An ontological and epistemological perspective of fuzzy set theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam
Elsevier
2006
|
| Edition: | 1st ed |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 Includes bibliographical references and index |
| Physical Description: | 1 Online-Ressource (xxvii, 514 p.) |
| ISBN: | 9780444518910 0444518916 9780080525716 0080525717 |
Staff View
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| 245 | 1 | 0 | |a An ontological and epistemological perspective of fuzzy set theory |c I. Burhan Türkş̜en |
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| 500 | |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 | ||
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444518910 0444518916 9780080525716 0080525717 |
| language | English |
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| spelling | Turksen, I. Burhan Verfasser aut An ontological and epistemological perspective of fuzzy set theory I. Burhan Türkş̜en 1st ed Amsterdam Elsevier 2006 1 Online-Ressource (xxvii, 514 p.) txt rdacontent c rdamedia cr rdacarrier 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 Includes bibliographical references and index Ensembles flous MATHEMATICS / Set Theory bisacsh Fuzzy sets fast Fuzzy sets http://www.sciencedirect.com/science/book/9780444518910 Verlag Volltext |
| spellingShingle | Turksen, I. Burhan An ontological and epistemological perspective of fuzzy set theory Ensembles flous MATHEMATICS / Set Theory bisacsh Fuzzy sets fast Fuzzy sets |
| title | An ontological and epistemological perspective of fuzzy set theory |
| title_auth | An ontological and epistemological perspective of fuzzy set theory |
| title_exact_search | An ontological and epistemological perspective of fuzzy set theory |
| title_full | An ontological and epistemological perspective of fuzzy set theory I. Burhan Türkş̜en |
| title_fullStr | An ontological and epistemological perspective of fuzzy set theory I. Burhan Türkş̜en |
| title_full_unstemmed | An ontological and epistemological perspective of fuzzy set theory I. Burhan Türkş̜en |
| title_short | An ontological and epistemological perspective of fuzzy set theory |
| title_sort | an ontological and epistemological perspective of fuzzy set theory |
| topic | Ensembles flous MATHEMATICS / Set Theory bisacsh Fuzzy sets fast Fuzzy sets |
| topic_facet | Ensembles flous MATHEMATICS / Set Theory Fuzzy sets |
| url | http://www.sciencedirect.com/science/book/9780444518910 |
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