The fuzzy logic deals incomplete information with belief rather than probability. The fuzzy propositions deal with incomplete information. 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 and fuzzy rough sets are studied. These are generalized and quantified under single category. This work is only trying to overcome difficulties in computations.