AN INTRODUCTION TO PYTHAGOREAN FUZZY HYPERIDEALS IN HYPERSEMIGROUPS

As the generalization of intuitionistic fuzzy set, Pythagorean fuzzy set was introduced. It is a pair of membership and non-membership grade where the sum of the squares of membership and non-membership grade should be less than or equal to 1. Pythagorean fuzzy set get more attention to deal with un...

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Published inTWMS journal of applied and engineering mathematics Vol. 13; no. 1; p. 214
Main Authors Subha, V. S, Sharmila, S
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2023
Elman Hasanoglu
Subjects
Decision making
Fuzzy sets
Group theory
Mathematical research
Mathematics
Pythagorean proposition
Set theory
India
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ISSN2146-1147
2146-1147

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Summary:As the generalization of intuitionistic fuzzy set, Pythagorean fuzzy set was introduced. It is a pair of membership and non-membership grade where the sum of the squares of membership and non-membership grade should be less than or equal to 1. Pythagorean fuzzy set get more attention to deal with uncertainity. In this paper we apply Pythagorean fuzzy set in ideal theory of hypersemigroups. We introduce Pythagorean fuzzy left(right) hyperideals in hypersemigroups. We define t--level cut of Pythagorean fuzzy hyperideal is in hypersemigroup. Also we introduce Pythagorean fuzzy interior hyperideals in hypersemigroups and explain it with detailed example. Some theorems and results are also studied. Relation between Pythagorean fuzzy right(left) hyperideal, Pythagorean fuzzy subsemihypergroup and Pythagorean fuzzy interior hyperideal is given. Keywords: Pythagorean fuzzy set, Pythagorean fuzzy hyperideal, Pythagorean fuzzy interior hyperideal. AMS Subject Classification: 03E75, 08A72 20N20.
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ISSN:2146-1147
2146-1147