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  • Broschiertes Buch

This book mainly focuses on some aspects of semigroups and -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 -semigroup have been introduced and studied. Various characterization theorems of -semigroups have been obtained by using the notions of generalized bi-ideals and fuzzy generalized…mehr

Produktbeschreibung
This book mainly focuses on some aspects of semigroups and -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 -semigroup have been introduced and studied. Various characterization theorems of -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 -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 -semigroup have been introduced and studied them directly and via operator semigroups of a -semigroup. Various characterization theorems of semigroups have also been obtained in terms of intuitionistic fuzzy magnified translation and intuitionistic fuzzy points.
Autorenporträt
Dr. Manasi Mandal did her Ph.D. degree from Jadavpur University in the year 2016. She was teaching since 2005. Presently she is serving as an Associate professor. She published more than 15 articles in different international journals and attended various internationals and national conferences. She is guiding many research scholars.