Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

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126 articles

Type-2 aggregation operators

Zdenko Takác
The paper deals with an extension of aggregation operators from the set of real numbers (or interval [0, 1]) to the set of fuzzy truth values (fuzzy sets in [0, 1]). We define so-called type-2 aggregation operator and show that an extension of ordinary aggregation operator by convolution is a type-2...

Use of the GAI model in multi-criteria decision making: inconsistency handling, interpretation

Christophe Labreuche, Michel Grabisch
This paper is devoted to the use of the GAI (Generalized Additive) model in a Multi-Criteria Decision Making context. We first discuss on some new conditions (concerning the sign and monotonicity) to add on the terms appearing in a GAI model. Secondly, we propose some algorithms to propose the learning...

Sample-based XPath Ranking for Web Information Extraction

Oliver Jundt, Maurice Van Keulen
Web information extraction typically relies on a wrapper, i.e., program code or a configuration that specifies how to extract information for certain fields for a specific website. Manually creating and maintaining wrappers for all target websites is a cumbersome and error-prone task. It may even be...

Constructing non-functionally expressible fuzzy implications

Sebastià Massanet, Gaspar Mayor, Joan Torrens
This article discusses a new method for the construction of non-functionally expressible fuzzy implications. In a recent work, we have considered non-functionally expressible fuzzy implications from an implication function acting on the inputs followed by an aggregation process. Now, we first perform...

First-order EQ-logic

Martin Dyba, Vilém Novák
This paper represents the third step in the development of EQ-logics. Namely, after developing propositional and higher-order EQ-logics, we focus also on predicate one. First, we give a brief overview of the propositional EQ-logic and then develop syntax and semantics of predicate EQ-logic. Finally,...

Coimplications in the set of discrete fuzzy numbers

Juan Vicente Riera, Joan Torrens
Given a coimplication function $J$ defined on the finite chain $L_n={0,...,n}$, a method for extending $J$ to the set of discrete fuzzy numbers whose support is an interval contained in $L_n$ (denoted by ${cal A}_1^{L_n}$) is given. The resulting extension is in fact a fuzzy coimplication on ${cal A}_1^{L_n}$...

A fuzzy extension of explanatory relations based on mathematical morphology

Jamal Atif, Isabelle Bloch, Felix Distel, Hudelot Celine
In this paper, we build upon previous work defining explanatory relations based on mathematical morphology operators on logical formulas in propositional logics. We propose to extend such relations to the case where the set of models of a formula is fuzzy, as a first step towards morphological fuzzy...

An analytical approach to evaluating monotonic functions of fuzzy numbers

Arthur Seibel, Josef Schlattmann
This paper presents a practical analytical approach to evaluating continuous, monotonic functions of independent fuzzy numbers. The approach is based on a parametric -cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.

Qualitative integrals and desintegrals as lower and upper possibilistic expectations

Didier Dubois, Henri Prade, Agnès Rico
Any capacity (i.e., an increasing set function) has been proved to be a lower possibility measure and an upper necessity measure. Similarly, it is shown that any anti-capacity (i.e., a decreasing set function) can be viewed both as an upper guaranteed possibility measure and as a lower weak necessity...

On various forms of bipolarity in flexible querying

Didier Dubois, Henri Prade
The paper discusses the modeling of ''if possible" in requirements of the form ''A and if possible B". We distinguish between two types of understanding: either i) A and B are requirements of the same nature and are viewed as constraints with different levels of priority, or ii) they are of different...

Reflections on the teaching of Fuzzy Logic

Itziar García-Honrado
In this paper, it is done a reflection on the importance of popularizing Fuzzy Logic in Basic Education. Some clues for introducing few basic ideas in schools and high schools are shown. The relation between Fuzzy Logic and many different fields is also indicate.

A new fuzzy reasoning method based on the use of the Choquet integral

José Antonio Sanz Delgado, Carlos Lopez-Molina, Juan Cerrón, Radko Mesiar, Humberto Bustince
In this work we use the Choquet integral as an aggregation function and we apply it in the fuzzy reasoning method of fuzzy rule-based classification systems. We study the behaviour of several fuzzy measures and we propose a genetic learning method of an appropriate fuzzy measure to model the interaction...

Towards fuzzy linguistic Markov chains

Pablo Villacorta, Jose_Luis Verdegay, David Pelta
In this contribution we deal with the problem of doing computations with a Markov chain when the information about transition probabilities is expressed linguistically. This could be the case, for instance, if the process we are modeling is described by a human expert, for whom the use of linguistic...

A possibilistic graphical model for handling decision problems under uncertainty

Salem Benferhat, Faiza Khellaf, Ismahane Zeddigha
Possibilistic networks are important and efficient tools for reasoning under uncertainty. This paper proposes a new graphical model for decision making under uncertainty based on possibilistic networks. In possibilistic decision problems under uncertainty, available knowledge are expressed by means of...

