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Fuzzy algebraic hyperstructuresan in...

Cristea, Irina.

Fuzzy algebraic hyperstructuresan introduction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fuzzy algebraic hyperstructuresby Bijan Davvaz, Irina Cristea.
其他題名:	an introduction /
作者:	Davvaz, Bijan.
其他作者:	Cristea, Irina.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	x, 242 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Fuzzy sets.
電子資源:	http://dx.doi.org/10.1007/978-3-319-14762-8
ISBN:	9783319147628 (electronic bk.)

Fuzzy algebraic hyperstructuresan introduction /
Davvaz, Bijan.

Fuzzy algebraic hyperstructuresan introduction /[electronic resource] :by Bijan Davvaz, Irina Cristea. - Cham :Springer International Publishing :2015. - x, 242 p. :ill., digital ;24 cm. - Studies in fuzziness and soft computing,v.3211434-9922 ;. - Studies in fuzziness and soft computing ;v.273..

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.

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 (electronic bk.)

Standard No.: 10.1007/978-3-319-14762-8doiSubjects--Topical Terms:

182529
Fuzzy sets.

LC Class. No.: QA248.5

Dewey Class. No.: 511.3223

Fuzzy algebraic hyperstructuresan introduction /
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520 $a 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.
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