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

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Chapter 1

INTRODUCTION

The ontological and epistemological foundations of fuzzy sets and fuzzy logics are reassessed from the perspective of equivalences of the classical theory which breaks down in fuzzy theory. In turn, it is shown that there are additional new formulae and laws of conservation which demonstrate in part the richness of fuzzy theory beyond the classical theory. In particular, combinations of linguistic variables with linguistic connectives generate part of this richness within the framework of CWW and CWP proposed by L.A. Zadeh.

Another unique perspective of this work is to emphasize the fact that theories of sets and logics are similar but separate even though they are used together in deriving the formulas of combined concepts ...

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