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035   $a(DE-He213)978-3-319-14762-8
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100   $a20150123d2015      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aFuzzy Algebraic Hyperstructures $eAn Introduction /$fby Bijan Davvaz, Irina Cristea
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (X, 242 p. 1 illus.) 
225 1 $aStudies in Fuzziness and Soft Computing,$x1434-9922 ;$v321
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-14761-7 
320   $aincludes bibliographical references and index.
327   $aFundamentals of Algebraic (Hyper)Structures -- Fuzzy Polygroups -- Fuzzy Hv-Subgroups of Hv-Groups -- Hv-Rings (hyperrings) and Hv-Ideal -- Connections Between Hypergroups And Fuzzy Sets.
330   $aThis book is intended as an introduction to fuzzy algebraic hyperstructures. As the first in its genre, it includes a number of topics, most of which reflect the authors? past research and thus provides a starting point for future research directions. The book is organized in five chapters. The first chapter introduces readers to the basic notions of algebraic structures and hyperstructures. The second covers fuzzy sets, fuzzy groups and fuzzy polygroups. The following two chapters are concerned with the theory of fuzzy Hv-structures: while the third chapter presents the concept of fuzzy Hv-subgroup of Hv-groups, the fourth covers the theory of fuzzy Hv-ideals of Hv-rings. The final chapter discusses several connections between hypergroups and fuzzy sets, and includes a study on the association between hypergroupoids and fuzzy sets endowed with two membership functions. In addition to providing a reference guide to researchers, the book is also intended as textbook for undergraduate and graduate students.
410  0$aStudies in Fuzziness and Soft Computing,$x1434-9922 ;$v321
606   $aComputational intelligence
606   $aAlgebra
606   $aComputer science?Mathematics
606   $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014
606   $aGeneral Algebraic Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M1106X
606   $aSymbolic and Algebraic Manipulation$3https://scigraph.springernature.com/ontologies/product-market-codes/I17052
615  0$aComputational intelligence.
615  0$aAlgebra.
615  0$aComputer science?Mathematics.
615 14$aComputational Intelligence.
615 24$aGeneral Algebraic Systems.
615 24$aSymbolic and Algebraic Manipulation.
676   $a511.322
700   $aDavvaz$b Bijan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0739795
702   $aCristea$b Irina$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299684703321
996   $aFuzzy Algebraic Hyperstructures$92533459
997   $aUNINA