Fuzzy semi-preopen sets and fuzzy semi-precontinuous mappings
TL;DR: The aim of this paper is to introduce and discuss the concepts of fuzzy semi-preopen sets and fuzzy Semi-precontinuous mappings.
About: This article is published in Fuzzy Sets and Systems.The article was published on 1994-11-14. It has received 16 citations till now. The article focuses on the topics: Fuzzy classification & Fuzzy set.
Citations
More filters
TL;DR: This paper generalizes the concepts of fuzzy semi-preopen (semi-preclosed) sets and fuzzy Semi-precontinuous mappings due to Park and Lee into fuzzy bitopological setting and discusses some of its basic properties.
4 citations
TL;DR: In this paper, the authors introduce and study the concepts of semicontinuous mappings, continuous mappings and semi-open mappings in fuzzifying bitopological spaces.
3 citations
TL;DR: It is shown that certain results of several publications on the concepts of weakness and strength of fuzzy generalized closed sets are considered as corollaries of the results of this research.
Abstract: The aim of this work is to introduce -operations on fuzzy topological spaces and to use them to study fuzzy generalized -closed sets and fuzzy generalized -open sets. Also, we introduce some characterizations and properties for these concepts. Finally we show that certain results of several publications on the concepts of weakness and strength of fuzzy generalized closed sets are considered as corollaries of the results of this research.
2 citations
TL;DR: Two types of functions in a fuzzifying topological spaces called fuzzifying strong β-irresolute and fuzzifying weak β-IRresolute functions are presented and several characterizations of these functions along with different conditions for their existence are obtained.
Abstract: The aim of this paper is to introduce and study the concepts of fuzzifying semipre-θ-neighborhood system of a point, fuzzifying semipre-θ-closure of a set, fuzzifying semipre-θ-interior of a set, fuzzifying semipre-θ-open sets and fuzzifying semipre-θ-closed sets in fuzzifying topological spaces, and investigate some of their basic properties. Also, we present two types of functions in a fuzzifying topological spaces called fuzzifying strong β-irresolute and fuzzifying weak β-irresolute functions. The interrelations of these functions with the parallel existing allied concepts are established. Further, several characterizations of these functions along with different conditions for their existence are obtained.
2 citations
Journal Article•
TL;DR: Some new classes of mappings are introduced and investigated to the fuzzy topological spaces in Ŝ ostak's sense and some of their fundamental properties are studied.
Abstract: The main purpose of the article is to introduce and investigate some new classes of mappings called fuzzy -continuous, fuzzy -open map and fuzzy -closed map to the fuzzy topological spaces in ostak's sense. Also, some of their fundamental properties are studied. Also, we investigate the relationships between fuzzy continuous, fuzzy -semicontinuous, fuzzy -continuous, fuzzy -semicontinuous, fuzzy -precontinuous, fuzzy -continuous, fuzzy -continuous, fuzzy -continuous, fuzzy -continuous and fuzzy -continuous mappings. Moreover, we investigate the relationships between fuzzy open, fuzzy -semiopen, fuzzy -open, fuzzy -semiopen, fuzzy -preopen, fuzzy -open, fuzzy -open, fuzzy -open and fuzzy -open mappings in smooth topological spaces.
1 citations
Cites background from "Fuzzy semi-preopen sets and fuzzy s..."
...(iv) fuzzy -irresolute [40] map if is -f o set in for each -f o set in...
[...]
...[36, 37, 38, 39, 40]introduced r -fuzzy M -open sets, r -fuzzy * M -open sets, fuzzy M -continuous, fuzzy M -irresolute and fuzzy M -open and fuzzy M -closed maps in a fuzzy topological space in the sense of Ŝ ostak....
[...]
References
More filters
1,997 citations
995 citations
430 citations
TL;DR: This paper introduces and makes a preliminary study of fuzzy strongly semicontinuous, and fuzzy precontinuous mappings in the fuzzy setting.
117 citations
TL;DR: In this paper, the notion of fuzzy Hausdorff topological spaces is introduced and a few observations are made to establish the appropriateness of this notion and its applicability.
75 citations