a given fuzzy matrix is considered for various max-T algebras, where T is some triangular norm (Gödel, ukasiewicz, product, drastic)....

Fuzzy soft set based decision making: a novel alternative approach

José Carlos R. Alcantud
We take advantage of a recent development in Social Choice in order to propose a new algorithm for the prioritization of objects characterized by fuzzy soft sets. It benefits from the performance of an endogenous scoring rule recently proposed by Herrero [1]. Our procedure constructs a “comparison matrix”...

Strong linearly independent vectors in semilinear spaces and their applications

Qian-yu Shu, Qing-quan Xiong
The aim of this contribution is to discuss the characterizations of L-semilinear spaces which are generated by strong linearly independent vectors. First, we show that the basis in L-semilinear spaces which are generated by strong linearly independent vectors is also strong linearly independent. Then...

Enhanced Fuzzy Systems for Type 2 Fuzzy and their Application in Dynamic System Identification

Shun-Feng Su, Ming-Chang Chen
The paper proposes a novel fuzzy system structure to enhance the performance of fuzzy neural network systems. The structure of enhanced fuzzy system (EFS) is to decompose each fuzzy variable into fuzzy subsystems called component fuzzy systems to act as type 2 fuzzy, and each component fuzzy system is...

N-contrapositivisation of fuzzy implication functions

Isabel Aguiló, Jaume Suñer, Joan Torrens
The law of contraposition with respect to a negation (usually strong) is one of the most studied properties in the theory of fuzzy implication functions. We already know some methods for modifying an implication with the aim that the new implication satisfies this property, these methods are called contrapositivisation....

Decompositions for the Kakwani poverty index

Oihana Aristondo, Mariateresa Ciommi
Since Sen’s seminal article in 1976, it is very known that every poverty measure should be sensitive to the three components of poverty: incidence, intensity and inequality. The paper concentrates on the poverty measure proposed by Kakwani. If the Kakwani index is normalized, an ordered weighted averaging...

Investor’s satisfaction in portfolio selection problem

Aleksandra Rutkowska
Empirical studies show that individual investors do not always behave rationally and do not use standard investment portfolio selection tasks. In this paper we focus on investor choices and the basic elements affecting them. The paper presents optimization model based on a measure of investor satisfaction....

A new density-based sampling algorithm

Frédéric Ros, Serge Guillaume
To face the big data challenge, sampling can be used as a preprocessing step for clustering. In this paper, an hybrid algorithm is proposed. It is density-based while managing distance concepts. The algorithm behavior is investigated using synthetic and realworld data sets. The first experiments proved...

Robustification of Self-Optimising Systems via Explicit Treatment of Uncertain Information

Jan H. Schoenke, Werner Brockmann
Uncertainty treatment in self-optimising systems touches two design-issues. Firstly, a valid estimation of uncertainties within the system is impossible beforehand as the uncertainties as well as the systems behaviour changes during run-time due to self-optimisation. Secondly, the design of a selfoptimising...

Interpretability improvement of fuzzy rule-based classifiers via rule compression

Andri Riid, Jürgo-Sören Preden
Rule-level feature selection, also termed as rule compression, is an important technique for improving interpretability of fuzzy rule-based classifiers. In this paper we present three different rule compression algorithms and analyze their performance and characteristics on the classifiers identified...

A new method of fuzzy patches construction in Neuro-Fuzzy for malware detection

Andrii Shalaginov, Katrin Franke
Soft Computing is being widely used in Information Security applications. Particularly, Neuro-Fuzzy approach provides a classification with humanunderstandable rules, yet the accuracy may not be sufficiently high. In this paper we seek for an optimal fuzzy patch configuration that uses elliptic fuzzy...

Finding Sets of Non-Dominated Solutions with High Spread and Well-Balanced Distribution using Generalized Strength Pareto Evolutionary Algorithm

Filip Rudzinski
The paper presents a generalization of the Strength Pareto Evolutionary Algorithm 2 (SPEA2) and its application in selected well-known two- and threeobjective optimization benchmark problems. The proposed solution is referred to as our SPEA3. The generalization consists in the exchange of the environmental...

