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

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126 articles

On a Graded Inclusion of Bipolar Fuzzy Relations

Ludovic Liétard, Olivier Pivert, Daniel Rocacher
This paper deals with database fuzzy queries in the context where the fuzzy preference conditions involved are of a bipolar nature (the first pole corresponding to a constraint, the second to a wish). More precisely, we consider queries where an inclusion-based condition comes into play (a typical example...

Applications of Categorical Fixed-basis Fuzzy Topological Spaces to A-valued Spaces

Mustafa Demirci
As an application of the dual equivalence between the category of L-spatial C-objects and the category of L-sober C-M-L-spaces, it is shown in this paper that for a fixed augmented partially ordered set A, there exists a dual equivalence between the category of A-spatial augmented partially ordered sets...

Ensembled Self-Adaptive Fuzzy Calibration Models for On-line Cloud Point Prediction

Carlos Cernuda, Edwin Lughofer, Peter Hintenaus, Wolfgang Märzinger, Thomas Reischer, Marcin Pawlicek, Jürgen Kasberger
In this paper we investigate the usage of non-linear chemometric models, which are calibrated based on near infrared (FTNIR) spectra, in order to increase efficiency and to improve quantification quality in melamine resin production. They rely on fuzzy systems model architecture and are able to {incrementally...

Data Reconciliation under Fuzzy Constraints in Material Flow Analysis

Didier Dubois, Hélène Fargier, Dominique Guyonnet
Data reconciliation consists in modifying noisy or unreliable data in order to satisfy a mathematical model (herein a material flow network). The conventional approach relies on least squares minimization. Here we show that the setting of fuzzy sets provides a generalized approach that is more flexible...

Distance calculation between Level-2 fuzzy regions

Jörg Verstraete
In many applications, spatial data is often prone to uncertainty and imprecision. To model this, fuzzy regions have been developed. Our initial model was a fuzzy set over a two dimensional domain, allowing for fuzzy regions and fuzzy points to be modelled. The model had some limitations: all points where...

F-transform and Fuzzy Natural logic in Time Series Analysis

Vilem Novak, Viktor Pavliska, Irina Perfilieva, Martin Stepnicka
This paper continues development of the innovative method of time series analysis and forecasting using special soft-computing techniques: fuzzy transform and Fuzzy Natural Logic. We will demonstrate that the F-transform is a proper technique for extraction of the trend-cycle of time series. Furthermore,...

Tomonoid extensions: the key for the construction of t-norms

Thomas Vetterlein
Triangular norms, or t-norms for short, play an important role for the semantics of fuzzy logics. Although an enormous number of examples and a remarkable number of construction methods for this kind of operation has been established, a uniform approach is still outstanding. This paper is devoted to...

A Note on Fuzzy Soft Topological Spaces

Vildan Cetkin, Halis Aygun
The main aim of this paper is to give a characterization of FSTOP, the category of fuzzy soft topological spaces and its continuous mappings. For this reason, we construct the category of antichain soft topological spaces and its continuous mappings, denoted ASTOP, and show that FSTOP is isomorphic to...

Determination of regional variants in the versification of Estonian folksongs using an interpretable fuzzy rule-based classifier

Andri Riid, Mari Sarv
In this paper, a method of hierarchical clustering and a selection of fuzzy classification algorithms are applied successively to the data set that contains measured characteristics of folk verses collected from 104 historical parishes of Estonia. The aim of the study is to detect the groups of parishes...

Fuzzification of probabilistic objects

Martin Papco
A categorical approach to probability allows to put basic notions of probability into a broader mathematical perspective, to evaluate their roles, and mutual relationships. Classical probability theory and fuzzy probability theory lead to two particular categories and their relationship (in categorical...

