(L,M)-fuzzy topological derived internal relations and (L,M)-fuzzy topological derived enclosed relations

Document Type : Research Paper

Authors

1 School of Mathematics and Statistics, Anhui Normal University, Wuhu, China

2 School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, China

Abstract

In this paper, notions of \LM fuzzy topological derived internal relation space and \LM
fuzzy topological derived interior space are introduced.
It is proved that they are categorically isomorphic to \LM fuzzy topological internal
relation space and \LM fuzzy topological space. Also, notions of \LM fuzzy topological
derived enclosed relation space and \LM fuzzy topological derived closure space are introduced. It is proved that they are categorically isomorphic to \LM fuzzy topological enclosed relation space and \LM fuzzy topological space.

Keywords

Iranian Journal of Fuzzy Systems
Volume 19, Issue 3
May and June 2022
Pages 89-106

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