Generalized SOMs with Splitting-Merging Tree-Like Structures for WWW-Document Clustering

Marian B. Gorzalczany, Filip Rudzinski, Jakub Piekoszewski
This paper presents our clustering technique based on generalized SOMs with evolving splittingmerging tree-like structures and its application to complex clustering problems including some benchmark data sets and, first of all, WWW-document clustering. Our approach that works in a fully unsupervised...

Learning possibilistic networks from data: a survey

Maroua Haddad, Philippe Leray, Nahla B. Amor
Possibilistic networks are important tools for modelling and reasoning, especially in the presence of imprecise and/or uncertain information. These graphical models have been successfully used in several real applications. Since their construction by experts is complex and time consuming, several researchers...

Fuzzy modelling of visual texture: coarseness, contrast and directionality properties

P.M. Martínez-Jiménez, Jesús Chamorro-Martínez, José M. Soto-Hidalgo
The analysis of the perceptual properties of texture plays a fundamental role in tasks like semantic description of images or content-based image retrieval using linguistic queries. In this paper, we propose to model these properties by means of fuzzy sets defined on the domain of some representative...

Normalized WDpWAM and WDpOWA spread measures

Marek Gagolewski
Aggregation theory often deals with measures of central tendency of quantitative data. As sometimes a different kind of information fusion is needed, an axiomatization of spread measures was introduced recently. In this contribution we explore the properties of WDpWAM and WDpOWA operators, which are...

Fuzzy Descriptors based on Color, Coarseness, Directionality and Contrast for Image Retrieval

José M. Soto-Hidalgo, Pedro Manuel Martínez-Jiménez, Jesus Chamorro-Martínez
In this paper the concept of fuzzy descriptor as a level-two fuzzy set to represent some visual features is proposed. In particular, a fuzzy descriptor based on the dominance of color and texture features is defined and applied to image retrieval. For this purpose, the color and texture are modelled...

’Only comparable’ T -transitive property and its closures for IVFRs

Ramón González-del-Campo, Luis Garmendia
In this paper a weaker kind of transitive property for interval-valued fuzzy relations (IVFRs) is introduced. It is called ’only comparable’ T-transitivity because it relaxes the need that all intervals must be comparable, by just the need of having T-transitive cycles only for comparable intervals....

Residual implications derived from uninorms satisfying Modus Ponens

Margarita Mas, Miquel Monserrat, Daniel Ruiz-Aguilera, Joan Torrens
Modus Ponens is a key property for fuzzy implication functions that are going to be used in fuzzy inference processes. In this paper it is investigated when fuzzy implication functions derived from uninorms via residuation, usually called RUimplications, satisfy the modus ponens with respect to a continuous...

Record linkage using fuzzy sets for detecting suspicious financial ransactions

Sezi Cevik Onar, Basar Öztaysi, Cengiz Kahraman
Identifying suspicious financial transactions and linking relevant records is an important data related problem. An appropriate identification may improve fraud detec-tion and international security. The main problems in this linking process are the missing data, errors in the entries or out of date...

Fuzzy Meta-Association Rules

M.Dolores Ruiz, Juan Gómez-Romero, M. José Martin-Bautista, M. Amparo Vila, Miguel Delgado
Association rules is a useful tool to extract new information from raw data expressed in a comprehensive way for decision makers. However, in some applications raw data might not be available for several reasons. First, stream data are only temporarily available for their processing or if it is stored,...

Present Worth Analysis Using Hesitant Fuzzy Sets

Cengiz Kahraman, Sezi Cevik Onar, Basar Öztaysi
Hesitant fuzzy sets are an extension of ordinary fuzzy sets. They are composed of dual hesitant fuzzy sets, interval valued hesitant fuzzy sets, generalized hesitant fuzzy sets, hesitant fuzzy linguistic term sets, and triangular fuzzy hesitant fuzzy sets. Multiexperts evaluations are integrated by aggregation...

A linear order and OWA operator for discrete gradual real numbers

Zdenko Taká
In this paper we introduce a class of linear orders for discrete gradual real numbers. Based on the linear orders we propose an OWA operator on the set of discrete gradual numbers and discuss some its properties. This is a first step of our intentions to introduce a class of linear orders, and consequently...

