LEADER 03799nam 22006375 450 001 9910483395303321 005 20200701233051.0 010 $a3-030-15305-3 024 7 $a10.1007/978-3-030-15305-2 035 $a(CKB)4100000007810251 035 $a(DE-He213)978-3-030-15305-2 035 $a(MiAaPQ)EBC5940982 035 $a(PPN)243768737 035 $a(EXLCZ)994100000007810251 100 $a20190319d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDiscrete Fuzzy Measures $eComputational Aspects /$fby Gleb Beliakov, Simon James, Jian-Zhang Wu 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XIV, 245 p. 44 illus., 38 illus. in color.) 225 1 $aStudies in Fuzziness and Soft Computing,$x1434-9922 ;$v382 311 $a3-030-15304-5 320 $aIncludes bibliographical references and indexes. 327 $aIntroduction -- Types of Fuzzy Measures -- Value and Interaction Indices -- Representations -- Fuzzy Integrals -- Symmetric Fuzzy Measures: OWA -- k?order Fuzzy Measures and k?order Aggregation Functions -- Learning Fuzzy Measures -- Index. 330 $aThis book addresses computer scientists, IT specialists, mathematicians, knowledge engineers and programmers, who are engaged in research and practice of multicriteria decision making. Fuzzy measures, also known as capacities, allow one to combine degrees of preferences, support or fuzzy memberships into one representative value, taking into account interactions between the inputs. The notions of mutual reinforcement or redundancy are modeled explicitly through coefficients of fuzzy measures, and fuzzy integrals, such as the Choquet and Sugeno integrals combine the inputs. Building on previous monographs published by the authors and dealing with different aspects of aggregation, this book especially focuses on the Choquet and Sugeno integrals. It presents a number of new findings concerning computation of fuzzy measures, learning them from data and modeling interactions. The book does not require substantial mathematical background, as all the relevant notions are explained. It is intended as concise, timely and self-contained guide to the use of fuzzy measures in the field of multicriteria decision making. 410 0$aStudies in Fuzziness and Soft Computing,$x1434-9922 ;$v382 606 $aComputational intelligence 606 $aData mining 606 $aOperations research 606 $aManagement science 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aData Mining and Knowledge Discovery$3https://scigraph.springernature.com/ontologies/product-market-codes/I18030 606 $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024 615 0$aComputational intelligence. 615 0$aData mining. 615 0$aOperations research. 615 0$aManagement science. 615 14$aComputational Intelligence. 615 24$aData Mining and Knowledge Discovery. 615 24$aOperations Research, Management Science. 676 $a515.42 676 $a515.42 700 $aBeliakov$b Gleb$4aut$4http://id.loc.gov/vocabulary/relators/aut$0760797 702 $aJames$b Simon$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aWu$b Jian-Zhang$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483395303321 996 $aDiscrete Fuzzy Measures$91912498 997 $aUNINA