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 firs...
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2015
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oai:scholar.dlu.edu.vn:DLU123456789-586882023-11-11T06:18:24Z Fuzzy Algebraic Hyperstructures An Introduction Davvaz, Bijan Cristea, Irina Fuzzy sets Fuzzy mathematics General Algebraic Systems 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. 2015-10-02T01:50:50Z 2015-10-02T01:50:50Z 2015 Book 978-3-319-14762-8 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58688 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Fuzzy sets Fuzzy mathematics General Algebraic Systems |
| spellingShingle |
Fuzzy sets Fuzzy mathematics General Algebraic Systems Davvaz, Bijan Cristea, Irina Fuzzy Algebraic Hyperstructures An Introduction |
| description |
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. |
| format |
Book |
| author |
Davvaz, Bijan Cristea, Irina |
| author_facet |
Davvaz, Bijan Cristea, Irina |
| author_sort |
Davvaz, Bijan |
| title |
Fuzzy Algebraic Hyperstructures
An Introduction |
| title_short |
Fuzzy Algebraic Hyperstructures
An Introduction |
| title_full |
Fuzzy Algebraic Hyperstructures
An Introduction |
| title_fullStr |
Fuzzy Algebraic Hyperstructures
An Introduction |
| title_full_unstemmed |
Fuzzy Algebraic Hyperstructures
An Introduction |
| title_sort |
fuzzy algebraic hyperstructures
an introduction |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58688 |
| _version_ |
1819810050049310720 |