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Fuzzy Three-valued Switching Functions Using Choquet Integral

Eiichiro Takahagi

Abstract:
Fuzzy three-valued switching functions have true, false and unknown inputs and outputs values. The functions are calculated by Choquet integral whose fuzzy measure values are assigned from normal three-valued switching functions. The functions are extension of normal three-valued functions and satisfy the monotonicity with respect to vagueness.

Keywords: Choquet integral, fuzzy measure, fuzzy switching function, three-valued logic, monotonicity with respect to vagueness

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