Properties of 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 5 in Invertible Fuzzy Topological Spaces, 2022, pp 43-58 from Springer

Abstract: Abstract The chapter investigates and speculates mainly the effect of invertibility on certain fuzzy topological properties. In other words, this chapter illustrates the importance of invertibility in fuzzy topological space. Certain properties of a subspace determined by an invertible crisp open set can be carried over to the parent fuzzy topological space. For some properties, complete invertibility of the fuzzy topological space is required for such an extension. The fuzzy topological properties discussed here are separation axioms, countability axioms, compactness and fuzzy connectedness.

Date: 2022
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DOI: 10.1007/978-981-19-3689-0_5

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