Research on decision method based on probability hesitation fuzzy comprehensive distance measure

基于概率犹豫模糊综合距离测度的决策方法研究

¹ Naval Aeronautical University, Yantai 264000, China
² College of Joint Operations, National Defense University, Beijing 100192, China

Received: 21 November 2022

Abstract

Aiming at the defects of the existing probabilistic hesitation fuzzy distance measures, which require the number of membership degree to be consistent and the order to be rearranged, a probabilistic hesitation fuzzy multi-attribute decision making method based on the comprehensive characteristic distance measure is proposed. First, a new law of probability hesitant fuzzy number comparison is defined. Then four characteristics of aggregation, discreteness, fuzziness and consistency are defined, and a new comprehensive distance measure is defined based on definitions above. Finally, on the basis of traditional TODIM method and prospect theory, the validity and rationality of the distance measure and new probability hesitant fuzzy recognition method in this paper are verified by examples and comparative analysis.

摘要

针对现有概率犹豫模糊距离测度存在的要求元素个数一致和顺序重排等缺陷, 提出了基于概率犹豫模糊综合距离测度的多属性决策方法。定义了新的概率犹豫模糊数比较法则。定义聚集性、离散性、模糊性和一致性4种特征, 并基于此定义了新的综合距离测度。通过基于TODIM的识别方法对所提距离测度进行验证, 仿真实例和对比分析验证了所提距离测度和识别方法的有效性和合理性。