A Stochastic Model for Analyzing the Interpretability-Accuracy Trade-off in Interpretable Fuzzy Systems Using Nested Hyperball Structures

Balázs Krisztián, Koczy Laszlo T.
Our recent work proposed a new meaning preservation approach together with a parameterizable nested hyperball structured search space for interpretable fuzzy systems in order to solve a problem of inconsistency observed in conventional interpretablefuzzy knowledge bases and simultaneously to address...

Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory

Glad Deschrijver
The n-dimensional fuzzy sets have been introduced as a generalization of interval-valued fuzzy sets, Atanassov's intuitionistic and interval-valued intuitionistic fuzzy sets. In this paper we investigate t-norms on 3-dimensional sets which are join-morphisms. Under some additional conditions we show...

Holistic Preference Learning with the Choquet Integral

Bénédicte Goujon, Christophe Labreuche
The current approaches to construct a multi-criteria model based on a Choquet integral are split into two separate steps: construct first the utility functions and then the aggregation function. Unfortunately, the decision maker may feel some difficulties in addressing these tricky steps. In this paper,...

A Genetic Tuned Fuzzy Classifier Based on Prototypes

Enrique Leyva, Antonio González, Raúl Pérez
It is known that main drawbacks of KNN classifier are related to the need for keeping all the training prototypes. Although there are several approaches capable to significantly reduce the size of the case base, they damage the classification accuracy. We propose a novel fuzzy approach capable to significantly...

Introducing Floating Singletons with an example application in clinic spirometry

Luis Arguelles Mendez
Fuzzy-logic models where singletons are placed in the consequents of rules of the type if x is Ai and y is Bj then zi = si are used nowadays in many soft computing applications. In this work we introduce the concept of floating singletons where their precise location on the real axis is only known at...

Reflections on a Fuzzy Logic of Scientific Discovery and Fuzzy Structures of Scientific Revolutions

Rudolf Seising
Popper’s Logic of Scientific Discovery and Kuhn’s Structures of Scientific Revolutions are enormous important concepts on theories and their dynamic in 20th century history and philosophy of science. However, the works of the two have been criticized in the last half century and new views on theory nets...

Exploring Paraconsistency in Degree-Preserving Fuzzy Logics

Rodolfo Ertola, Francesc Esteva, Tommaso Flaminio, Lluis Godo, Carles Noguera
Paraconsistent logics are specially tailored to deal with inconsistency, while fuzzy logics primarily deal with graded truth and vagueness. In the last decade, mathematical fuzzy logic has been developed as a discipline studying formal many-valued systems underlying fuzzy logic in narrow sense. In this...

Irreducible elements in multi-adjoint concept lattices

Jesús Medina-Moreno, Maria Eugenia Cornejo, Eloisa Ramírez
The irreducible elements in a lattice are very important. For example, when the lattice is finite, which is the usual in the computational case, they form a base from which the complete lattice is obtained. These elements are also important in Formal Concept Analysis, since they are the basic information...

The incidence relation of an L-Fuzzy Context as structuring element in Fuzzy Mathematical Morphology

Cristina Alcalde, Ana Burusco, Ramon Fuentes-Gonzalez
The goal of this work is to prove a link between the Fuzzy Mathematical Morphology and the L-fuzzy Concept Analysis when we are using structuring relations which represent the effect that we want to produce over an initial fuzzy image or signal. In this case, we prove that the problem of obtaining the...

Reasons for a careful design of fuzzy sets

Enric Trillas, Claudio Moraga
This paper is, basically, a reflection on modeling, starting by asking what happens when the meaning of a predicate P is interpreted by the membership function of a fuzzy set that, labeled P, is designed with the information available to the designer on the use of the predicate in the corresponding universe...

Towards recommender systems based on a fuzzy preference aggregation

Samia Boulkrinat, Allel Hadjali, Aicha Mokhtari
An approach to deal with user preference relations, instead of absolute ratings, in recommender systems is discussed. User’s preferences are then ratings expressed qualitatively by using linguistic terms. This is a suitable technique when preferences are imprecise and vague. On the other hand, to avoid...

