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2023 | OriginalPaper | Chapter

Separation Axioms in Bipolar Fuzzy Topological Spaces

Authors : Manjeet Singh, Asha Gupta

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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Abstract

The chapter delves into the extension of separation axioms into bipolar fuzzy topological spaces, a generalization of traditional topological concepts. It begins by summarizing key definitions and properties of bipolar fuzzy sets and topological spaces, including the generalized bipolar fuzzy point. The core of the chapter introduces and defines separation axioms in this context, such as BFT, BFT1, and BFT2, and explores their interrelations. Notably, it discusses how these axioms deviate from classical topology due to the unique nature of bipolar fuzzy sets. The chapter also presents theorems that establish conditions for these axioms and their implications, providing a comprehensive framework for understanding separation in bipolar fuzzy topological spaces.
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previous chapter New Higher Order Iterative Method for Multiple Roots of Nonlinear Equations
next chapter A Study of Type Generalized Contraction Via -Contraction with Application
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Metadata
Title
Separation Axioms in Bipolar Fuzzy Topological Spaces
Authors
Manjeet Singh
Asha Gupta
Copyright Year
2023
Publisher
Springer Nature Singapore
Book
Frontiers in Industrial and Applied Mathematics

Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-981-19-7272-0_41

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