Double Fuzzy Ideal Multifunctions

M. N. Abu_Shugair, A. A. Abdallah, S. E. Abbas, E. El-Sanowsy and Ismail Ibedou ()
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M. N. Abu_Shugair: Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia
A. A. Abdallah: Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia
S. E. Abbas: Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
E. El-Sanowsy: Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
Ismail Ibedou: Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

Mathematics, 2024, vol. 12, issue 8, 1-17

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.

Keywords: DF-ideal topological space; ( p , q )-fuzzy local function; DF-multifunction; DFU-(DFL-) ð-continuous; almost ð-continuous; weakly ð-continuous; almost weakly ð-continuous (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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