Computing with Words in Generalized Interval Type-2 Fuzzy Sets

The conventional fuzzy sets are type-1 fuzzy sets whose point-values are two-dimensional,and the point-values of type-2 fuzzy sets(T2 FSs) are three-dimensional.So it is more difficult for T2 FS to be understood and computed than the corresponding type-1.To make T2 FS be better understood and extensively applied,in this paper,we present the definition of generalized interval type-2 fuzzy sets(GIT2 FSs),and divide them into three types:discrete type,partial discrete type,and continuous type.Then,the corresponding mathematical representation of every type is given to get the extension principle formula of GIT2 FS.Lastly,computing methods are proposed to discuss computing with words of GIT2 FS by two different fuzzy logic operators.

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