In this paper, fuzzy strongly irresolvability of fuzzy topological space is established by means of fuzzy simply open sets. It is established that fuzzy hyperconnected spaces are fuzzy strongly irresolvable spaces whereas fuzzy perfectly disconnected spaces are not necessarily fuzzy strongly irresolvable spaces. The conditions under which fuzzy Moscow spaces and fuzzy P-spaces become fuzzy strongly irresolvable spaces are obtained. It is established that fuzzy P-spaces with fuzzy strongly irresolvability and fuzzy nodefness are fuzzy submaximal spaces. The condition under which a fuzzy strongly irresolvable space becomes a fuzzy Baire space is also obtained by means of fuzzy resolvable sets.

fuzzy dense set, fuzzy nowhere dense set, fuzzy simply* open set, fuzzy hyperconnected space, fuzzy globally disconnected space, fuzzy submaximal space, fuzzy irresolvable space, fuzzy P-space.

Received: October 1, 2021; Accepted: November 10, 2021; Published: November 17, 2021

How to cite this article: G. Thangaraj and S. Lokeshwari, Fuzzy Strongly Irresolvable Spaces And Fuzzy Simply Open Sets, Advances in Fuzzy Sets and Systems 27(1) (2022), 1-33. DOI: 10.17654/0973421X22001

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

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