Hesitant-intuitionistic Fuzzy Preference Relation and Its Application in Group Decision Making

Abstract

This paper investigates the multiplicative consistency of the hesitant-intuitionistic fuzzy preference relation (HIFPR) and its application in group decision making. First, an improved fuzzy preference relation is proposed to deal with the decision making problem with preference and nonpreference as well as hesitation. To check the multiplicative consistency of the HIFPR, a new consistency index is introduced. In terms of the inconsistency in practice, a HIFPR adjustment method based on objective programming is presented by minimizing the deviation of initial HIFPR and adjusted HIFPR. Furthermore, a novel algorithm which can reach group consensus is proposed for group decision making with HIFPR. Finally, an example of a reservoir operation scheme selection is provided to show the application of the proposed method and verify the method’s feasibility.