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Fuzzy Algebraic Hyperstructures: An Introduction: Studies in Fuzziness and Soft Computing, cartea 321

Autor Bijan Davvaz, Irina Cristea
en Limba Engleză Hardback – 5 feb 2015
This book is intended as an introduction to fuzzy algebraic hyperstructures. As the first in its genre, it includes a number of topics, most of which reflect the authors’ past research and thus provides a starting point for future research directions. The book is organized in five chapters. The first chapter introduces readers to the basic notions of algebraic structures and hyperstructures. The second covers fuzzy sets, fuzzy groups and fuzzy polygroups. The following two chapters are concerned with the theory of fuzzy Hv-structures: while the third chapter presents the concept of fuzzy Hv-subgroup of Hv-groups, the fourth covers the theory of fuzzy Hv-ideals of Hv-rings. The final chapter discusses several connections between hypergroups and fuzzy sets, and includes a study on the association between hypergroupoids and fuzzy sets endowed with two membership functions. In addition to providing a reference guide to researchers, the book is also intended as textbook for undergraduateand graduate students.
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Specificații

ISBN-13: 9783319147611
ISBN-10: 3319147617
Pagini: 242
Ilustrații: X, 242 p. 1 illus.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.53 kg
Ediția:2015
Editura: Springer International Publishing
Colecția Springer
Seria Studies in Fuzziness and Soft Computing

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Fundamentals of Algebraic (Hyper)Structures.- Fuzzy Polygroups.- Fuzzy Hv-Subgroups of Hv-Groups.- Hv-Rings (hyperrings) and Hv-Ideal.- Connections Between Hypergroups And Fuzzy Sets.

Recenzii

“The book is written as an introduction to fuzzyalgebraic hyperstructures. … The book could be useful to researchers andstudents.” (Mirela Ştefănescu, zbMATH 1321.08003, 2015)

Textul de pe ultima copertă

This book is intended as an introduction to fuzzy algebraic hyperstructures. As the first in its genre, it includes a number of topics, most of which reflect the authors’ past research and thus provides a starting point for future research directions. The book is organized in five chapters. The first chapter introduces readers to the basic notions of algebraic structures and hyperstructures. The second covers fuzzy sets, fuzzy groups and fuzzy polygroups. The following two chapters are concerned with the theory of fuzzy Hv-structures: while the third chapter presents the concept of fuzzy Hv-subgroup of Hv-groups, the fourth covers the theory of fuzzy Hv-ideals of Hv-rings. The final chapter discusses several connections between hypergroups and fuzzy sets, and includes a study on the association between hypergroupoids and fuzzy sets endowed with two membership functions. In addition to providing a reference guide to researchers, the book is also intended as textbook for undergraduateand graduate students.

Caracteristici

Makes readers familiar with fundamentals of fuzzy algebraic hyperstructures Presents several connections between hypergroups and fuzzy sets Written by experts in the field