Rough fermatean fuzzy ideals in semigroups

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 prec...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2022, Vol.42 (6), p.5741-5752
Main Authors: Khan, Faiz Muhammad, Bibi, Naila, Xin, Xiao Long, Muhsina, Alam, Aftab
Format: Article
Language:English
Subjects:
Decision making
Fuzzy sets
Multiple criterion
Semigroups
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Summary: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.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-212162