An Analysis of Trapezoidal Intuitionistic Fuzzy Preference Relations Based on (α,β)-cuts

Pairwise relations are accepted ways to compare a finite set of elements. Some researchers believe that human mind acts the same when choosing among different elements. Another feature of human judgments that must be considered in these comparisons is their uncertainty in expressing the preference of elements. Combining these two features of human mind, a method is developed for pairwise comparisons, using trapezoidal intuitionistic fuzzy numbers. In this paper, decision-makers are allowed to express their preferences and then determine their beliefs and hesitancy regarding these judgments. The application of the proposed method is demonstrated by a real world case about choosing strategic priorities of chain stores. Decision-makers can increase their ability to specify the preferences of elements under their internal uncertainty by this method.