Browsing by Author "Recasens Ferrés, Jorge"
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A Decomposition Theorem for TIndistinguishability Operators : the Continuous Strict Archimedean Case
Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge (2012)
Conference report
Open Access 
A geometrical approach to aggregation
Recasens Ferrés, Jorge (200712)
Article
Restricted access  publisher's policyConsidering the family F of contour curves F = fh(x; y) = k) of an (idempotent) aggregation operator h in two variables as a oneparametric family of curves, the differential equation y0 = f(x; y) having F as general ... 
A map characterizing the fuzzy points and columns of a Tindistinguishability operator
Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge (200510)
Article
Open AccessA new map (ΛE) between fuzzy subsets of a universe X endowed with a Tindistinguishability operator E is introduced. The main feature of ΛE is that it has the columns of E as fixed points, and thus it provides us with a ... 
A model for CAGD using fuzzy logic
Jacas Moral, Juan; Monreal Pujadas, Amadeo; Recasens Ferrés, Jorge (199701)
Article
Restricted access  publisher's policyThis paper presents a first approach to a system based on fuzzy logic for the design of curves and surfaces in the context of computer aided geometric design. Bézier curves and surfaces can be seen as particular cases of ... 
A reformulation of entropy in the presence of indistinguishability operators
Recasens Ferrés, Jorge; Hernández, E (200206)
Article
Restricted access  publisher's policyThis paper deals with the measurement of entropy when an indistinguishability relation on the set of events has been defined. Our approach states that entropy could be measured in terms of the observed distinguishability ... 
Acciones de grupos borrosas
Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge (2016)
Conference report
Open AccessEste trabajo generaliza (fuzzifica) las acciones de un grupo sobre un conjunto para tratar situaciones donde hay imprecisión e incertidumbre. Las acciones borrosas pueden tratar la granularidad de un conjunto o incluso ... 
Aggregating fuzzy subgroups and Tvague groups
Boixader Ibáñez, Dionís; Mayor, Gaspar; Recasens Ferrés, Jorge (Springer, 20180101)
Article
Open AccessFuzzy subgroups and Tvague groups are interesting fuzzy algebraic structures that have been widely studied. While fuzzy subgroups fuzzify the concept of crisp subgroup, Tvague groups can be identified with quotient groups ... 
Aggregating Fuzzy Subgroups and Tvague subgroups
Boixader Ibáñez, Dionís; Mayor, Gaspar; Recasens Ferrés, Jorge (Springer, 2017)
Conference report
Open Access 
Aggregating Tequivalence relations
Mayor, Gaspar; Recasens Ferrés, Jorge (2016)
Conference report
Open AccessThis contribution deals with the problem of aggregating Tequivalence relations, in the sense that we are looking for functions that preserve reflexivity, symmetry, and transitivity with respect to a given tnorm T. We ... 
Aggregation of Ttransitive Relations
Jacas Moral, Juan; Recasens Ferrés, Jorge (Wiley InterScience, 200312)
Article
Restricted access  publisher's policyThis article studies the aggregation of transitive fuzzy relations. We first find operators that preserve transitivity and then extend the results to aggregating operators. As special cases, means and some kind of suitable ... 
Aggregation operators and lipschitzian conditions
Recasens Ferrés, Jorge (Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2008)
Article
Open AccessLipschitzian aggregation operators with respect to the natural T  indistin guishability operator Et and their powers, and with respect to the residuation ! T with respect to a tnorm T and its powers are studied. A ... 
Aggregation operators and quadric hypersurfaces
Recasens Ferrés, Jorge (Springer, 2013)
Article
Open AccessAggregation operators that are quadric hypersurfaces are studied. The interest lays in the fact that the most popular aggregation operators are indeed quadric hypersurfaces. 
Aggregation operators and ruled surfaces
Recasens Ferrés, Jorge (IOS Press, 2008)
Conference report
Open Access 
Aggregation operators and the Lipschitzian condition
Jacas Moral, Juan; Recasens Ferrés, Jorge (IEEE Comp. Int. Soc., 2007)
Conference report
Open AccessLipschitzian and kernel aggregation operators with respect to the natural Tindistinguishability operator ET and their powers are studied. A tnorm T is proved to be ETLipschitzian, and is interpreted as a fuzzy point and ... 
Aggregation Operators Based on Indistinguishability Operators
Jacas Moral, Juan; Recasens Ferrés, Jorge (Wiley InterScience, 200608)
Article
Restricted access  publisher's policyThis article gives a new approach to aggregating assuming that there is an indistinguishability operator or similarity defined on the universe of discourse. The very simple idea is that when we want to aggregate two values ... 
An algorithm to compute the transitive closure, a transitive approximation and a transitive opening of a fuzzy proximity
Garmendia Salvador, Luis; González del Campo, Ramón; López, Victoria; Recasens Ferrés, Jorge (200911)
Article
Open AccessA method to compute the transitive closure, a transitive opening and a transitive approximation of a reflexive and symmetric fuzzy relation is given. Other previous methods in literature compute just the transitive closure, ... 
An algorithm to compute the transitive closure, a transitive approximation and a transitive opening of a proximity
Garmendia Salvador, Luis; González, Ramón; Recasens Ferrés, Jorge (2008)
Conference report
Open AccessA method to get the transitive closure, a transitive opening and a transitive approximation of a reflexive and symmetric fuzzy relation is presented. The method builds at the same time a binary partition tree for the output ... 
Approximate fuzzy preorders and equivalences
Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge (2009)
Conference report
Restricted access  publisher's policyAlthough Fuzzy Preorders and Fuzzy Equivalences are well established types of fuzzy relations, they are defined in terms of properties to be fulfilled in a crisp way. In this paper we relax those requirements by making ... 
Approximating arbitrary fuzzy subsets by extensional ones
Mattioli Aramburu, Gabriel; Recasens Ferrés, Jorge (20150601)
Article
Open AccessAn interesting problem within the theory of indistinguishability operators is how to approximate an arbitrary fuzzy subset by a similar extensional one. In this paper, we aim to solve this question and provide three methods ... 
Approximating fuzzy preorders and equivalences. A similarity based approach
Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge (IEEE Computer Society Publications, 2010)
Conference report
Open Access