针对犹豫模糊多属性决策问题, 引入犹豫模糊可能度概念, 提出了基于可能度的PROMETHEE 方法。首先, 基于均匀分布的概率准则给出了犹豫模糊元比较的可能度公式, 并证明其性质;在其基础上结合PROMETHEE 法, 给出犹豫模糊多属性决策方法。本方法将传统PROMETHEE 的多步骤整合为一个公式, 简化了计算过程。最后, 通过实例验证了该方法的合理性和可行性。
For hesitant fuzzy multi-criteria decision making problems, the concept of the possibility degree of the hesitant fuzzy elements is introduced and the PROMETHEE method based on the possibility degree is proposed. First, a comparison formula for the hesitant fuzzy possibility degree based on the probability criterion of a uniform distribution is derived, and its properties are shown. Then, a novel method of the hesitant fuzzy linguistic multi-criteria decision making is developed based on the idea of PROMETHEE, in which the multiple steps may be integrated into one formula to simplify the computational process. Finally, the rationality and the feasibility of the method is verified in an illustrative example.
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