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Fuzzy Algebraic Hyperstructures: An Introduction: 321 (Studies in Fuzziness and Soft Computing) - Hardcover

 
9783319147611: Fuzzy Algebraic Hyperstructures: An Introduction: 321 (Studies in Fuzziness and Soft Computing)
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<P>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.</P>

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Críticas:

“The book is written as an introduction to fuzzy algebraic hyperstructures. ... The book could be useful to researchers and students.” (Mirela Ştefănescu, zbMATH 1321.08003, 2015)

Reseña del editor:

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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  • VerlagSpringer
  • Erscheinungsdatum2015
  • ISBN 10 3319147617
  • ISBN 13 9783319147611
  • EinbandTapa dura
  • Anzahl der Seiten254

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9783319386539: Fuzzy Algebraic Hyperstructures: An Introduction: 321 (Studies in Fuzziness and Soft Computing)

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ISBN 10:  3319386530 ISBN 13:  9783319386539
Verlag: Springer, 2016
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ISBN 10: 3319147617 ISBN 13: 9783319147611
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 undergraduateand graduate students. Artikel-Nr. 9783319147611

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