LEADER 04995nam 2200673Ia 450 001 9910817003603321 005 20240515181826.0 010 $a1-281-89706-X 010 $a9786611897062 010 $a981-270-133-8 035 $a(CKB)1000000000334342 035 $a(EBL)296128 035 $a(OCoLC)437181949 035 $a(SSID)ssj0000160400 035 $a(PQKBManifestationID)11155301 035 $a(PQKBTitleCode)TC0000160400 035 $a(PQKBWorkID)10182025 035 $a(PQKB)11133132 035 $a(MiAaPQ)EBC296128 035 $a(WSP)00000750 035 $a(Au-PeEL)EBL296128 035 $a(CaPaEBR)ebr10173954 035 $a(CaONFJC)MIL189706 035 $a(EXLCZ)991000000000334342 100 $a20040914d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFuzzy relational calculus $etheory, applications and software (with CD-ROM) /$fKetty Peeva, Yordan Kyosev 205 $a1st ed. 210 $aNew Jersey $cWorld Scientific$d2004 215 $a1 online resource (305 p.) 225 1 $aAdvances in fuzzy systems ;$vv. 22 300 $aDescription based upon print version of record. 311 $a981-256-076-9 320 $aIncludes bibliographical references and index. 327 $aPreface; Contents; PART 1 FUZZY RELATIONAL CALCULUS; Chapter 1 Introduction; 1.1 Basic Concepts; 1.2 Images and Compositions; 1.3 Basic Problems in Fuzzy Relational Calculus; 1.4 Aspects in Artificial Intelligence; 1.5 Fuzzy Finite Machines and Fuzzy Algebras; 1.6 Fuzzy Grammars in Syntactic Pattern Recognition; 1.7 Bibliographical Notes; Chapter 2 Fuzzy Relations. Direct Problem Resolution; 2.1 Basic Notions; 2.2 Fuzzy Relations - Compositions and Properties; 2.3 Fuzzy Relations and Membership Matrices; 2.4 Bibliographical Notes; Chapter 3 Fuzzy Relational Equations 327 $a3.1 Inverse Problem Formulation3.2 Fuzzy Linear Equations; 3.3 Fuzzy Linear Systems of Equations; 3.4 Solving Fuzzy Relational Equations; 3.5 Bibliographical Notes; Chapter 4 Fuzzy Relational Inclusions; 4.1 Preliminaries; 4.2 Fuzzy Linear Systems of Inequalities; 4.3 Fuzzy Relational Inclusions; 4.4 Applications in Fuzzy Linear Programming; 4.5 Bibliographical Notes; Chapter 5 Fuzzy Linear Systems - Dual Approach; 5.1 Basic Concepts; 5.2 Solving Fuzzy Linear Systems; 5.3 Fuzzy Relational Equations; 5.4 Dual Approach to Inverse Problem Resolution; 5.5 Bibliographical Notes 327 $aChapter 6 Direct and Inverse Problems in Intuitionistic Fuzzy Relational Calculus6.1 Intuitionistic Fuzzy Relations. Compositions; 6.2 Intuitionistic Fuzzy Matrices. Direct and Inverse Problems; 6.3 Intuitionistic Fuzzy Relational Equations; 6.4 Bibliographical Notes; PART 2 FUZZY RELATIONAL CALCULUS - APPLICATIONS; Chapter 7 L-Fuzzy Finite Machines; 7.1 L-Fuzzy Finite Machines. Behavior; 7.2 Equivalences; 7.3 Reduction and Minimization; 7.4 Intuitionistic Fuzzy Finite Machines; 7.5 Bibliographical Notes; Chapter 8 Fuzzy Languages in Syntactic Pattern Recognition 327 $a8.1 Finite L-Fuzzy Acceptors and Regular L-Fuzzy Languages8.2 Intuitionistic Fuzzy Languages in Syntactic Pattern Recognition; 8.3 Bibliographical Notes; Chapter 9 Applications as Inference Engine; 9.1 Architecture of System with Artificial Intelligence; 9.2 Fuzzy Linear System of Equations as Inference Engine; 9.3 Intuitionistic Fuzzy Linear System as Inference Engine; 9.4 Bibliographical Notes; PART 3 FUZZY RELATIONAL CALCULUS - SOFTWARE; Chapter 10 Software Description; 10.1 Unary Matrix Operations; 10.2 Binary Matrix Operations; 10.3 Compositions; 10.4 Inverse Problem 327 $a10.5 Intuitionistic Fuzzy Relational Calculus10.6 Engineering Examples; PART 4 APPENDICES; Appendix A Solved Samples; Appendix B List of Symbols; Appendix C List of Abbreviations; Bibliography; Index 330 $aThis book examines fuzzy relational calculus theory with applications in various engineering subjects. The scope of the text covers unified and exact methods with algorithms for direct and inverse problem resolution in fuzzy relational calculus. Extensive engineering applications of fuzzy relation compositions and fuzzy linear systems (linear, relational and intuitionistic) are discussed. Some examples of such applications include solutions of equivalence, reduction and minimization problems in fuzzy machines, pattern recognition in fuzzy languages, optimization and inference engines in textil 410 0$aAdvances in fuzzy systems ;$vv. 22. 606 $aFuzzy relational calculus 606 $aFuzzy mathematics 615 0$aFuzzy relational calculus. 615 0$aFuzzy mathematics. 676 $a511.3/22 700 $aPeeva$b Ketty$01633905 701 $aKyosev$b Yordan$0769504 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817003603321 996 $aFuzzy relational calculus$93973891 997 $aUNINA