Suitable interval-valued intuitionistic fuzzy topological spaces-Reference-Cited by-同舟云学术

Suitable interval-valued intuitionistic fuzzy topological spaces

Published:2021-08-11 Issue:1 Volume:41 Page:879-889
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Sayed Osama Rashed¹,Sayed Nabil Hasan²,Chen Gui-Xiu³

Affiliation:

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

2. Department of Mathematics, Faculty of Science, New Valley University, Egypt

3. School of Mathematics and Statistics, Qinghai Normal University, Xining, P. R. China

Abstract

In the present paper, a characterization of the intuitionistic fuzzy sets, the interval-valued intuitionistic fuzzy sets and their set-operations are given. By making use of these characterizations, the relationships between the interval-valued intuitionistic fuzzy topology and four fuzzy topologies associated to it are studied. For this reason, some subclasses of the family of interval-valued intuitionistic fuzzy topologies on a set which we call pre-suitable and suitable are introduced. Furthermore, the concepts of homeomorphism functions and compactness in the framework of interval-valued intuitionistic fuzzy topological spaces are introduced and studied.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference37 articles.

1. Intuitionistic fuzzy sets;Atanassov;Fuzzy Sets and Systems,1986

2. Operators over interval-valued intuitionistic fuzzy sets;Atanassov;Fuzzy Sets and Systems,1994

3. Atanassov K.T. , Intuitionistic Fuzzy Sets: Theory and Applications, Springer-Verlag, Heidelberg, New York, 1999.

4. Interval-valued intuitionistic fuzzy sets;Atanassov;Fuzzy Sets and Systems,1989

5. Two operators on interval-valued intuitionistic fuzzy sets: Part I,mie bulgare des sciences};Burillo;Comptes rendus de l’Acad’e,1994

Cited by 2 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. Research on site combination optimization framework of distributed photovoltaic power station from dual perspectives;Energy Reports;2022-11

2. Entropy-Based Fuzzy TOPSIS Method for Investment Decision Optimization of Large-Scale Projects;Computational Intelligence and Neuroscience;2022-07-18