关键词: 概率不确定犹豫模糊偏好关系, 期望加性一致性, 一致性调整算法, 决策模型

Abstract: Aiming at it is difficult to provide accurately and fully decision maker’s evaluation information by using hesitant fuzzy information in the real decision-making situation, the Probability Uncertainty Hesitant Fuzzy Preference Relation（PUHFPR） is first introduced, which can effectively deal with the Probability Uncertain Hesitant Fuzzy Element（PUHFE） decision problem elements in probability information partly known and completely unknown. Then, the expected additive consistency and acceptable expected additive consistency of PUHFPR are defined, and an optimization model is constructed to determine the probability of occurrence of PUHFPR elements by minimizing the deviation. In addition, based on consistency adjusted algorithm, the probability uncertainty hesitant fuzzy decision-making model is developed to derive priority weights of alternatives. Finally, an example of the investment through the selection of listed companies shows the effectiveness of the decision-making model.

Key words: probability uncertainty hesitant fuzzy preference relations, expected additive consistency, consistency adjusted algorithm, decision-making model