04998nam 2200661Ia 450 991081700360332120230617040813.01-281-89706-X9786611897062981-270-133-8(CKB)1000000000334342(EBL)296128(OCoLC)437181949(SSID)ssj0000160400(PQKBManifestationID)11155301(PQKBTitleCode)TC0000160400(PQKBWorkID)10182025(PQKB)11133132(MiAaPQ)EBC296128(WSP)00000750 (Au-PeEL)EBL296128(CaPaEBR)ebr10173954(CaONFJC)MIL189706(EXLCZ)99100000000033434220040914d2004 uy 0engur|n|---|||||txtccrFuzzy relational calculus[electronic resource] theory, applications and software (with CD-ROM) /Ketty Peeva, Yordan KyosevNew Jersey World Scientific20041 online resource (305 p.)Advances in fuzzy systems ;v. 22Description based upon print version of record.981-256-076-9 Includes bibliographical references and index.Preface; 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 Equations3.1 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 NotesChapter 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 Recognition8.1 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 Problem10.5 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; IndexThis 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 textilAdvances in fuzzy systems ;v. 22.Fuzzy relational calculusFuzzy mathematicsFuzzy relational calculus.Fuzzy mathematics.511.3/22Peeva Ketty1633905Kyosev Yordan769504MiAaPQMiAaPQMiAaPQBOOK9910817003603321Fuzzy relational calculus3973891UNINA