A fuzzy tri-level decision making algorithm and its application in supply chain

Zhen Zhang, Guangquan Zhang, Jie Lu, Chonghui Guo
In this paper, we develop a fuzzy tri-level decision making (FTLDM) model to deal with decentralized decision making problems with three levels of decision makers. Based on the -cut of fuzzy set, we transform an FTLDM problem into a multi-objective multi-follower tri-level decision making problem. Based...

On power stable quasi-copulas

Anna Kolesárová, Radko Mesiar
In our contribution we discuss the power stability of 1-Lipschitz binary aggregation functions. The main result is the characterization of power stable quasi-copulas by means of their dependence functions. The notions are illustrated by examples.

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...

About t-norms on type-2 fuzzy sets

Pablo Hernández, Susana Cubillo, Carmen Torres
Walker et al. ([19], [20]) defined two families of binary operations on M (set of functions of [0,1] in [0,1]), and they determined that, under certain conditions, those operations are t-norms (triangular norm) or t-conorms on L (all the normal and convex functions of M). We define binary operations...

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...

Shape Retrieval by Partially Supervised Fuzzy Clustering

Giovanna Castellano, Anna Maria Fanelli, Maria Alessandra Torsello
In this work we propose the use of partially supervised fuzzy clustering to create a two-level indexing structure useful for enabling efficient shape retrieval. Similar shapes are grouped by a fuzzy clustering algorithm that embeds a partial supervision mechanism exploiting domain knowledge expressed...

A fuzzy methodology to alleviate information overload in eLearning

Fabio Aurelio D'Asaro, Valerio Perticone, Marco Elio Tabacchi
Some aspects of eLearning experience can be enhanced in a very natural way by using the basic tools offered by fuzzy logic. As a matter of example, consider the uncontrolled growth of information produced in a collaborative-oriented context, in which each participant (e.g. students, teachers) is able...

Theory of Computation, Fuzziness and a physics of the immaterial

Marco_Elio Tabacchi, Settimo Termini
In this paper we advance three clear-cut proposals as a contribution to the discussion on the role of Theory of Computation and Fuzziness as a bridge between Hard and Soft Sciences. We suggest that an important difference between the two great families of science lies in their subject or research having...

Using a Linguistic Scorecard for Peer-Assessment Through an On-Line System

Pasi Luukka, Mikael Collan
Peer-assessment is a way to include evaluation as a part of the learning process and simultaneously to cut teacher load in grading of assignments. eLearning systems can be used to automate peer-assessment to a large extent. Peer-assessment benefits from multiple-peer-assessment as it is likely to even-out...

Evaluation and interval approximation of fuzzy quantities

Luca Anzilli, Gisella Facchinetti, Giovanni Mastroleo
In this paper we present a general framework to face the problem of evaluate fuzzy quantities. A fuzzy quantity is a fuzzy set that may be non normal and/or non convex. This new formulation contains as particular cases the ones proposed by Fortemps and Roubens (1996), Yager and Filev (1981,1999) and...

Fuzzy implications satisfying convexity relations

Mirko Navara
It is an open question whether a non-trivial convex combination of triangular norms (resp. conorms) can be a triangular norm (resp. conorm). We investigate the analogous question for S-implications and R-implications.

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 fixed-shape fuzzy median of a fuzzy sample

Adrian Ban, Lucian Coroianu, Przemyslaw Grzegorzewski
Since fuzzy numbers are not linearly ordered a median of a fuzzy sample cannot be determined directly as it happens with crisp observations. Even the very notion of a median of a fuzzy sample is not well established. Therefore we propose some definitions of the fixed-shape fuzzy median of a fuzzy sample...

Priestley duality for N4-lattices

Ramon Jansana, Umberto Rivieccio
We present a new Priestley-style topological duality for N4-lattices, which are the algebraic counterpart of paraconsistent Nelson logic. Our duality differs from the existing one, due to Odintsov, in that we only rely on Esakia duality for Heyting algebras and not on the duality for De Morgan algebras...

