Fuzzy algebraic hyperstructures an introduction / [electronic resource] :

• 作者： Davvaz, Bijan.
• 其他作者：
  • Cristea, Irina.
  • SpringerLink (Online service)
• 其他題名：
  • Studies in fuzziness and soft computing
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Studies in fuzziness and soft computingv.321
• 主題： Fuzzy sets , Fuzzy mathematics , Engineering , Computational intelligence , General Algebraic Systems. , Symbolic and Algebraic Manipulation.
• ISBN： 9783319147628 (electronic bk.) 、 9783319147611 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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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