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An Ontological and Epistemological Perspective of Fuzzy Set Theory by I. Burhan Türksen

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Chapter 16

A THEORETICAL APPLICATION OF INTERVAL-VALUED TYPE 2 REPRESENTATION*

In this chapter, we attempt to model a strict preference relation from a given subjective weak preference relation of the decision maker. Fuzzy relations and interval valued Type 2 fuzzy sets based on Fuzzy Disjunctive and Conjunctive Canonical Forms, FDCF and FCCF representations [Türkimageen, 1986–2002] are used as basic tools in the modeling.

We start with a fuzzy weak preference relation which is assumed to be solicited from the decision maker(s). We assume that this fuzzy relation is an adequate representation of the decision maker’s subjective weak preference.

There ...

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