Journal ArticleDOI
γ-Open sets and γ-continuous mappings in fuzzy bitopological spaces
Binod Chandra Tripathy,Shyamal Debnath +1 more
- Vol. 24, Iss: 3, pp 631-635
TLDR
Some basic properties and characterization theorems for the γ-continuous functions in fuzzy bitopological spaces are examined and it is observed that every pairwise fuzzyγ-Continuous functions is pairwise warm precontinuous but the converse not true.Abstract:
In this paper we introduce the notion of γ-open sets and γ-continuous functions in fuzzy bitopological spaces. We examine some basic properties and prove some characterization theorems for the said functions. It is observed that every pairwise fuzzy γ-continuous functions is pairwise fuzzy precontinuous but the converse not true.read more
Citations
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A similarity measure of intuitionistic fuzzy soft sets and its application in medical diagnosis
TL;DR: A new similarity measure and a weighted similarity measure on intuitionistic fuzzy soft sets (IFSSs) are proposed and some of their basic properties are discussed and it is found that the defined relation is not an equivalence relation.
On Almost -continuous Functions
TL;DR: In this paper, the authors introduce a new class of functions called almost continuous functions (almost continuous functions) which are con- tained in the class of almost continuous function and contain the classes of -continuous functions.
Journal ArticleDOI
On a type of generalized open sets
TL;DR: In this paper, a new class of sets called μ-generalized closed (briefly μg-closed) sets in generalized topological spaces are introduced and studied, and some properties of their properties are investigated.
Journal ArticleDOI
Generalization of Pawlak's rough approximation spaces by using δβ-open sets
H. M. Abu-Donia,A. S. Salama +1 more
TL;DR: Parlak's rough set theory is extended to a topological model where the set approximations are defined using the topological notion @d@b-open sets and it is proved that some of the properties of Pawlak'srough set model are special instances of those of topological generalizations.
Journal ArticleDOI
Generalized statistically convergent sequences of functions in fuzzy 2-normed spaces
Ekrem Savaş,Mehmet Gürdal +1 more
TL;DR: This paper introduces a new type of convergence for a sequence of function, namely, λ-statistically convergent sequences of functions in fuzzy 2-normed space, which is a natural generalization of convergence in fuzzy 1- normed space.
References
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On fuzzy strong semicontinuity and fuzzy precontinuity
TL;DR: This paper introduces and makes a preliminary study of fuzzy strongly semicontinuous, and fuzzy precontinuous mappings in the fuzzy setting.
Journal ArticleDOI
Lacunary Statically Convergent and Lacunary Strongly Convergent Generalized Difference Sequences of Fuzzy Real Numbers
TL;DR: In this article, the authors introduce the concept of lacunary statistical and strongly convergence of generalized difference sequence of fuzzy real numbers and prove some inclusion relations and also study some of their properties.