In this paper, the concept of pairwise fuzzy GID-spaces is introduced by means of pairwise dense interior of pairwise fuzzy dense and pairwise fuzzy -sets. Several characterizations of pairwise fuzzy GID-spaces are obtained. The conditions for the pairwise fuzzy GID-spaces to become pairwise fuzzy submaximal spaces and the pairwise fuzzy GID-spaces to become pairwise fuzzy Baire spaces are obtained. It is also established that pairwise fuzzy strongly irresolvable spaces are pairwise fuzzy GID-spaces and pairwise fuzzy GID-spaces are pairwise fuzzy almost GP-spaces. Further, it is established that pairwise fuzzy Baire and pairwise fuzzy GID-spaces are pairwise fuzzy Volterra spaces.

pairwise fuzzy -set, pairwise fuzzy -set, pairwise fuzzy dense set, pairwise fuzzy semi-open set, pairwise fuzzy almost GP-space, pairwise fuzzy Baire space, pairwise fuzzy Volterra space.

Received: June 1, 2021; Accepted: June 14, 2021; Published: July 5, 2021

How to cite this article: Thangaraj and E. Roseline Gladis, On pairwise fuzzy GID-spaces, Advances in Fuzzy Sets and Systems 26(1) (2021), 77-101. DOI: 10.17654/FS026010077

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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