Optimum Allocation of Centers in Transportation Networks by Means of Fuzzy Graph Bases

Leonid Bershtein, Alexandr Bozhenyuk, Igor Rozenberg
In this paper the questions of defining the optimum allocation of centers in fuzzy transportation networks are observed by the minimax criterion. It is supposed that the information received from the geographical information system is presented as a fuzzy graph. In this case the task of defining optimum...

Forecasting Exchange Rates with Fuzzy Granular Evolving Modeling for Trading Strategies

Leandro Maciel, Fernando Gomide, Rosangela Ballini
This paper addresses a fuzzy set based evolving modeling (FBeM) approach and the task of forecasting exchange rates in order to perform trading strategies. FBeM is a granular computing technique that uses fuzzy information granules to model nonstationary functions providing functional and linguistic...

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...

The analysis of the generalized square of opposition

Petra Murinová, Vilém Novák
In this paper, we continue development of a formal theory of intermediate quantifiers (linguistic expressions such as ``most'', ``many'', ``few'', ``almost all'', etc.). In previous work, we demonstrated that 105 generalized syllogisms are valid in our theory. We turn our attention to another problem...

Fuzzy preference modelling and some consequences for fuzzy implications and quasi-copulas

Dana Hlin ná, Martin Kalina, Pavol Krá
In this paper we study connection between quasi-copulas and generator triples of a fuzzy preference structures. We study also conditions under which fuzzy implications can be used to construct generator triples. As we show, an important property of fuzzy implications that enables us to construct a generator...

Distance to bipolar information from morphological dilation

Isabelle Bloch, Jamal Atif
In this paper we propose definitions of distances to bipolar information. This notion is important to find a solution that matches bipolar queries, to exhibit recommendations satisfying preferences of an agent while respecting her constraints, to find an agreement between several agents. All these situations...

Constructing implication functions from fuzzy negations

Aguiló Isabel, Suñer Jaume, Torrens Joan
A class of implication functions is constructed from fuzzy negations. The interest of this new class lies in its simplicity and in the fact that when $N$ is Id-symmetrical, the corresponding implication agrees with the residuum of a commutative semicopula.

Flexible Querying of Volunteered Geographic Information for Risk Management

Paolo Arcaini, Gloria Bordogna, Simone Sterlacchini
The paper presents an approach to manage Volunteered Geographic Information (VGI) to point out anomalous conditions of the environment. This can help administrators in charge of the governance and maintenance activities of the territory to plan mitigation and safeguard interventions. To this end, a system...

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.

Convex combination of grouping functions for image thresholding. Selection of weighting vectors

Aranzazu Jurio, Miguel Pagola, Daniel Paternain, Nicolas Madrid, Humberto Bustince
In this work we present a thresholding algorithm for greyscale images. Our proposal is based on the use of grouping functions to find the best threshold. These functions are able to measure the membership of a grey intensity to the background or to the object of the image, so the best threshold is the...

On Different Types of Heterogeneous Formal Contexts

Ubomír Antoni, Stanislav Krajči, Ondrej Krídlo
We provide a generalization of another fuzzy formal contexts of Formal Concept Analysis that works with different types of the values in a context. An appropriate counterpart to the so-called basic theorem of concept lattice is formulated. We suggest the process of transformation of heterogeneous formal...

Efficient energy dispatching in smart microgrids using an integration of fuzzy AHP and TOPSIS assisted by linear programming

Beatrice Lazzerini, Francesco Pistolesi
Energy dispatching in smart (micro)grids must take into account more conflicting objectives (or criteria), such as power reliability and quality, proper handling of the electricity demand, and cost decrease. The choice of the best alternative in energy dispatching decisions can be dealt with as a multi-criteria...