A study on Fuzzy Cognitive Map structures for Medical Decision Support Systems

Evangelia Bourgani, Chrysostomos Stylios, Voula Georgopoulos, George Manis
This study examines and compares different Fuzzy Cognitive Map structures that researchers have pro-posed for developing Medical Decision Support Sys-tems. Fuzzy Cognitive Map is a soft computing tech-nique that have gained a good reputation in the last decade and it has been used successfully in different...

On functions that solve Mulholland inequality and on compositions of such functions

Milan Petrík
Two results related to Mulholland inequality are presented. First, there are functions that are not geo-convex but solve Mulholland inequality; thus Mulholland's condition is not necessary. Second, the set of functions that solve Mulholland inequality is not closed with respect to compositions. As a...

F^1-transform of Functions of Two Variables

Petra Hodakova, Irina Perfilieva
In this contribution, the F^1-transform of functions of two variables is introduced. It combines properties of the F-transform of functions of two variables and the F^1-transform of functions of one variable. The aim of this study is to prove approximation properties of the F^1-transform components and...

A Multi-Expert Fuzzy TOPSIS-based Model for the Evaluation of e-Learning Paths

Mario Fedrizzi, Andrea Molinari
In e-learning settings, the evaluation of different alternatives regarding learning paths’ proposal is nowadays crucial, due to the great attention devoted to the construction of learning objects (LO) available through Learning Management Systems (LMS). In this paper, we present a model devoted to support...

Biconic semi-copulas with a given section

Tarad Jwaid, Bernard De Baets, Hans De Meyer, Radko Mesiar
Inspired by the notion of biconic semi-copulas, we introduce biconic semi-copulas with a given section. Such semi-copulas are constructed by linear interpolation on segments connecting the graph of a continuous and decreasing function to the points (0,0) and (1,1). Special classes of biconic semi-copulas...

Generalizing Precisiated Natural Language: A Formal Logic as a Precisiation Language

Takehiko Nakama, Enrique Muñoz, Enrique Ruspini
We generalize precisiated natrual language by establishing a formal logic as a generalized precisiation language. In this formal logic, each proposition has a syntactic structure observed in natural language. Various syntactic structures are incorporated in the formal logic so that it precisiates not...

On Applying Random Oracles to Fuzzy Rule-Based Classifier Ensembles for High Complexity Datasets

Krzysztof Trawinski, Oscar Cordon, Arnaud Quirin
Fuzzy rule-based systems suffer from the so-called curse of dimensionality when applied to high com- plexity datasets, which consist of a large number of variables and/or examples. Fuzzy rule-based clas- sifier ensembles have shown to be a good approach to deal with this kind of problems. In this contri-...

Prototype Construction for Clustering of Point Processes based on Imprecise Synchrony

Christian Borgelt, Christian Braune
We consider the task to cluster realizations of point processes, that is, lists of points in time. Our guiding principle is that two such lists are the more similar, the more (approximately) synchronous points they contain. This task occurs in the analysis of parallel spike trains in neurobiology, where...

About Relation between the Measure of Conflict and Decreasing of Ignorance in Theory of Evidence

Alexander Lepskiy
The conflict measure and index of decreasing of igno-rance in frame of Dempster-Shafer theory are intro-duced. Those functionals are analyzed on the bodies of evidences of special type. It is shown that the great correlation between the bodies of evidence is a sufficient condition of decreasing of ignorance...

A new integrated group decision making framework with linguistic interval fuzzy preference relations

Gulcin Buyukozkan, Sezin Güleryüz
The high complexity of socioeconomic environments often makes it difficult for a single decision maker (DM) to consider all the important aspects of some de-cision problems. Therefore, a group decision making (GDM) process is often preferred by the organizations. Moreover, during the decision process,...

Interpretability analysis of fuzzy association rules supported by fingrams

David P. Pancho, Jose M. Alonso, Jesús Alcalá-Fdez, Luis Magdalena
This work extends fuzzy inference-grams (fingrams) to fuzzy association rules (FAR), yielding FARFingrams. Their analysis pays attention to interpretability issues. An important open problem in association rule mining is the huge number of frequent itemsets and interesting rules to discover and communicate...

On minimal requirements to obtain fuzzy concept-forming operators

Juan Carlos Díaz, Jesús Medina-Moreno, Manuel Ojeda-Aciego
In this work, we introduce sufficient and necessary conditions for a pair of fuzzy conjunctor and implication considered in a multi-adjoint frame under which the usual combinations of multi-adjoint sufficiency, possibility and necessity operators form either antitone or isotone Galois connections.