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

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Chapter 17

A FOUNDATION FOR COMPUTING WITH WORDS: META-LINGUISTIC AXIOMS

17.1 Introduction

In this chapter, Meta-Linguistic axioms are proposed as a foundation for Computing With Words, CWW, (Zadeh; 1991, 2001) as an extension of fuzzy sets and logic theory. Over the last 40 plus years, we have discussed and made considerable progress on the foundations of fuzzy set and logic theory and their applications in domains of mainly fuzzy control and partially fuzzy decision support systems. But in all these works, we generally have started out with the classical axioms of classical set and logic theory which are expressed in set notation and then relaxed some of these axioms, such as distributivity absorption, idempotency, etc., in order to come ...

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