Moderator Intuitionistic Fuzzy Sets and Application in Medical Diagnosis

The notion of intuitionistic fuzzy sets (IFSs) helps to an observer to incorporate the hesitancy value in the degree of membership function. The hesitancy factor comes from his basic knowledge, past experience, situation, depth of the standard terminologies, and many more characteristics; so the degree of membership function involved uncertainty under IFSs. Hence, the uncertainty included with an observer in the choice of membership grade under IFSs needs to be further improved by a moderator parameter to make the uncertain behavior more accurate. This can be done by introducing the concept of moderator intuitionistic fuzzy set (MIFS) as a generalization of IFSs. Furthermore, some properties and operators are defined over MIFSs similar to IFSs. Finally, a real-life problem of medical diagnosis is considered to apply the proposed approach effectively.