Study of the choice of the weighting measure φ on the φ-wabl/ldev/rdev median

Beatriz Sinova, María Teresa López
When summarizing the location of a random fuzzy number, some more robust approaches than the well-known Aumann-type mean have been proposed in the literature. Among them, the φ-wabl/ldev/rdev median extends the concept of median from the real-valued case. The characterization for fuzzy numbers and...

Interval Type-2 Fuzzy Maximum Power Point Tracking Control for Wind Power Buck Coversion Systems

Ching-Chih Tsai, Chun-Chien Chang, Chien-Cheng Yu, Feng-Chun Tai
This paper develops a PI-like interval type-2 (IT2) fuzzy maximum power point tracking (MPPT) control method for a class of wind power generation and battery charging systems with DC/DC buck converters. After the brief model descriptions of the wind power turbine, generator and DC/DC buck converter,...

Towards objective Bayesian foundations with fuzzy events

Pedro Terán
We present an axiomatic approach to conditional measures of fuzzy events which is inspired by the Dupré–Tipler argument for Bayesianism. Unlike there or in the older and related Cox argument, although we are able to derive additive probabilities other non-additive solutions exist. Our motivation is to...

Revisiting the formal foundation of Probabilistic Databases

Brend Wanders, Maurice Van Keulen
One of the core problems in soft computing is dealing with uncertainty in data. In this paper, we revisit the formal foundation of a class of probabilistic databases with the purpose to (1) obtain data model independence, (2) separate metadata on uncertainty and probabilities from the raw data, (3) better...

Understanding the Inference Mechanism of FURIA by means of Fingrams

David P. Pancho, José M. Alonso, Luis Magdalena
This paper shows the use of Fingrams –Fuzzy Inference-grams– aimed at unveiling graphically some hidden details in the usual behavior of the precise fuzzy modeling algorithm FURIA –Fuzzy Unordered Rule Induction Algorithm–. FURIA is recognized as one of the most outstanding fuzzy rule-based classification...

Interval Fuzzy Linear Programming Models to Solve Interval-valued Fuzzy Zero-Sum Games

Stephanie Loi Briao, Graçaliz Pereira Dimuro, Catia Maria Dos Santos Machado
In Game theory, there are situations in which it is very difficult to characterize the private information of each player. In this case, the payoffs can be given by approximate values, represented by fuzzy numbers. Whenever there is uncertainty in the modeling of those fuzzy numbers, interval fuzzy numbers...

Evidential likelihood flatness as a way tomeasure data quality: the multinomial case

Liyao Ma, Sébastien Destercke, Yong Wang
Likelihood functions, as well as the more recent concept of evidential likelihood, are essential statistical tools to perform estimation. Beyond the maximal likelihood value, the shape of the likelihood can also give interesting information about the data used to get the estimation. Indeed, it is generally...

An Enhanced HMM-Based for Fuzzy Time Series Forecasting Model

Yi-Chung Cheng, Pei-Chih Chen, Chih-Chuan Chen, Hui-Chi Chuang, Sheng-Tun Li
The fast and accurate forecasting thod can help mak-ers to make appropriate strategy. Zadeh was given the efinition of a fuzzy set in 1965. Song and Chissom proposed the definition and the forecasting framework of fuzzy time series in 1993. Sullivan and Woodall first proposed the forecasting method to...

Algorithm for simultaneous defuzzification under constraints: shifted mean-max

Jörg Verstraete
In this article, we present an algorithm for defuzzifying multiple fuzzy sets simultaneously, where the defuzzified values are bound by a constraint. The algorithm aims at maximizing the lowest membership grade of the defuzzified values in each fuzzy set, while satisfying the constraint. In the examples,...

On a new poverty measure constructed from the exponential mean

Silvia Bortot, Ricardo Alberto Marques-Pereira
We propose a poverty measure based on a non trivial balance between the aggregated value of the income gaps of the poor and the headcount ratio of the poor in the population. The new poverty measure extends a previous proposal also based on the exponential mean but with an exclusive focus on the poor...

On Perception-based Logical Deduction and Its Variants

Martin Stepnicka, Antonín Dvorák
We present and analyze inference method called Perception-based Logical Deduction (PbLD) aimed at the treatment of fuzzy IF-THEN rules as linguistically expressed genuine logical implications. Besides the original PbLD, we propose a new balancing variant of PbLD, introduce both variants with fuzzy inputs...