2012
DOI: 10.5391/ijfis.2012.12.4.290
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Delta Closure and Delta Interior in Intuitionistic Fuzzy Topological Spaces

Abstract: Due to importance of the concepts of θ-closure and δ-closure, it is natural to try for their extensions to fuzzy topological spaces. So, Ganguly and Saha introduced and investigated the concept of fuzzy δ-closure by using the concept of quasicoincidence in fuzzy topological spaces. In this paper, we will introduce the concept of δ-closure in intuitionistic fuzzy topological spaces, which is a generalization of the δ-closure by Ganguly and Saha.

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Cited by 2 publications
(2 citation statements)
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“…The compliment of fuzzy 𝛾 open set is fuzzy closed set. [8] A fuzzy subset 𝐴 of fuzzy topological space (𝑋, 𝜏) is said to be fuzzy 𝛿 closed if 𝐴 = 𝑐𝑙(𝐴).…”
Section: Definition [7]mentioning
confidence: 99%
“…The compliment of fuzzy 𝛾 open set is fuzzy closed set. [8] A fuzzy subset 𝐴 of fuzzy topological space (𝑋, 𝜏) is said to be fuzzy 𝛿 closed if 𝐴 = 𝑐𝑙(𝐴).…”
Section: Definition [7]mentioning
confidence: 99%
“…In the previous papers [16,17], we also introduced and investigated some properties of the concept of intuitionistic fuzzy θ-interior and δ-closure in intuitionistic fuzzy topological spaces.…”
Section: Introductionmentioning
confidence: 99%