Generalized compactness in fuzzy topological spaces
An overview of generated triangular norms and their applications is presented. Several properties of generated -norms are investigated by means of the corresponding generators, including convergence properties. Some applications are given. An exhaustive list of relevant references is included.
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.
In this paper we introduce and study the concepts of -closed set and -limit (-cluster) points of -nets and -ideals using the notion of almost -compact remoted neighbourhoods in -topological spaces. Then we introduce and study the concept of -continuous mappings. Several characterizations based on -closed sets and the -convergence theory of -nets and -ideals are presented for -continuous mappings.
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...
The main purpose of this paper is to introduce the concept of intuitionistic -fuzzy quasi-coincident neighborhood systems of intuitiostic fuzzy points. The relation between the category of intuitionistic -fuzzy topological spaces and the category of intuitionistic -fuzzy quasi-coincident neighborhood spaces are studied. By using fuzzifying topology, the notion of generated intuitionistic -fuzzy topology is proposed, and the connections among generated intuitionistic -fuzzy topological spaces,...
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 -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...
It is shown that the same probabilistic metric as used by Schweizer and Sklar to obtain all Lp space metrics can be used to derive the metrics of Orlicz 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.