Overview
- Makes readers familiar with fundamentals of fuzzy algebraic hyperstructures
- Presents several connections between hypergroups and fuzzy sets
- Written by experts in the field
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 321)
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Table of contents (5 chapters)
Keywords
About this book
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.
Reviews
“The book is written as an introduction to fuzzy algebraic hyperstructures. … The book could be useful to researchers and students.” (Mirela Ştefănescu, zbMATH 1321.08003, 2015)
Authors and Affiliations
Bibliographic Information
Book Title: Fuzzy Algebraic Hyperstructures
Book Subtitle: An Introduction
Authors: Bijan Davvaz, Irina Cristea
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-3-319-14762-8
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-14761-1Published: 05 February 2015
Softcover ISBN: 978-3-319-38653-9Published: 06 October 2016
eBook ISBN: 978-3-319-14762-8Published: 23 January 2015
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: X, 242
Number of Illustrations: 1 b/w illustrations
Topics: Computational Intelligence, General Algebraic Systems, Symbolic and Algebraic Manipulation