Decision Making Using The Score Function And New Distance Measure: A Comparative Study

In this paper, we define a new metric (distance function) between the dual fuzzy set of hesitation and also between the weighted dual fuzzy set of hesitation. This new measure is made by adding the relative coefficient of variation to the previous measure [53], a comparison is obtained between the previous measure and the present measure. In addition, a comparison is presented between the score function and the distance measure to see which is more efficient and easier to use in decision-making, in the medical diagnosis application. We have proved the triangle inequality of the new normalized Hamming metric, the new Euclidean metric, and the new generalized metric between two dual hesitant fuzzy elements. We have used a Python program to write the code of distance measure calculations. The score function is very important for ordering the dual hesitant fuzzy elements, so it is very important in simplifying the calculations for decision-making.