Double fuzzy $ \alpha $-$ \eth $-continuous multifunctions-Reference-Cited by-同舟云学术

Double fuzzy $ \alpha $-$ \eth $-continuous multifunctions

Published:2024 Issue:6 Volume:9 Page:16623-16642
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Abu_Shugair M. N.¹²,Abdallah A. A.¹,Abbas S. E.²,Ibedou Ismail³

Affiliation:

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

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

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

Abstract

<abstract><p>Various types of double fuzzy continuity of fuzzy multifunctions are introduced in this paper. These types are double fuzzy upper and lower $ \alpha $-$ \eth $-continuous, almost $ \alpha $-$ \eth $-continuous, weakly $ \alpha $-$ \eth $-continuous and almost weakly $ \alpha $-$ \eth $-continuous multifunctions. Double fuzzy ideals are playing the main role in defining these types of continuous multifunctions. All implications associated with these types are ensured; also, many examples are introduced to illustrate these implications, and to explain the advantages of these new types of continuity for some previous definitions.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference23 articles.

1. S. E. Abbas, A. H. Zakaria, Lattice valued double fuzzy ideal structure, J. Fuzzy Math., 20 (2012), 899–910.

2. S. E. Abbas, M. A. Hebeshi, I. M. Taha, On fuzzy upper and lower semi-continuous multifunctions, J. Fuzzy Math., 22 (2014), 951–962.

3. S. E. Abbas, M. A. Hebeshi, I. M. Taha, On upper and lower almost weakly continuous fuzzy multifunctions, Iran. J. Fuzzy Syst., 12 (2015), 101–114.

4. S. E. Abbas, M. A. Hebeshi, I. M. Taha, On upper and lower contra-continuous fuzzy multifunctions, Punjab Uni. J. Math., 47 (2015), 105–117.

5. S. E. Abbas, I. Ibedou, Fuzzy topological concepts via ideals and grills, Ann. Fuzzy Math. Inform., 15 (2018), 137–148.