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Fuzzy Algebraic Hyperstructures : An Introduction / by Bijan Davvaz, Irina Cristea.
- Format:
- Book
- Author/Creator:
- Davvaz, Bijan., Author.
- Cristea, Irina., Author.
- Series:
- Studies in Fuzziness and Soft Computing, 1434-9922 ; 321
- Language:
- English
- Subjects (All):
- Computational intelligence.
- Algebra.
- Computer science—Mathematics.
- Computational Intelligence.
- General Algebraic Systems.
- Symbolic and Algebraic Manipulation.
- Local Subjects:
- Computational Intelligence.
- General Algebraic Systems.
- Symbolic and Algebraic Manipulation.
- Physical Description:
- 1 online resource (X, 242 p. 1 illus.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- includes bibliographical references and index.
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-319-14762-5
- OCLC:
- 902803956
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