03752nam 22006975 450 991029968470332120200630040242.03-319-14762-510.1007/978-3-319-14762-8(CKB)3710000000343666(SSID)ssj0001424361(PQKBManifestationID)11778061(PQKBTitleCode)TC0001424361(PQKBWorkID)11363603(PQKB)10792482(DE-He213)978-3-319-14762-8(MiAaPQ)EBC6296547(MiAaPQ)EBC5586586(Au-PeEL)EBL5586586(OCoLC)902803956(PPN)183520165(EXLCZ)99371000000034366620150123d2015 u| 0engurnn|008mamaatxtccrFuzzy Algebraic Hyperstructures An Introduction /by Bijan Davvaz, Irina Cristea1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (X, 242 p. 1 illus.) Studies in Fuzziness and Soft Computing,1434-9922 ;321Bibliographic Level Mode of Issuance: Monograph3-319-14761-7 includes bibliographical references and index.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.Studies in Fuzziness and Soft Computing,1434-9922 ;321Computational intelligenceAlgebraComputer science—MathematicsComputational Intelligencehttps://scigraph.springernature.com/ontologies/product-market-codes/T11014General Algebraic Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/M1106XSymbolic and Algebraic Manipulationhttps://scigraph.springernature.com/ontologies/product-market-codes/I17052Computational intelligence.Algebra.Computer science—Mathematics.Computational Intelligence.General Algebraic Systems.Symbolic and Algebraic Manipulation.511.322Davvaz Bijanauthttp://id.loc.gov/vocabulary/relators/aut739795Cristea Irinaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299684703321Fuzzy Algebraic Hyperstructures2533459UNINA