Dealing with incomplete information is fuzzy rather than probability. Modeling fuzziness in various situations is necessary. In this paper, a new representation of fizzy set typ-2, fuzzy set α-cut and fuzzy temporal set occurs in fuzzy propositions. These fuzzy quantifiers set, fizzy set typ-2, fuzzy set α-cut, fuzzy temporal sets, fuzzy granular sets, fuzzy rough sets type-2, default fuzzy sets and fuzzy probability sets are studied. These are generalized and quantified. This work is only trying to generalize fuzzy logic in computation of incomplete information.