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Study of Gamma Semigroups via its Operator Semigroups in terms of\n Atanassov's Intuitionistic Fuzzy Ideals

2011/01/16 by Sujit Kumar Sardar, Sardar, Sujit Kumar, Samit Kumar Majumder +3
Computer Science · Decision Sciences · #20N20 #FOS: Mathematics #Fuzzy Logic and Control Systems #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #Multi-Criteria Decision Making

paper · pdf · doi:10.48550/arxiv.1101.3081

openalex publication_date 2011/01/16 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

In this paper some fundamental relationships of a gamma semigroup and its\noperator semigroups in terms of intuitionistic fuzzy subsets, intuitionistic\nfuzzy ideals, intuitionistic fuzzy prime(semiprime) ideals, intuitionistic\nfuzzy ideal extensions are obtained. These are then used to obtain some\nimportant characterization theorems of gamma semigroups in terms of\nintuitionistic fuzzy subsets so as to highlight the role of operator semigroups\nin the study of gamma semigroups in terms of intuitionistic fuzzy subsets.\n

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