Double Fuzzy Ideal Multifunctions

Author:

Abu_Shugair M. N.12,Abdallah A. A.1ORCID,Abbas S. E.2,El-Sanowsy E.2,Ibedou Ismail3ORCID

Affiliation:

1. Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

3. Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

Abstract

In this paper, we introduce the notion of p,q-fuzzy local function and DF-ideal topological space. Also, we introduce the concepts DFU-ð-continuous and DFL-ð-continuous, almost ð-continuous, weakly ð-continuous and almost weakly ð-continuous multifunctions. Several properties and characterizations of the introduced multifunctions and types of continuity are established. Some examples are given to explain the correct implications between these notions.

Funder

Deputyship for Research & Innovation, Ministry of Education in Saudi Arabia

Publisher

MDPI AG

Reference21 articles.

1. Fuzzy sets;Zadeh;Inf. Control,1965

2. Fuzzy topological spaces;Chang;J. Math. Anal. Appl.,1968

3. Sostak, A.P. On a fuzzy topological structure. Proceedings of the 13th Winter School on Abstract Analysis.

4. Kubiak, T. (1985). On Fuzzy Topologies. [Ph.D. Dissertation, Adam Mickiewicz University].

5. Basic structures of fuzzy topology;Sostak;J. Math. Sci.,1996

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