A foundation for CWW: Meta-linguistic axioms

As a foundation for Computing With Words, meta-linguistic axioms are proposed in analogy to the axioms of classical theory. Consequences of these meta-linguistic expressions are explored in the light of Interval-valued Type 2 Fuzzy Sets. The mapping of the meta-linguistic axioms to Fuzzy Disjunctive and Conjunctive Canonical forms generate two set theoretic axioms as opposed to one axiom that is generated in the classical theory. This occurs because the basic equivalences of the classical theory break down in fuzzy theory. This once again demonstrates that fuzzy set theories and hence CWW have a richer and more expressive power that classical theory.

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