Fuzzy Algebraic Hyperstructures An Introduction

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...

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Bibliographic Details
Main Authors Davvaz, Bijan, Cristea, Irina
Format eBook
LanguageEnglish
Published Cham Springer Nature 2015
Springer International Publishing AG
Springer International Publishing
Springer
Edition1
SeriesStudies in Fuzziness and Soft Computing
Subjects
Computational Intelligence
Engineering
Engineering & allied operations
Fuzzy logic
Fuzzy sets
General Algebraic Systems
Hypergroups
Symbolic and Algebraic Manipulation
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Summary: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.
ISBN:9783319147628
3319147625
3319147617
9783319147611
ISSN:1434-9922
1860-0808
DOI:10.1007/978-3-319-14762-8