Computer programs are now acceptable in Medicine. Artificial Intelligence in Medicine will perform better medical diagnosis and better surgery. Surgery intelligence is supporting system for the surgeon to take decision. Information available to the surgery is incomplete. The fuzzy logic deals incomplete information with belief rather than likelihood (probability). In this paper, fuzzy conditional inference is discussed. The fuzzy logic with two membership functions will give more evidence than single membership function. Generalized fuzzy logic is discussed with two membership functions. Generalized fuzzy certainty factor is discussed to eliminate conflict between two membership functions. The medical diagnosis is studied as an example. The fuzzy decision set is studied for decision making. The surgery intelligence is studied as an application.