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On the T -conditionality of T -power based implications

Zuming Peng (2022)

Kybernetika

It is well known that, in forward inference in fuzzy logic, the generalized modus ponens is guaranteed by a functional inequality called the law of T -conditionality. In this paper, the T -conditionality for T -power based implications is deeply studied and the concise necessary and sufficient conditions for a power based implication I T being T -conditional are obtained. Moreover, the sufficient conditions under which a power based implication I T is T * -conditional are discussed, this discussions give an...

On the transfer principle in fuzzy theory.

Michiro Kondo, Wieslaw A. Dudek (2005)

Mathware and Soft Computing

We show in this paper that almost all results proved in many papers about fuzzy algebras can be proved uniformly and immediately by using so-called Transfer Principle.

On types of fuzzy numbers under addition

Dug Hun Hong (2004)

Kybernetika

We consider the question whether, for given fuzzy numbers, there are different pairs of t -norm such that the resulting membership function within the extension principle under addition are identical. Some examples are given.

Open topics in fuzzy coalitional games with transferable utility

Milan Mareš (2006)

Banach Center Publications

Vagueness is one of the phenomena which cannot be separated from the real bargaining and cooperative situations. The aim of this paper is to offer a brief survey of the recent state-of-art of the modelling of vagueness in coalitional games with transferable utility. It may be recognized in two components of these games, namely, in vague structure of coalitions where each player may simultaneously participate in several of them, and in vague expectations of coalitional pay-offs. Both these cases...

Ovchinnikov's automorphisms revisited.

Enric Trillas, Adolfo Rodríguez de Soto, Susana Cubillo (1994)

Mathware and Soft Computing

In [6] an approach to the representation of synonyms and antonyms via the automorphisms of the De Morgan Algebra [0,1]X was suggested. In [3], Ovchinnikov established a representation theorem for automorphisms of the function's complete and completely distributive lattice [0,1]X with the pointwise extension of Min and Max operations in [0,1]. Ovchinnikov results are now inmediately generalized by using a positive t-norm T and its dual eta-dual t-conorm T*. These results are applied to study the...

OWA operators for discrete gradual intervals: implications to fuzzy intervals and multi-expert decision making

Zdenko Takáč (2016)

Kybernetika

A new concept in fuzzy sets theory, namely that of gradual element, was introduced recently. It is known that the set of gradual real numbers is not ordered linearly. We restrict our attention to a discrete case and propose a class of linear orders for discrete gradual real numbers. Then, using idea of the so-called admissible order of intervals, we present a class of linear orders for discrete gradual intervals. Once we have the linear orders it is possible to define OWA operator for discrete gradual...

p -symmetric bi-capacities

Pedro Miranda, Michel Grabisch (2004)

Kybernetika

Bi-capacities have been recently introduced as a natural generalization of capacities (or fuzzy measures) when the underlying scale is bipolar. They allow to build more flexible models in decision making, although their complexity is of order 3 n , instead of 2 n for fuzzy measures. In order to reduce the complexity, the paper proposes the notion of p -symmetric bi- capacities, in the same spirit as for p -symmetric fuzzy measures. The main idea is to partition the set of criteria (or states of nature,...

Preservation of properties of fuzzy relations during aggregation processes

Józef Drewniak, Urszula Dudziak (2007)

Kybernetika

Diverse classes of fuzzy relations such as reflexive, irreflexive, symmetric, asymmetric, antisymmetric, connected, and transitive fuzzy relations are studied. Moreover, intersections of basic relation classes such as tolerances, tournaments, equivalences, and orders are regarded and the problem of preservation of these properties by n -ary operations is considered. Namely, with the use of fuzzy relations R 1 , ... , R n and n -argument operation F on the interval [ 0 , 1 ] , a new fuzzy relation R F = F ( R 1 , ... , R n ) is created. Characterization...

Problemas de decisión en ambiente difuso.

José Luis Verdegay Galdeano (1983)

Trabajos de Estadística e Investigación Operativa

Bajo un planteamiento difuso del Problema General de Decisión Unipersonal, se propone un método que permite definir una función de utilidad para este problema. Dicha función se muestra como una familia de funciones de utilidad, la cual se considera como la "utilidad difusa" que sirve para resolver el problema que se plantea en los distintos contextos.

Currently displaying 261 – 280 of 371