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An Ontological and Epistemological Perspective of Fuzzy Set Theory - by I Burhan Türksen (Hardcover)
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Highlights
- Fuzzy set and logic theory suggest that all natural language linguistic expressions are imprecise and must be assessed as a matter of degree.
- Author(s): I Burhan Türksen
- 542 Pages
- Mathematics, Logic
Description
Book Synopsis
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
Dimensions (Overall): 9.62 Inches (H) x 6.88 Inches (W) x 1.17 Inches (D)
Weight: 2.44 Pounds
Suggested Age: 22 Years and Up
Number of Pages: 542
Genre: Mathematics
Sub-Genre: Logic
Publisher: Elsevier Science
Format: Hardcover
Author: I Burhan Türksen
Language: English
Street Date: July 1, 2005
TCIN: 1006601476
UPC: 9780444518910
Item Number (DPCI): 247-13-2146
Origin: Made in the USA or Imported
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Estimated ship dimensions: 1.17 inches length x 6.88 inches width x 9.62 inches height
Estimated ship weight: 2.44 pounds
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