On (L,M)-fuzzy convex structures

Author:

Sayed Osama1,El-Sanousy El-Sayed2,Sayed Yaser2

Affiliation:

1. Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

2. Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt

Abstract

This paper defines a new class of L-fuzzy sets called r-L-fuzzy biconvex sets in (L,M)-fuzzy convex structures (X,C), where C is an (L,M)-fuzzy convexity on X, and some of their properties were studied. In addition, weintroduce (L,M)-fuzzy topological convexity space and study some of its properties. Finally, we introduce locally (L,M)-fuzzy topology (L,M)-fuzzy convexity space and study some of its properties.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A new characterization of the product of (L, M)-fuzzy convex structures1;Journal of Intelligent & Fuzzy Systems;2023-08-24

2. On (L, N)-fuzzy betweenness relations;FILOMAT;2023

3. Concave (L, M)-fuzzy interior operators and (L, M)-fuzzy hull operators;Computational and Applied Mathematics;2021-11-12

4. On separation axioms in (L, M)-fuzzy convex structures;Journal of Intelligent & Fuzzy Systems;2021-04-22

5. On the sum of L-convex spaces;Journal of Intelligent & Fuzzy Systems;2021-03-02

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