MARC record from Internet Archive

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008 180219s2000 flu ob 001 0 eng d
035 $a(OCoLC)on1035409916
035 $a(NNC)16637967
040 $aYDX$beng$epn$cYDX$dEBLCP$dOCLCO$dCRCPR$dN$T$dNLE$dUKMGB$dOTZ$dYDX$dTYFRS$dAU@$dUKAHL$dOCLCQ$dK6U$dOCLCO$dNLW$dOCLCO
015 $aGBB892215$2bnb
016 7 $a018866040$2Uk
019 $a1021290256$a1051425291$a1065315920$a1274635411
020 $a9781482273977$q(electronic bk.)
020 $a1482273977$q(electronic bk.)
020 $a9781420041958$q(electronic bk.)
020 $a1420041959$q(electronic bk.)
020 $z0849305896
020 $z9780849305894
024 7 $a10.1201/9781482273977$2doi
035 $a(OCoLC)1035409916$z(OCoLC)1021290256$z(OCoLC)1051425291$z(OCoLC)1065315920$z(OCoLC)1274635411
037 $aTANDF_377645$bIngram Content Group
050 4 $aQA248.5.D86 2000
072 7 $aMAT$x000000$2bisacsh
072 7 $aUB$2bicssc
082 04 $a511.3/22
049 $aZCUA
100 1 $aDumitrescu, D.$q(Dumitru),$d1949-
245 10 $aFuzzy sets and their application to clustering and training /$cD. Dumitrescu, B. Lazzerini, L.C. Jain.
260 $aBoca Raton, FL :$bCRC Press,$c2000.
300 $a1 online resource
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 0 $aInternational Series on Computational Intelligence
505 0 $aCover; Half Title; Series Page; Title Page; Copyright Page; Dedication; Acknowledgments; Preface; Table of Contents; I Basic aspects of fuzzy set theory; 1 Fuzzy Sets; 1.1 Introduction; 1.2 Fuzzy sets and fuzzy points; 1.2.1 Basic definitions; 1.2.2 Fuzzy points. Level sets of a fuzzy set; 1.2.3 Fuzzy points and the inclusion relation; 1.3 Axioms for operations on fuzzy sets; 1.3.1 Basic requirements for set operator; 1.3.2 Axioms for the set operators; 1.4 Triangular norms and conorm; 1.4.1 Definition of t-norms. Archimedean t-norms; 1.4.2 Definition of t-conorms. Archimedean t-conorms
505 8 $a1.4.3 Pseudo-inverse and additive generators1.4.4 Frank's fundamental family of t-norms and t-conorms; 1.4.5 Other families oft-norms and t-conorms; 1.4.6 Relationship between Frank's family and other families; 1.4.7 Partial order relation for t-norms and t-conorms; 1.5 Ordinal sums; 1.5.1 Definition of ordinal sums; 1.5.2 Basic results on ordinal sums; 1.5.3 Frank's theorems; 1.6 Min and max operators for intersection and union; 1.6.1 Set operations with min and max; 1.6.2 Results on the unicity of min and max operators; 1. 7 Fuzzy complement; 1. 7.1 Axiomatic definition of fuzzy complement
505 8 $a1.7.2 Generator of a complement1. 7.3 Examples of complements and their generators; 1.7.4 C-duality; 1.7.5 Equilibrium point of a complement; 1.7.5.1 Equilibrium point; 1.7.5.2 Dual point; References and Bibliography; 2 Properties of fuzzy set operations. Disjointness and fuzzy partitions; 2.1 Introduction; 2.2 Properties of fuzzy set operations; 2.2.1 Properties of set operations induced by To1, So; 2.2.2 Properties of set operations induced by T ∞ , B∞; 2.2.3 Set operations induced by arbitrary connectives T, S; 2.3 Disjoint fuzzy sets and; 2.3.1 Disjointness of two fuzzy sets
505 8 $a2.3.2 Uniqueness of T∞ and 8∞2.3.4 Fuzzy partitions and Ruspini's condition; 2.4 Disjoint families. Disjoint sequences of fuzzy sets; 2.5 Fuzzy n-partitions of fuzzy sets; 2.6 Refinement relation for fuzzy partitions; 2.6.1 Refinement relation; 2.6.2 Properties of refinement relation; 2. 7 Algebraic join of fuzzy partitions; 2.7.1 Algebraic join and refinement relation; 2.7.2 Algebraic join and supremum; References and bibliography; 3 Algebraic properties of the families of fuzzy sets; 3.1 Introduction; 3.2 Posets and lattices; 3.3 Lattice structure of L(X); 3.4 MV -algebras
505 8 $a3.4.1 Definition of an MV -algebra3.4.2 Examples of MV -algebras; 3.5 Residuated lattices; 3.5.1 Residuated lattice concept; 3.5.2 Examples of residuated lattices; 3.6 Regular basic triples; 3.7 Matching operator as; 3.7.1 Matching operator; 3.7.2 Matching operator as a residuated; 3.7.3 Residuated lattice generated by a; 3.8 Some concluding remarks; References and Bibliography; 4 Metric concepts for fuzzy sets; 4.1 Introduction; 4. 2 Basic notions; 4.2.1 Distance between classical sets; 4.2.2 Distance between fuzzy sets; 4.2.2.1 Definition of distance between fuzzy sets
504 $aIncludes bibliographical references (pages 599-600) and index.
520 1 $a"Fuzzy Sets and their Application to Clustering & Training offers a comprehensive introduction to fuzzy set theory, focused on the concepts and results needed for training and clustering applications. It provides a unified mathematical framework for fuzzy classification and clustering, a methodology for developing training and classification methods, and a general method for obtaining a variety of fuzzy clustering algorithms."--Jacket.
506 1 $aLegal Deposit;$cOnly available on premises controlled by the deposit library and to one user at any one time;$eThe Legal Deposit Libraries (Non-Print Works) Regulations (UK).$5WlAbNL
540 $aRestricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.$5WlAbNL
650 0 $aFuzzy sets.
650 0 $aCluster analysis.
650 6 $aEnsembles flous.
650 6 $aClassification automatique (Statistique)
650 7 $aMATHEMATICS$xGeneral.$2bisacsh
650 7 $aCluster analysis.$2fast$0(OCoLC)fst00864976
650 7 $aFuzzy sets.$2fast$0(OCoLC)fst00936812
655 0 $aElectronic books.
655 4 $aElectronic books.
700 1 $aLazzerini, Beatrice,$d1953-
700 1 $aJain, L. C.
776 08 $iPrint version:$aDumitrescu, D. (Dumitru), 1949-$tFuzzy sets and their application to clustering and training.$dBoca Raton, FL : CRC Press, 2000$z0849305896$z9780849305894$w(DLC) 99088763$w(OCoLC)43050210
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16637967$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS