Abazar Keikha - Department of Mathematics and Statics, Velayat University, Iranshahr, IRAN

Uncertainty as an important factor in modeling and solving practical problems, absorbed many attentions, and then many tools have been proposed to model it scientifically. Hesitant fuzzy sets are one of these tools which are suitable when the decision maker is able to expresses her/his hesitation degrees by a finite set of some values in [۰; ۱]. Hesitant fuzzy numbers are special case of hesitant fuzzy sets that have been used to solve organized complexity problems. In this paper, new types of three famous distance functions, i.e., Hamming distance, Euclidean distance, and Generalized distance functions will be defined. Then, a numerical is used to shows the impact of the new concepts comparatively with previous ones.

Hesitant fuzzy sets, Hesitant fuzzy numbers, Hamming distance, Euclidean distance, Generalized distance