An ontological and epistemological perspective of fuzzy set theory /

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Fuzzy set and logic theory suggest that all natural language linguistic expressions are imprecise and must be assessed as a matter of degree. But in general membership degree is an imprecise notion which requires that Type 2 membership degrees be considered in most applications related to human deci...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Turksen, I. Burhan, 1937-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Oxford : Elsevier, 2006.
©2006
Edición:1st ed.
Temas:
Fuzzy sets.
Ensembles flous.
MATHEMATICS > Set Theory.
Acceso en línea:Texto completo (Requiere registro previo con correo institucional)

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100 1 |a Turksen, I. Burhan,  |d 1937- 
245 1 3 |a An ontological and epistemological perspective of fuzzy set theory /  |c I. Burhan Türkş̜en. 
250 |a 1st ed. 
260 |a Amsterdam ;  |a Oxford :  |b Elsevier,  |c 2006. 
264 4 |c ©2006 
300 |a 1 online resource (xxvii, 514 pages) :  |b illustrations 
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520 |a Fuzzy set and logic theory suggest that all natural language linguistic expressions are imprecise and must be assessed as a matter of degree. But in general membership degree is an imprecise notion which requires that Type 2 membership degrees be considered in most applications related to human decision making schemas. Even if the membership functions are restricted to be Type1, their combinations generate an interval valued Type 2 membership. This is part of the general result that Classical equivalences breakdown in Fuzzy theory. Thus all classical formulas must be reassessed with an upper and lower expression that are generated by the breakdown of classical formulas. Key features: - Ontological grounding - Epistemological justification - Measurement of Membership - Breakdown of equivalences - FDCF is not equivalent to FCCF - Fuzzy Beliefs - Meta-Linguistic axioms - Ontological grounding - Epistemological justification - Measurement of Membership - Breakdown of equivalences - FDCF is not equivalent to FCCF - Fuzzy Beliefs - Meta-Linguistic axioms. 
505 0 |a Table of Contents -- Preface -- Table of Contents -- 0. Foundation -- 1. Introduction -- 2. Computing with Words -- 3. Measurement of Membership -- 4. Elicitation Methods -- 5. Fuzzy Clustering Methods -- 6. Classes of Fuzzy Set and Logic Theories -- 7. Equivalences in Two-Valued Logic -- 8. Fuzzy-Valued Set and Two-Valued Logic -- 9. Containment of FDCF in FCCF -- 10. Consequences of D(0,1), V(0,1) Theory -- 11. Compensatory "And" -- 12. Belief, Plausibility and Probability Measures on Interval-Valued Type 2 Fuzzy Sets -- 13. Veristic Fuzzy Sets of Truthoods -- 14. Approximate Reasoning -- 15. Interval-Valued Type 2 GMP -- 16. A Theoretical Application of Interval-Valued Type 2 Representation -- 17. A Foundation for Computing with Words: Meta-Linguistic Axioms -- 18. Epilogue -- References -- Subject Index -- Author Index. 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
546 |a English. 
590 |a O'Reilly  |b O'Reilly Online Learning: Academic/Public Library Edition 
650 0 |a Fuzzy sets. 
650 6 |a Ensembles flous. 
650 7 |a MATHEMATICS  |x Set Theory.  |2 bisacsh 
650 7 |a Fuzzy sets.  |2 fast  |0 (OCoLC)fst00936812 
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