Fuzzy relational calculus :: theory, applications and software (with CD-ROM) /
This 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 c...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey :
World Scientific,
2004.
|
| Schriftenreihe: | Advances in fuzzy systems ;
v. 22. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | This 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. |
| Beschreibung: | 1 online resource (xi, 291 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9812701338 9789812701336 9789812560766 9812560769 |
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| 505 | 0 | |a 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 Equations | |
| 505 | 8 | |a 3.1 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 | |
| 505 | 8 | |a Chapter 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 | |
| 505 | 8 | |a 8.1 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 | |
| 505 | 8 | |a 10.5 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 | |
| 520 | |a This 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. | ||
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| contents | 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 Equations 3.1 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 Chapter 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 8.1 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 10.5 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 |
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| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/22 |
| dewey-search | 511.3/22 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn228169103 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-11T08:36:04Z |
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| language | English |
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| physical | 1 online resource (xi, 291 pages) |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | World Scientific, |
| record_format | marc |
| series | Advances in fuzzy systems ; |
| series2 | Advances in fuzzy systems ; |
| spelling | Peeva, Ketty. Fuzzy relational calculus : theory, applications and software (with CD-ROM) / Ketty Peeva, Yordan Kyosev. New Jersey : World Scientific, 2004. 1 online resource (xi, 291 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Advances in fuzzy systems ; v. 22 Includes bibliographical references and index. Print version record. 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 Equations 3.1 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 Chapter 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 8.1 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 10.5 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 This 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. Fuzzy relational calculus. http://id.loc.gov/authorities/subjects/sh2004007240 Fuzzy mathematics. http://id.loc.gov/authorities/subjects/sh98004034 Calcul des relations floues. Mathématiques floues. MATHEMATICS Set Theory. bisacsh Fuzzy mathematics fast Fuzzy relational calculus fast Kyosev, Yordan. has work: Fuzzy relational calculus (Text) https://id.oclc.org/worldcat/entity/E39PCYvkV8d9JG6kQdM8MMB8fq https://id.oclc.org/worldcat/ontology/hasWork Print version: Peeva, Ketty. Fuzzy relational calculus. New Jersey : World Scientific, 2004 (DLC) 2004059532 Advances in fuzzy systems ; v. 22. http://id.loc.gov/authorities/names/n94081927 |
| spellingShingle | Peeva, Ketty Fuzzy relational calculus : theory, applications and software (with CD-ROM) / Advances in fuzzy systems ; 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 Equations 3.1 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 Chapter 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 8.1 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 10.5 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 Fuzzy relational calculus. http://id.loc.gov/authorities/subjects/sh2004007240 Fuzzy mathematics. http://id.loc.gov/authorities/subjects/sh98004034 Calcul des relations floues. Mathématiques floues. MATHEMATICS Set Theory. bisacsh Fuzzy mathematics fast Fuzzy relational calculus fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh2004007240 http://id.loc.gov/authorities/subjects/sh98004034 |
| title | Fuzzy relational calculus : theory, applications and software (with CD-ROM) / |
| title_auth | Fuzzy relational calculus : theory, applications and software (with CD-ROM) / |
| title_exact_search | Fuzzy relational calculus : theory, applications and software (with CD-ROM) / |
| title_full | Fuzzy relational calculus : theory, applications and software (with CD-ROM) / Ketty Peeva, Yordan Kyosev. |
| title_fullStr | Fuzzy relational calculus : theory, applications and software (with CD-ROM) / Ketty Peeva, Yordan Kyosev. |
| title_full_unstemmed | Fuzzy relational calculus : theory, applications and software (with CD-ROM) / Ketty Peeva, Yordan Kyosev. |
| title_short | Fuzzy relational calculus : |
| title_sort | fuzzy relational calculus theory applications and software with cd rom |
| title_sub | theory, applications and software (with CD-ROM) / |
| topic | Fuzzy relational calculus. http://id.loc.gov/authorities/subjects/sh2004007240 Fuzzy mathematics. http://id.loc.gov/authorities/subjects/sh98004034 Calcul des relations floues. Mathématiques floues. MATHEMATICS Set Theory. bisacsh Fuzzy mathematics fast Fuzzy relational calculus fast |
| topic_facet | Fuzzy relational calculus. Fuzzy mathematics. Calcul des relations floues. Mathématiques floues. MATHEMATICS Set Theory. Fuzzy mathematics Fuzzy relational calculus |
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