Abstract: The intuitionistic fuzzy set (IFS) theory is an important tool for describing a wide range of fuzzy things and is widely used in group decision making theory. In this study, consensus decision making under intuitionistic fuzzy set is imvestigated, trying to minimize the maximum gap between individual preference and group preference. This investigation has practical meaning: A smaller gap means individuals are more satisfied with final decision, and the work efficiency will be higher when implement the decision. In this article, first, we define the concept of compromise degree and put forward three decision scenarios, which includes decision making without consensus constraints, with consensus constraints, and with weight. Second, a novel algorithm is developed to minimize the maximal compromise degree when aggregate individual decision information. At last, a numerical example is given to prove the validation of our algorithm and group decision method. The example shows, compared with Guiwu Wei's I-IFOWG operator, the compromise degree by our method is much lower. The study is expected to support intuitionistic fuzzy theory and consensus decision making theory.

Key words: group decision making, intuitionistic fuzzy number, aggregation, minimize maximum compromise