國立虎尾科技大學 |

Fuzzy Algebraic Hyperstructures = An Introduction /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Fuzzy Algebraic Hyperstructures/ by Bijan Davvaz, Irina Cristea.
Reminder of title:	An Introduction /
Author:	Davvaz, Bijan.
other author:	Cristea, Irina.
Description:	X, 242 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Computational intelligence. -
Online resource:	https://doi.org/10.1007/978-3-319-14762-8
ISBN:	9783319147628

Fuzzy Algebraic Hyperstructures = An Introduction /
Davvaz, Bijan.

Fuzzy Algebraic HyperstructuresAn Introduction /[electronic resource] :by Bijan Davvaz, Irina Cristea. - 1st ed. 2015. - X, 242 p. 1 illus.online resource. - Studies in Fuzziness and Soft Computing,3211434-9922 ;. - Studies in Fuzziness and Soft Computing,319.

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

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

568984
Computational intelligence.

LC Class. No.: Q342

Dewey Class. No.: 006.3

Fuzzy Algebraic Hyperstructures = An Introduction /
LDR:02595nam a22004095i 4500 001 970445
003 DE-He213
005 20200630040242.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783319147628 $9 978-3-319-14762-8
024 7 $a 10.1007/978-3-319-14762-8 $2 doi
035 $a 978-3-319-14762-8
050 4 $a Q342
072 7 $a UYQ $2 bicssc
072 7 $a TEC009000 $2 bisacsh
072 7 $a UYQ $2 thema
082 0 4 $a 006.3 $2 23
100 1 $a Davvaz, Bijan. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1065836
245 1 0 $a Fuzzy Algebraic Hyperstructures $h [electronic resource] : $b An Introduction / $c by Bijan Davvaz, Irina Cristea.
250 $a 1st ed. 2015.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a X, 242 p. 1 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Studies in Fuzziness and Soft Computing, $x 1434-9922 ; $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.
650 0 $a Computational intelligence. $3 568984
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Computer science—Mathematics. $3 1253519
650 1 4 $a Computational Intelligence. $3 768837
650 2 4 $a General Algebraic Systems. $3 672227
650 2 4 $a Symbolic and Algebraic Manipulation. $3 669944
700 1 $a Cristea, Irina. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1065837
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319147635
776 0 8 $i Printed edition: $z 9783319147611
776 0 8 $i Printed edition: $z 9783319386539
830 0 $a Studies in Fuzziness and Soft Computing, $x 1434-9922 ; $v 319 $3 1253810
856 4 0 $u https://doi.org/10.1007/978-3-319-14762-8
912 $a ZDB-2-ENG
912 $a ZDB-2-SXE
950 $a Engineering (SpringerNature-11647)
950 $a Engineering (R0) (SpringerNature-43712)