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Gaudí, geométricamente
(Real Sociedad Matemática Española, 2002-09)
Article
Restricted access - publisher's policyEn el 2002 celebramos el 150 aniversario del nacimiento de nuestro arquitecto más universal: Antoni Gaudí Cornet (1852-1926). Nuestro objetivo aquí es mostrar como la visión gaudiniana de la geometría es el resultado de ... -
A geometrical approach to aggregation
(2007-12)
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 one-parametric family of curves, the differential equation y0 = f(x; y) having F as general ... -
Permutable fuzzy consequence and interior operators and their connection with fuzzy relations
(2015-07-20)
Article
Open AccessFuzzy operators are an essential tool in many fields and the operation of composition is often needed. In general, composition is not a commutative operation. However, it is very useful to have operators for which the order ... -
Transitive closure of interval-valued fuzzy relations
(2013-07)
Article
Open AccessIn this paper are introduced some concepts of interval-valued fuzzy relations and some of their properties: reflexivity, symmetry, T-transitivity, composition and local reflexivity. The existence and uniqueness of T-transitive ... -
On the Induction of New Fuzzy Relations, New Fuzzy Operators and Their Aggregation
(Springer, 2013)
Article
Open AccessIn this paper we generate fuzzy relations and fuzzy operators using different kind of generators and we study the relationship between them. Firstly, we introduce a new fuzzy preorder induced by a fuzzy operator. We ... -
Permutability of fuzzy consequence operators and fuzzy interior operators
(2013)
Article
Restricted access - publisher's policyIn this paper we study the permutability of the composition of fuzzy consequence operators (fuzzy closings) and fuzzy interior operators (fuzzy openings). We establish several characterizations and we show the relation of ... -
Aggregation operators and quadric hypersurfaces
(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. -
Comparison of different algorithms of approximation by extensional fuzzy subsets
(Springer, 2013)
Article
Open AccessHow to approximate an arbitrary fuzzy subset by an adequate extensional one is a key question within the theory of Extensional Fuzzy Subsets. In a recent paper by the authors [19] different methods were provided to find ... -
Structural analysis of indistinguishability operators and related concepts
(2013-06-20)
Article
Restricted access - publisher's policyGiven an indistinguishability operator E, it is possible to obtain the set of extensional fuzzy subsets HEHE and the respective operators of upper and lower approximations by extensional sets ¿E¿E and ¿E¿E. Reciprocally, ... -
Searching for meaning on defuzzification
(1999-10)
Article
Restricted access - publisher's policyDefuzzification is an essential problem in fuzzy systems that it is always solved in a heuristic way. The aim of this work is to give a semantic interpretation to this process with the help of indistinguishability operators -
Upper and Lower Approximations of Fuzzy Sets
(2000-09)
Article
Restricted access - publisher's policyThe upper and lower approximations of a fuzzy subset with respect to an indistinguish-ability operator are studied. Their relations with fuzzy rough sets are also investigated -
The Length and Betweenness Relations of Indistinguishability Operators
(1999-06)
Article
Restricted access - publisher's policyThe most common ways used to generate indistinguishability operators, namely as transitive closure of reexive and symmetric fuzzy relation, via the Representation Theorem and as decomposable relations, is related for ...
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