The Possibilistic Representative Value of Type-2 Fuzzy Variable and Its Properties

Type-2 (T2) fuzzy variable is an extension of an ordinary fuzzy variable. T2 fuzzy variable is dened as a measurable map from the universe to the set of real numbers, the possibility of a T2 fuzzy variable takes on a real number is a regular fuzzy variable (RFV). T2 fuzziness, which is usually used to handle linguistic uncertainties, can be described as T2 fuzzy variable. To characterize the properties of T2 fuzzy variables in some aspects, we present a scalar representative value operator for T2 fuzzy variable. Some properties of the representative value operator are discussed. For discrete T2 fuzzy variable and T2 triangular fuzzy variable, we obtain the computational formulas of the representative value. c

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