Picture fuzzy topological spaces and associated continuous functions-Reference-Cited by-同舟云学术

Picture fuzzy topological spaces and associated continuous functions

Published:2022 Issue:8 Volume:7 Page:14840-14861
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Razaq Abdul¹,Masmali Ibtisam²,Garg Harish³,Shuaib Umer⁴

Affiliation:

1. Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan

2. Department of Mathematics, College of Science, Jazan University, Jazan 45142, Saudi Arabia

3. School of Mathematics Thapar Institute of Engineering & Technology, Deemed University, Patiala 147004, Punjab, India

4. Department of Mathematics, Government College University, Faisalabad 38000, Pakistan

Abstract

<abstract> <p>This paper describes a study of picture fuzzy topological spaces. We prove some basic results related to picture fuzzy sets together with the introduction of new notions such as the rank, picture fuzzy base and picture fuzzy sub-base of picture fuzzy topological spaces. With the help of these notions, we present a method to design picture fuzzy topological spaces. Furthermore, we introduce the concept of continuity to picture fuzzy topological spaces and find a necessary and sufficient condition for a picture fuzzy continuous function between two picture fuzzy topological spaces.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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