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On inf -Hesitant Fuzzy Γ -Ideals of Γ -Semigroups
Author(s) -
Pongpun Julatha,
Aiyared Iampan
Publication year - 2022
Publication title -
advances in fuzzy systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.38
H-Index - 19
eISSN - 1687-711X
pISSN - 1687-7101
DOI - 10.1155/2022/9755894
Subject(s) - ideal (ethics) , mathematics , interval (graph theory) , discrete mathematics , algebra over a field , combinatorics , pure mathematics , philosophy , epistemology
The notions of an inf -hesitant fuzzy Γ -ideal and a sup , inf -hesitant fuzzy Γ -ideal, which are a generalization of an interval-valued fuzzy Γ -ideal, of a Γ -semigroup are introduced and some properties are investigated. Characterizations of the notions are provided in terms of sets, fuzzy sets, intuitionistic fuzzy sets, interval-valued fuzzy sets, and hesitant fuzzy sets. Furthermore, characterizations of a Γ -ideal of a Γ -semigroup are given in terms of inf -hesitant and sup , inf -hesitant fuzzy Γ -ideals.

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