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- Author: Manasi Mandal
- Publisher: Scholars' Press
- ISBN-10: 6138949412
- ISBN-13: 9786138949411
- Format: 15.2 x 22.9 x 1 cm, softcover
- Language: English
- SAVE -10% with code: EXTRA
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Description
This book mainly focuses on some aspects of semigroups and Γ-semigroups related with different ideals as well as their various generalizations including fuzzyfication and intuitionistic fuzzyfication. The notions of characteristic ideals, fuzzy characteristic ideals, generalized bi-ideals, fuzzy generalized bi-ideals, intuitionistic fuzzy generalized bi-ideals, radicals of fuzzy ideals and fuzzy primary ideals of a Γ-semigroup have been introduced and studied. Various characterization theorems of Γ-semigroups have been obtained by using the notions of generalized bi-ideals and fuzzy generalized bi-ideals. The concepts of ideals, prime ideals, semiprime ideals in Γ-semigroups have been generalized in terms of Atanassov's intuitionistic fuzzy subsets. Also the notions of intuitionistic fuzzy ideal extension in a semigroup and a Γ-semigroup have been introduced and studied them directly and via operator semigroups of a Γ-semigroup. Various characterization theorems of semigroups have also been obtained in terms of intuitionistic fuzzy magnified translation and intuitionistic fuzzy points.
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- Author: Manasi Mandal
- Publisher: Scholars' Press
- ISBN-10: 6138949412
- ISBN-13: 9786138949411
- Format: 15.2 x 22.9 x 1 cm, softcover
- Language: English English
This book mainly focuses on some aspects of semigroups and Γ-semigroups related with different ideals as well as their various generalizations including fuzzyfication and intuitionistic fuzzyfication. The notions of characteristic ideals, fuzzy characteristic ideals, generalized bi-ideals, fuzzy generalized bi-ideals, intuitionistic fuzzy generalized bi-ideals, radicals of fuzzy ideals and fuzzy primary ideals of a Γ-semigroup have been introduced and studied. Various characterization theorems of Γ-semigroups have been obtained by using the notions of generalized bi-ideals and fuzzy generalized bi-ideals. The concepts of ideals, prime ideals, semiprime ideals in Γ-semigroups have been generalized in terms of Atanassov's intuitionistic fuzzy subsets. Also the notions of intuitionistic fuzzy ideal extension in a semigroup and a Γ-semigroup have been introduced and studied them directly and via operator semigroups of a Γ-semigroup. Various characterization theorems of semigroups have also been obtained in terms of intuitionistic fuzzy magnified translation and intuitionistic fuzzy points.
Reviews