Inhaltsangabe
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.
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Über die Autorin bzw. den Autor
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.
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 172 pp. Englisch. Bestandsnummer des Verkäufers 9783639702200
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Rahman SaifurDr. 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. S. Bestandsnummer des Verkäufers 4998696
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 172 pp. Englisch. Bestandsnummer des Verkäufers 9783639702200
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