Some Aspects of Fuzzy Algebraic Structures - Couverture souple

Rahman, Saifur; Saikia, Helen K.

 
9783639702200: Some Aspects of Fuzzy Algebraic Structures
Couverture souple
ISBN 10 : 3639702204 ISBN 13 : 9783639702200
Editeur : Scholars' Press, 2013

Synopsis

This book deals with a comprehensive study of fuzzy algebraic structures. The objective of this book is to investigate fuzzy aspects of some algebraic structures. We attempt to study algebraic structures like modules, rings, hemirings in fuzzy and intuitionistic fuzzy setting. Small submodules of modules play a vital role in structure theorem. Study of fuzzy aspects of small submodules motivates us to study the concepts like fuzzy small epimorphism, fuzzy co-essential extension, Jacobson L-radical, fuzzy hollow submodules. The introduction of fuzzy point and neighbourhood relations leads to a new direction of research on fuzzy algebraic structure generalizing the conventional notion of studies. t - norms play a crucial role in several areas of mathematics and computer science. These studies motivate us to define fuzzy submodule with respect a t-norm which is based on neighbourhood relation. As an immediate consequence of degree of belongs to in fuzzy set, degree of not belongs to arises. This concept generalizes the concept of fuzzy set to intuitionistic fuzzy sets. These concepts inspire us to study about fuzzy modules, fuzzy rings and ideals, fuzzy hemirings intuitionistically.

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

Présentation de l'éditeur

This book deals with a comprehensive study of fuzzy algebraic structures. The objective of this book is to investigate fuzzy aspects of some algebraic structures. We attempt to study algebraic structures like modules, rings, hemirings in fuzzy and intuitionistic fuzzy setting. Small submodules of modules play a vital role in structure theorem. Study of fuzzy aspects of small submodules motivates us to study the concepts like fuzzy small epimorphism, fuzzy co-essential extension, Jacobson L-radical, fuzzy hollow submodules. The introduction of fuzzy point and neighbourhood relations leads to a new direction of research on fuzzy algebraic structure generalizing the conventional notion of studies. t - norms play a crucial role in several areas of mathematics and computer science. These studies motivate us to define fuzzy submodule with respect a t-norm which is based on neighbourhood relation. As an immediate consequence of degree of belongs to in fuzzy set, degree of not belongs to arises. This concept generalizes the concept of fuzzy set to intuitionistic fuzzy sets. These concepts inspire us to study about fuzzy modules, fuzzy rings and ideals, fuzzy hemirings intuitionistically.

Biographie de l'auteur

Dr. Rahman is an assistant professor in mathematics, Rajiv Gandhi University, Arunachal Pradesh, India. He did M. Tech. from Tezpur University, Tezpur, India and PhD degree from Gauhati University, Guwahati, India. Dr. Saikia is a professor in Mathematics, Gauhati University. Their area of interest are algebra, fuzzy sets and logic's, cryptography.

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

Éditeur
Scholars' Press
Date d'édition
2013
Langue
anglais
ISBN 10 
3639702204
ISBN 13 
9783639702200
Reliure
Broché
Nombre de pages
172
Coordonnées du fabricant
non disponible
Personne responsable
non disponible