New Boundary Function In Fuzzy Topological Spaces

Sanjivappa K Dembare

doi:https://doi.org/10.14445/22315373/IJMTT-V67I6P507

International Journal of Mathematics Trends and Technology

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Volume 67 | Issue 6 | Year 2021 | Article Id. IJMTT-V67I6P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I6P507

New Boundary Function In Fuzzy Topological Spaces

Sanjivappa K Dembare

Abstract

In this Paper the notion of fuzzy boundary generalized-continuity, fuzzy boundary generalized-irresolute mappings,fuzzy boundary generalized - homeomorphism and fuzzy boundary generalized*-homeomorphism are introduced and some characterizations are obtained. It is shown that f-continuous map is fuzzy boundary generalized-continuous, fuzzy boundary generalized-irresolute map is fuzzy boundary generalized-continuous, fuzzy boundary generalized-continuous map is fgb-continuous and fuzzy boundary generalized-continuous is fspg-continuous, but the converses need not be true in each of the cases which is shown by examples.

Keywords

Fuzzy boundary closed sets, Fuzzy boundary open sets, fuzzy boundary generalized-continuity, fuzzy boundary generalized homeomorphism.

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Citation :

Sanjivappa K Dembare, "New Boundary Function In Fuzzy Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 6, pp. 50-57, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I6P507