Fuzzy Certainty Factor for incomplete information

Fuzzy logic has flexibility in defining fuzzy sets. Zadeh defined fuzzy sets for incomplete information with single fuzzy membership. The two fold fuzzy set will give more information than the single membership function. In this paper, two fuzzy set is studied with two membership functions “Belief” and “Disbelief”. The Fuzzy Certainty Factor (FCF) is difference between “Belief” and “disbelief”. The Fuzzy Certainty Factor is studied differently. The fuzzy logic and fuzzy reasoning are studied for FCF. The medical diagnosis is given as an example.