An Ontological and Epistemological Perspective of Fuzzy Set Theory

I. Burhan Türksen

542 pages, parution le 28/11/2005

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Résumé

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

Audience
Fuzzy set and Logic theory and applications, Industrial Engineering, Management Sciences, Operations Research, Decision Support Systems and System Modeling.

Sommaire

Foundation
Introduction
Computing with Words
Measurement of Membership
Elicitation Methods
Fuzzy Clustering Methods
Classes of Fuzzy Set and Logic Theories
Equivalences in Two-Valued Logic
Fuzzy-Valued Set and Two-Valued Logic
Containment of FDCF in FCCF
Consequences of D(0,1), V(0,1) Theory
Compensatory "And"
Belief, Plausibility and Probability Measures on Interval-Valued Type 2 Fuzzy Sets
Veristic Fuzzy Sets of Truthoods
Approximate Reasoning
Interval-Valued Type 2 GMP
A Theoretical Application of Interval-Valued Type 2 Representation
A Foundation for Computing with Words: Meta-Linguistic Axioms

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Elsevier
Auteur(s)	I. Burhan Türksen
Parution	28/11/2005
Nb. de pages	542
Format	17 x 24,5
Couverture	Relié
Poids	1100g
Intérieur	Noir et Blanc
EAN13	9780444518910
ISBN13	978-0-444-51891-0