Regularity and normality of (L,M)-Fuzzy topological spaces

doi:10.1016/j.fss.2010.07.008

Fuzzy Sets and Systems

Volume 182, Issue 1, 1 November 2011, Pages 37-52

https://doi.org/10.1016/j.fss.2010.07.008 Get rights and content

Abstract

In this paper, regularity and normality axioms are introduced in (L,M)-fuzzy topological spaces where L and M are completely distributive lattices with order-reversing involution. Each (L,M)-fuzzy topological space can be regarded to be regular and normal to some degree. The relations among the four separation axioms are investigated. They are equivalent to each other in an (L,M)-fuzzy metric space.

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^☆: The project is supported by the National Natural Science Foundation of China (10971242).

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Regularity and normality of (L,M)-Fuzzy topological spaces☆

Abstract

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