On fuzzy -contractive mappings in fuzzy metric spaces.
On fuzzy -continuous multifunction.
On generalized fuzzy strongly semiclosed sets in fuzzy topological spaces.
On Hausdorffness and compactness in intuitionistic fuzzy topological spaces
On maximal and minimal fuzzy sets in I-topological spaces.
On Michálek's fuzzy topological spaces
The aim of this paper is to study some properties of Michálek’s fuzzy topology which are quite different of the classic properties of the Chang’s topology.
On semigroups of continuous transformations on fuzzily structured sets.
On smooth fuzzy subspaces.
On some kinds of fuzzy connected spaces
In this paper we introduce new results in fuzzy connected spaces. Among the results obtained we can mention the good extension of local connectedness. Also we prove that in a -fuzzy compact space the notions c-zero dimensional, strong c-zero dimensional and totally -disconnected are equivalent.
On some modifications of fuzzy topology
On some ordinary and fuzzy homogenity types.
On some types of continuous fuzzy functions.
On somewhat fuzzy semicontinuous functions
In this paper the concept of somewhat fuzzy semicontinuous functions, somewhat fuzzy semiopen functions are introduced and studied. Besides giving characterizations of these functions, several interesting properties of these functions are also given. More examples are given to illustrate the concepts introduced in this paper.
On stratifiable fuzzy topological spaces
The aim of the paper is to extend the notion of stratifiability from the category Top of topological spaces to the category CFT of [Chang] fuzzy topological spaces and to develop the corresponding theory.
On the concept of E-regularity for fuzzy topology
On the fundamentals of fuzzy sets.
A considerable amount of research has been done on the notions of pseudo complement, intersection and union of fuzzy sets [1], [4], [11]. Most of this work consists of generalizations or alternatives of the basic concepts introduced by L. A. Zadeh in his famous paper [13]: generalization of the unit interval to arbitrary complete and completely distributive lattices or to Boolean algebras [2]; alternatives to union and intersection using the concept of t-norms [3], [10]; alternative complements...
On the generalizations of Siegel's fixed point theorem.
In this paper, we establish a new version of Siegel's fixed point theorem in generating spaces of quasi-metric family. As consequences, we obtain general versions of the Downing-Kirk's fixed point and Caristi's fixed point theorem in the same spaces. Some applications of these results to fuzzy metric spaces and probabilistic metric spaces are presented.
On the hyperspace of bounded closed sets under a generalized Hausdorff stationary fuzzy metric
In this paper, we generalize the classical Hausdorff metric with t-norms and obtain its basic properties. Furthermore, for a given stationary fuzzy metric space with a t-norm without zero divisors, we propose a method for constructing a generalized Hausdorff fuzzy metric on the set of the nonempty bounded closed subsets. Finally we discuss several important properties as completeness, completion and precompactness.
On the level spaces of fuzzy topological spaces.
On the Order Type L-valued Relations on L-powersets.