SONGKLANAKARIN JOURNAL OF SCIENCE & TECHNOLOGY

Volume 41, No. 01, Month JANUARY, Year 2019, Pages 216 - 221

Generalized fuzzy closed sets in generalized fuzzy topological spaces

Jayasree Chakraborty, Baby Bhattacharya, Arnab Paul

Abstract Download PDF

This paper aims to put forward one more difference between generalized topological space and generalized fuzzy topological space via generalized closed set in the respective fields. Also we claim and prove that to a certain extent, the role of generalized closed set in a fuzzy topological space is not similar in nature with that of generalized closed set in a generalized fuzzy topological space. Generalized closed sets coincide with closed sets under some appropriate restrictions though the implication does not hold in general in a generalized fuzzy topological space.

Keywords

generalized fuzzy ????-closed set, fuzzy ????-no where dense set, generalized fuzzy ????-open set, generalized fuzzy (???? , ????)-continuity

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