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Readings in fuzzy sets for intelligent systems /

Readings in Fuzzy Sets for Intelligent Systems.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Dubois, Didier (Editor ), Prade, Henri M. (Editor ), Yager, Ronald R., 1941- (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Mateo, California : Morgan Kaufmann, 1993.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Readings in Fuzzy Sets for Intelligent Systems; Copyright Page; Table of Contents; Acknowledgments; Chapter 1. Introduction; The Emergence of Fuzzy Sets and Possibility Theory; What Fuzzy Sets Are About; Fuzzy Sets Versus PossibilityDistributions; Degrees of Truth and IncompleteInformation; Possibility and Probability; Possibility Theory and Interval Analysis; Fuzzy Relations; Where Are Fuzzy Sets Useful?; Organization of the Readings; Acknowledgments; References; Appendix A:Papers by L.A. Zadeh since 1965; Appendix B: General English Books and Proceedings on Fuzzy Sets.
  • Appendix C: Books on Applications of Fuzzy Sets to Pure MathematicsAppendix D: References on FuzzyHardwares; Chapter 2. Basic Notions in Fuzzy Set Theory; Introduction; Further Readings; FUZZY SETS; NOTATION, TERMINOLOGY, AND BASIC OPERATIONS; THE CONCEPT OF A FUZZY RESTRICTION AND TRANSLATION RULESFOR FUZZY PROPOSITIONS; REFERENCES; BIBLIOGRAPHY; REPRESENTATION THEOREMS FOR FUZZY CONCEPTS; 1 INTRODUCTION; 2 PRELIMINARIES; 3 THE GENERAL REPRESENTATION THEOREM; 4 REPRESENTATION THEOREM FOR L-TOPO-LOGICALSUBSPACES; 5 L-ALGEBRAICSUBSTRUCTURES; 6 CONCLUSIONS; REFERENCES.
  • On Some Logical Connectives for Fuzzy Sets TheoryINTRODUCTION; 1. PRELIMINARIES ON FUZZY CONNECTIVES; 2. ON STRONG NEGATIONS AND DEMORGAN'S LAWS; 3. SOME LOGICAL PROPERTIES OFNONDISTRIBUTIVE CONNECTIVES; 4. FURTHER CHARACTERIZATION OF THECLASSICAL CONNECTIVES; REFERENCES; Symmetric Summation: A Class of Operationson Fuzzy Sets; I. COMPLEMENTARY SETS; II. SET COMBINATION; III. SYMMETRIC SUMS; IV. EXAMPLES; V. SUMMARY; ACKNOWLEDGMENT; REFERENCES; On Ordered Weighted Averaging AggregationOperators in Multicriteria Decisionmaking; INTRODUCTION; FORMULATING OF THE AGGREGATION PROBLEM.
  • GENERAL ANDING AND ORING OPERATORSOWA OPERATORS; PROPERTIES OF OWA OPERATORS; QUANTIFIERS AND OWA OPERATORS; MEASURE OF ANDNESS AND ORNESS
  • IN A GENERAL SETTING; BUILDING CONSISTENT OWA OPERATORS; INCLUDING UNEQUAL IMPORTANCES; CONCLUSION; REFERENCES; FUZZY POWER SETS AND FUZZY IMPLICATIONOPERATORS; 1. Towards a theory of fuzzy power sets; 2. Comparative semantics of fuzzy implication operators; 3. Height, plinth and crispness of fuzzy sets; 4. Fuzzy set-inclusions and equalities; 5. Dis joint ness of fuzzy sets; 6. A fuzzy set and its complement.
  • 7. Conservation of crispness, versus the 'bootstrap effect'8. Conclusion; References; ON IMPLICATION AND INDISTINGUISHABELTTY IN THESETTING OF FUZZY LOGIC; 1. INTRODUCTION; 2. SOME PRELIMINARIES; 3.S-IMLICATIONS; 4.R-IMPLICATION; REFERENCES; A THEOREM ON IMPLICATION FUNCTIONSDEFINED FROM TRIANGULAR NORMS; 0� Introduction; 1. Background; 2. Theorem; 3. Proof; 4. Conclusion; References; FUZZY NUMBERS: AN OVERVIEW; ABSTRACT; I. INTRODUCTION; II. DEFINITIONS AND FUNDAMENTAL PRINCIPLES; III. THE CALCULUS OF FUZZY QUANTITIES WITH NONINTERACTIVEVARIABLES.