An Analysis on Fuzzy E -Open sets and Fuzzy E -Continuity in Topological Spaces

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Published: Sep 2, 2024
DOI: https://doi.org/10.29070/372sw150
Keywords:
Fuzzy E -Open Sets , Fuzzy E -Continuity , Topological Spaces

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Authors

Reeja P S

Research Scholar, University of Technology, Jaipur, Rajasthan

Dr. Dharmendra Saxena

Professor, Department of Mathematics, University of Technology, Jaipur, Rajasthan

Abstract

Fuzzy set theory extends traditional topological concepts through Fuzzy E-Open Sets and Fuzzy E-Continuity.   These sets, in conjunction with fuzzy e-open sets, are generalised variations of conventional topological sets such as β-, a-, and e-open sets.   Fuzzy and intuitionistic fuzzy e-open sets exhibit topological patterns, however their interrelations and behaviours may not consistently be reciprocal.  

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Vol. 21 No. 2 (2024): Journal of Advances in Science and Technology (JAST)

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