On the Extensions of LM-Fuzzy Topologies

S. Vivek () and Sunil C. Mathew
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S. Vivek: Department of Mathematics, St. Thomas College, Palai Arunapuram P.O. 686574, Kottayam, Kerala, India
Sunil C. Mathew: Department of Mathematics, St. Thomas College, Palai Arunapuram P.O. 686574, Kottayam, Kerala, India

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 02, 249-265

Abstract: This paper analyzes and modifies the concepts of degree of regularity and degree of normality introduced by Shi in 2011. Also the authors introduce extensions of LM-fuzzy topological spaces and explore the link between the associated L-topologies of a given space and its extensions. Further, the effect of extensions on the degree of regularity and degree of normality of an LM-fts has been investigated.

Keywords: LM-fuzzy topological space; extension; regularity; normality (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S1793005721500137

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