Invertible Fuzzy Topological Spaces

Anjaly Jose () and Sunil C. Mathew
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Anjaly Jose: St. Joseph’s College Devagiri, Department of Mathematics
Sunil C. Mathew: Deva Matha College Kuravilangad, Department of Mathematics

Chapter Chapter 3 in Invertible Fuzzy Topological Spaces, 2022, pp 23-34 from Springer

Abstract: Abstract The chapter focuses on the basic nature of invertible fuzzy topological space with special reference to the role of fuzzy points. Certain conditions necessary for an inverting fuzzy subset in the respective spaces are derived. In addition, situations under which a given fuzzy set is not an inverting fuzzy set are explored. Completely invertible fuzzy topological spaces are also defined and some characterizations are obtained. The basic properties of such spaces are examined thoroughly. Since homeomorphisms play a vital role in the invertibility of fuzzy topological space, the relationship of invertible and completely invertible fts with H-fts, N-fts and homogeneous fts is investigated. The orbits in invertible fuzzy topological spaces are also studied and described in the best possible manner.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-19-3689-0_3

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DOI: 10.1007/978-981-19-3689-0_3

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