Solution of Fuzzy Linear and Non-linear Equations: Concepts of Negative Fuzzy Numbers Using In Linear Fuzzy Equations - Couverture souple

Saha, Goutam Kumar; Shirin, Shapla

 
9783847316671: Solution of Fuzzy Linear and Non-linear Equations: Concepts of Negative Fuzzy Numbers Using In Linear Fuzzy Equations
Couverture souple
ISBN 10 : 3847316672 ISBN 13 : 9783847316671
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

Fuzzy sets are sets whose elements have degrees of membership. Fuzzy set theory was formalized by Professor Lotfi Zadeh at the University of California in 1965 as an extension of the classical notion of set. In classical set theory, the membership of elements in a set is assessed in binary terms according to a bivalent condition an element either belongs or does not belong to the set. Fuzzy sets generalize classical sets are special cases of the membership functions of fuzzy sets, if the latter only take values 0 or 1. Classical bivalent sets are in fuzzy set theory usually called crisp sets. On the other hand fuzzy set is more specified than crisp set. It can take a decision between membership grade 0 to 1, i.e. unit interval [0, 1]. This book attempts to fill the needs of the algorithms of Newton’s method, Fixed-Point Iteration method and Bisection method which are used to solve fuzzy non-linear equations for the linear fuzzy real number. The procedures to obtain solutions of different types of fuzzy linear equations have also been discussed. The book has been outlined into four chapters.

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

Présentation de l'éditeur

Fuzzy sets are sets whose elements have degrees of membership. Fuzzy set theory was formalized by Professor Lotfi Zadeh at the University of California in 1965 as an extension of the classical notion of set. In classical set theory, the membership of elements in a set is assessed in binary terms according to a bivalent condition an element either belongs or does not belong to the set. Fuzzy sets generalize classical sets are special cases of the membership functions of fuzzy sets, if the latter only take values 0 or 1. Classical bivalent sets are in fuzzy set theory usually called crisp sets. On the other hand fuzzy set is more specified than crisp set. It can take a decision between membership grade 0 to 1, i.e. unit interval [0, 1]. This book attempts to fill the needs of the algorithms of Newton’s method, Fixed-Point Iteration method and Bisection method which are used to solve fuzzy non-linear equations for the linear fuzzy real number. The procedures to obtain solutions of different types of fuzzy linear equations have also been discussed. The book has been outlined into four chapters.

Biographie de l'auteur

Goutam Kumar Saha has obtained M.S. degree from the Department of Mathematics, University of Dhaka, Bangladesh and now he is a Lecturer of Department of Mathematics, BUBT. Shapla Shirin is an Associate Professor of Department of Mathematics, University of Dhaka, Bangladesh. Their main topic of interest is Fuzzy Set Theory and its applications.

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

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3847316672
ISBN 13 
9783847316671
Reliure
Broché
Nombre de pages
84
Coordonnées du fabricant
non disponible
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