A comparison of distance measures for medical diagnosis

The intuitionistic fuzzy set theory has a number of properties that make it suitable for formalizing uncertain information. To apply the theory in real problems such as medical diagnosis, many different distance measures of the sets have been proposed, but there have been no studies comparing the efficiency of the measures for medical diagnosis. This paper presents an evaluation and a comparison of three popular distance measures (the Hamming, Euclidean, and Hausdorff distances) between intuitionistic fuzzy sets with two and three parameters. The simulation results show that the coincidence rate of the diagnosis results is higher in the case of using three parameters as contrasted with the case of using two parameters, and the coincidences of the Hamming distance and the Hausdorff distance are very high.