Fuzzy Algebraic Hyperstructures: An Introduction - Couverture rigide

Davvaz, Bijan; Cristea, Irina

Couverture rigide

ISBN 10 : 3319147617 ISBN 13 : 9783319147611

Editeur : Springer International Publishing AG, 2015

Synopsis

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 undergraduate and graduate students.

Détails de l'édition

• Éditeur: Springer International Publishing AG
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 3319147617
• ISBN 13: 9783319147611
• Reliure: Relié
• Nombre de pages: 252
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Tiergartenstr. 17; Heidelberg; 69121; Allemagne