LEADER 04463nam 22006855 450 001 9910254257803321 005 20200705160127.0 010 $a3-319-28808-3 024 7 $a10.1007/978-3-319-28808-6 035 $a(CKB)3710000000579346 035 $a(SSID)ssj0001616615 035 $a(PQKBManifestationID)16349222 035 $a(PQKBTitleCode)TC0001616615 035 $a(PQKBWorkID)14922454 035 $a(PQKB)10374065 035 $a(DE-He213)978-3-319-28808-6 035 $a(MiAaPQ)EBC5576485 035 $z(PPN)258847646 035 $a(PPN)191705691 035 $a(EXLCZ)993710000000579346 100 $a20160111d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aOn Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory$b[electronic resource] /$fedited by Susanne Saminger-Platz, Radko Mesiar 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XII, 275 p. 20 illus.) 225 1 $aStudies in Fuzziness and Soft Computing,$x1434-9922 ;$v336 300 $aIncludes index. 311 $a3-319-28807-5 327 $aFuzzy Logic and the Linz Seminar:Themes and some Personal Reminiscences -- How I Saw and How I See Fuzzy Sets -- Modules in the Category -- A Geometric Approach to MV-algebras -- On the Equational Characterization of Continuous t-norms -- The Semantics of Fuzzy Logics: Two Approaches to Finite Tomonoids -- Structure of Uninorms with Continuous Diagonal Functions -- The Notions of Overlap and Grouping Functions -- Asymmetric Copulas and Their Application in Design of Experiments -- Copulæ of Processes Related to the Brownian Motion: a Brief Survey -- Extensions of Capacities -- Multi-source Information Fusion Using Measure Representations -- Bases and Transforms of Set Functions -- Conditioning for Boolean Subsets, Indicator Functions, and Fuzzy Subsets -- Multivalued Functions Integration from Additive to Arbitrary Non-Negative Set Function. 330 $aThe book is a collection of contributions by leading experts, developed around traditional themes discussed at the annual Linz Seminars on Fuzzy Set Theory. The different chapters have been written by former PhD students, colleagues, co-authors and friends of Peter Klement, a leading researcher and the organizer of the Linz Seminars on Fuzzy Set Theory. The book also includes advanced findings on topics inspired by Klement?s research activities, concerning copulas, measures and integrals, as well as aggregation problems. Some of the chapters reflect personal views and controversial aspects of traditional topics, while others deal with deep mathematical theories, such as the algebraic and logical foundations of fuzzy set theory and fuzzy logic. Originally thought as an homage to Peter Klement, the book also represents an advanced reference guide to the mathematical theories related to fuzzy logic and fuzzy set theory with the potential to stimulate important discussions on new research directions in the field. 410 0$aStudies in Fuzziness and Soft Computing,$x1434-9922 ;$v336 606 $aComputational intelligence 606 $aMathematical logic 606 $aAlgebra 606 $aOrdered algebraic structures 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005 606 $aOrder, Lattices, Ordered Algebraic Structures$3https://scigraph.springernature.com/ontologies/product-market-codes/M11124 615 0$aComputational intelligence. 615 0$aMathematical logic. 615 0$aAlgebra. 615 0$aOrdered algebraic structures. 615 14$aComputational Intelligence. 615 24$aMathematical Logic and Foundations. 615 24$aOrder, Lattices, Ordered Algebraic Structures. 676 $a511.322 702 $aSaminger-Platz$b Susanne$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMesiar$b Radko$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254257803321 996 $aOn Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory$91547532 997 $aUNINA