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Fuzzy algebraic hyperstructuresan in...

Cristea, Irina.

Fuzzy algebraic hyperstructuresan introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fuzzy algebraic hyperstructuresby Bijan Davvaz, Irina Cristea.
Reminder of title:	an introduction /
Author:	Davvaz, Bijan.
other author:	Cristea, Irina.
Published:	Cham :Springer International Publishing :2015.
Description:	x, 242 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Fuzzy sets.
Online resource:	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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100 1 $a Davvaz, Bijan. $3 713617
245 1 0 $a Fuzzy algebraic hyperstructures $h [electronic resource] : $b an introduction / $c by Bijan Davvaz, Irina Cristea.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a x, 242 p. : $b ill., digital ; $c 24 cm.
490 1 $a Studies in fuzziness and soft computing, $x 1434-9922 ; $v v.321
505 0 $a 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.
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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650 2 4 $a Computational Intelligence. $3 338479
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650 2 4 $a Symbolic and Algebraic Manipulation. $3 273720
700 1 $a Cristea, Irina. $3 713618
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