Rough fermatean fuzzy ideals in semigroups-Reference-Cited by-同舟云学术

Rough fermatean fuzzy ideals in semigroups

Published:2022-04-28 Issue:6 Volume:42 Page:5741-5752
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Khan Faiz Muhammad¹,Bibi Naila¹²,Xin Xiao Long³⁴,Muhsina ¹⁵,Alam Aftab¹

Affiliation:

1. Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhawa, Pakistan

2. Govt, Girls Degree College Khwazakhela Swat, Pakistan

3. School of Science, Xi’an Polytechnic University, Xi’an, China

4. School of Mathematics, Northwest University, Xi’an, China

5. Govt, Girls Degree College Madyan Swat, Pakistan

Abstract

In multiple criteria decision making (MCDM) problem, the decision maker deal with a situation where the sum of membership and non-membership grade of an attributes does not belongs to [0, 1]. To avoid such a situation, we proposed a new type of fuzzy system known as fermatean fuzzy system. More precisely, we presented the notion of fermatean fuzzy ideal theory and rough fermatean fuzzy sets in semigroups. The idea of lower and upper approximation in fermatean fuzzy sets has been initiated. The study has been further extended to rough fermatean fuzzy left(resp. right, interior) ideals in semigroup. Several results related to this notion are determined.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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