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SOME TOPICS IN FUZZY ALGEBRA: SOME TOPICS IN FUZZY ALGEBRA - Couverture souple

MAJUMDER, SAMIT KUMAR

 
9783639323948: SOME TOPICS IN FUZZY ALGEBRA: SOME TOPICS IN FUZZY ALGEBRA
Couverture souple
ISBN 10 : 3639323947 ISBN 13 : 9783639323948
Editeur : VDM Verlag Dr. Müller, 2011

Synopsis

The purpose of this thesis is to investigate some aspects of fuzzification of semigroups, partially ordered semigroups and gamma semigroups. In this thesis the concepts of fuzzy subsemigroups, fuzzy bi-ideals, fuzzy (1,2)-ideals, fuzzy quasi ideals, fuzzy ideals, fuzzy interior ideals, fuzzy prime and fuzzy semiprime ideals, cartesian product of fuzzy ideals, fuzzy prime ideals and fuzzy semiprime ideals, fuzzy ideal extensions in a gamma semigrouop have been introduced. These concepts are also studied via operator semigroups of a gamma semigroup. In this thesis some results of gamma semigroups have been rediscovered in terms of fuzzy subsets. Here some important characterization theorems in terms of fuzzy subsets have been obtained. It is important to note here that in the study of gamma semigroups in terms of fuzzy subsets operator semigroups play a crucial role.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The purpose of this thesis is to investigate some aspects of fuzzification of semigroups, partially ordered semigroups and gamma semigroups. In this thesis the concepts of fuzzy subsemigroups, fuzzy bi-ideals, fuzzy (1,2)-ideals, fuzzy quasi ideals, fuzzy ideals, fuzzy interior ideals, fuzzy prime and fuzzy semiprime ideals, cartesian product of fuzzy ideals, fuzzy prime ideals and fuzzy semiprime ideals, fuzzy ideal extensions in a gamma semigrouop have been introduced. These concepts are also studied via operator semigroups of a gamma semigroup. In this thesis some results of gamma semigroups have been rediscovered in terms of fuzzy subsets. Here some important characterization theorems in terms of fuzzy subsets have been obtained. It is important to note here that in the study of gamma semigroups in terms of fuzzy subsets operator semigroups play a crucial role.

Biographie de l'auteur

M.Sc from University of Calcutta,INDIA in 1997 M.Phil from Annamalai University, INDIA in 2007 Ph.D from Jadavpur University, INDIA in 2010

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2011
Langue
anglais
ISBN 10 
3639323947
ISBN 13 
9783639323948
Reliure
Broché
Nombre de pages
152
Coordonnées du fabricant
non disponible
Personne responsable
non disponible