A new distance score function of hesitant fuzzy set and application to Multiple Criteria Decision Making (MCDM) / Putrizatul Ain Mohamad Radzib, Syifa Syuhada Razali and Anis Firdaus Sarudin

The hesitant fuzzy set has been proposed recently in providing an interesting expansion in a fuzzy set. This research applies hesitant fuzzy sets which is it presents the degree of the membership where the value possibility between zero and one. We analysed the seven types of score function which are arithmetic-mean score function, geometric-mean score function, minimum score function, maximum score function, product score function, bounded sum score function, and fractional score function. The new formula of distance method has been proposed based on Euclidean distance of score function by using the ideal solution in TOPSIS. Then, we apply the proposed method of distance score function in solving the multi-criteria decision making (MCDM) problem. Finally, the result of ranking the alternative using purpose distance method is consistent with the other ranking method.