Abstract
Some extensions of fuzzy set have been made in the literature, for example, type 2 fuzzy set, intuitionistic fuzzy set, twofold fuzzy set, and bifuzzy variable. Type 2 fuzzy set was introduced by Zadeh [155] as a fuzzy set whose membership grades are also fuzzy sets. The intuitionistic fuzzy set was proposed by Atanassov[3] as a pair of membership functions whose sum takes values between 0 and 1. Twofold fuzzy set was derived by Dubois and Prade [21] from possibility and necessity measures as a pair of fuzzy sets: the set of objects which possibly satisfy a certain property, and the set of objects which necessarily satisfy the property.KeywordsMembership FunctionFuzzy VariableMembership GradeRandom Fuzzy VariableContinuity PointThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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