Similarity measures for interval-valued intuitionistic fuzzy soft sets and its application in medical diagnosis problem.

Similarity measure is an important topic in fuzzy set theory (L. A. Zadeh, 1965). Similarity measure of fuzzy sets is now being extensively applied in many research fields such as fuzzy clustering, image processing, fuzzy reasoning, fuzzy neural network, pattern recognition, medical diagnosis, game theory, coding theory and several problems that contain uncertainties. The aim of this paper is to introduce the concept of similarity measure for interval-valued intuitionistic fuzzy soft sets based on set theoretic approach, some examples and basic properties are also studied. Lastly an application in a medical diagnosis problem is illustrated.