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Generated triangular norms

Erich Peter Klement, Radko Mesiar, Endre Pap (2000)

Kybernetika

An overview of generated triangular norms and their applications is presented. Several properties of generated t -norms are investigated by means of the corresponding generators, including convergence properties. Some applications are given. An exhaustive list of relevant references is included.

Hausdorffness in intuitionistic fuzzy topological spaces.

Francisco Gallego Lupiáñez (2003)

Mathware and Soft Computing

The basic concepts of the theory of intuitionistic fuzzy topological spaces have been defined by D. Çoker and co-workers. In this paper, we define new notions of Hausdorffness in the intuitionistic fuzzy sense, and obtain some new properties, in particular on convergence.

HC-convergence theory of L -nets and L -ideals and some of its applications

A. A. Nouh (2003)

Mathematica Bohemica

In this paper we introduce and study the concepts of error -closed set and error -limit ( error -cluster) points of L -nets and L -ideals using the notion of almost N -compact remoted neighbourhoods in L -topological spaces. Then we introduce and study the concept of error -continuous mappings. Several characterizations based on error -closed sets and the error -convergence theory of L -nets and L -ideals are presented for error -continuous mappings.

Introducing FDSA (Fuzzy Dictionary of Synonyms and Antonyms): applications on information retrieval and stand-alone use.

Santiago Fernández Lanza, Jorge Graña, Alejandro Sobrino (2003)

Mathware and Soft Computing

We start by analyzing the role of imprecision in information retrieval in the Web, some theoretical contributions for managing this problem and its presence in search engines, with special emphasis on the use of thesaurus in order to increase the relevance of the documents retrieved. We then present FDSA, a Spanish electronic dictionary of synonyms that compute degrees of synonymy, and an eflicient implementation of it by using deterministic acyclic finite-state automata. We conclude by conjecturing...

Intuitionistic I -fuzzy topological spaces

Cong-hua Yan, Xiao-ke Wang (2010)

Czechoslovak Mathematical Journal

The main purpose of this paper is to introduce the concept of intuitionistic I -fuzzy quasi-coincident neighborhood systems of intuitiostic fuzzy points. The relation between the category of intuitionistic I -fuzzy topological spaces and the category of intuitionistic I -fuzzy quasi-coincident neighborhood spaces are studied. By using fuzzifying topology, the notion of generated intuitionistic I -fuzzy topology is proposed, and the connections among generated intuitionistic I -fuzzy topological spaces,...

Invariant approximation for fuzzy nonexpansive mappings

Ismat Beg, Mujahid Abbas (2011)

Mathematica Bohemica

We establish results on invariant approximation for fuzzy nonexpansive mappings defined on fuzzy metric spaces. As an application a result on the best approximation as a fixed point in a fuzzy normed space is obtained. We also define the strictly convex fuzzy normed space and obtain a necessary condition for the set of all t -best approximations to contain a fixed point of arbitrary mappings. A result regarding the existence of an invariant point for a pair of commuting mappings on a fuzzy metric...

m * -fuzzy basically disconnected spaces in smooth fuzzy topological spaces

B. Amudhambigai, Mallasamudram Kuppusamy Uma, Elango Roja (2013)

Mathematica Bohemica

In this paper, the concepts of m * r -fuzzy g ˜ -open F σ sets and m * -fuzzy basically disconnected spaces are introduced in the sense of Šostak and Ramadan. Some interesting properties and characterizations are studied. Tietze extension theorem for m * -fuzzy basically disconnected spaces is discussed.

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