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

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Chapter 10

CONSEQUENCES OF {D[0,1], V{0,1}}} THEORY

There are a number consequences and new insight that come to light as a result of the Fuzzy Canonical Forms. We identify some of these in this section under the headings of:

Laws of Fuzzy Middle and Fuzzy Contradiction

Laws of Fuzzy Conservation

Fuzzy Re-Affirmation

Fuzzy Re-Negation

Fuzzy Modus Ponens

Clearly, there ought to be many other consequences. These are left for future expositions.

This chapter is a modified and improved version of TürkimageLen, Kandel and Zhang (1998, 1999). In general, these consequences are examples of the general breakdown of the classical equivalences in fuzzy theory. ...

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