Intuitionistic fuzzy interior ideals of semigroups.
Intuitionistic fuzzy relations (Part I).
This paper introduces the concept of intuitionistic fuzzy relation. We also study the choice of t-norms and t-conorms which must be done in order that the composition of intuitionistic fuzzy relations fulfils the largest number of properties. On the other hand, we also analyse the intuitionistic fuzzy relations in a set and their properties. Besides, we also study the properties of the intuitionistic fuzzy relations in a set and the properties of the composition with different t-norms and t-conorms....
Intuitionistic fuzzy relations (Part II). Effect of Atanassov's operators on the properties of the intuitionistic fuzzy relations.
In this paper we study the effect of Atanassov's operator on the properties of properties reflexive, symmetric, antisymmetric, perfect antisymmetric and transitive intuitionistic fuzzy relations. We finish the paper analysing the partial enclosure of the intuitionistic fuzzy relations and its effect on the conservation of the transitive property through Atanassov's operator.
Intuitionistic -fuzzy relations.
Invariant copulas
Involutions in fuzzy set theory.
All possible involutions in fuzzy set theory are completely described. Any involution is a composition of a symmetry on a universe of fuzzy sets and an involution on a truth set.
Juegos no cooperativos con preferencias difusas.
El objetivo de este trabajo es el estudio de los juegos no cooperativos en los que los jugadores expresan sus preferencias sobre las consecuencias que se derivan de sus acciones mediante relaciones binarias difusas. El concepto de solución que se maneja es el de estrategias en equilibrio. La existencia de tales estrategias queda probada en el caso de que los jugadores definan sus preferencias sobre las consecuencias aleatorias mediante la extensión lineal introducida en Montero-Tejada (1986a).
Large variable systems of higher degrees in fuzzification process. Fuzzification of systems for technical and medical practice. II
Lattice valued algebras.
In this paper we propose a general approach to the theory of fuzzy algebras, while the early existing papers deal with a particular type of fuzzy structures as fuzzy groups, fuzzy ideals, fuzzy vector spaces and so on.
Lattice valued intuitionistic fuzzy sets
In this paper a new definition of a lattice valued intuitionistic fuzzy set (LIFS) is introduced, in an attempt to overcome the disadvantages of earlier definitions. Some properties of this kind of fuzzy sets and their basic operations are given. The theorem of synthesis is proved: For every two families of subsets of a set satisfying certain conditions, there is an lattice valued intuitionistic fuzzy set for which these are families of level sets.
Lattices of fuzzy objects.
Left and right semi-uninorms on a complete lattice
Uninorms are important generalizations of triangular norms and conorms, with a neutral element lying anywhere in the unit interval, and left (right) semi-uninorms are non-commutative and non-associative extensions of uninorms. In this paper, we firstly introduce the concepts of left and right semi-uninorms on a complete lattice and illustrate these notions by means of some examples. Then, we lay bare the formulas for calculating the upper and lower approximation left (right) semi-uninorms of a binary...
-fuzzy basically disconnected spaces in smooth fuzzy topological spaces
In this paper, the concepts of -fuzzy -open sets and -fuzzy basically disconnected spaces are introduced in the sense of Šostak and Ramadan. Some interesting properties and characterizations are studied. Tietze extension theorem for -fuzzy basically disconnected spaces is discussed.
Many-dimensional observables on Łukasiewicz tribe: constructions, conditioning and conditional independence
Probability on collections of fuzzy sets can be developed as a generalization of the classical probability on -algebras of sets. A Łukasiewicz tribe is a collection of fuzzy sets which is closed under the standard fuzzy complementation and under the pointwise application of the Łukasiewicz t-norm to countably many fuzzy sets. An observable is a fuzzy set-valued mapping defined on a -algebra of sets and satisfying some additional properties; formally, the role of an observable is in a sense analogous...
Martingale for R-Fuzzy Valued Random Variable
Mathematical aspects of the theory of measures of fuzziness.
After recalling the axiomatic concept of fuzziness measure, we define some fuzziness measures through Sugeno's and Choquet's integral. In particular, for the so-called homogeneous fuzziness measures we prove two representation theorems by means of the above integrals.
Maximizing and minimizing fuzzy sets.
Medidas de nitidez para conjuntos difusos.
En este trabajo se realiza un estudio de Medidas de Nitidez para conjuntos difusos. Se comienza dando los conceptos de Medida Puntual de Nitidez o Auto-nitidez puntual y Medida de Nitidez para conjunto difuso, pasando a continuación a dar dos teoremas de construcción de Medidas de Nitidez y uno de caracterización para aquellas medidas que sean valoraciones en el retículo Ln(X).
Medium distances of probability-fuzzy points and an application to linear programming
Metrics on vector spaces with -localisation.