Army command college of PLA
论文针对犹豫模糊元和概率犹豫模糊元在计算时出现的逻辑不一致、计算繁琐、与数量运算规则不相容等问题, 提出了一套基于调和犹豫模糊元的解决方法. 通过定义调和犹豫模糊元为一组概率分布相同的概率犹豫模糊元, 论文在犹豫模糊信息和概率犹豫模糊信息之间架起了一座桥梁, 将它们纳入统一处理框架. 在此基础上, 论文定义了调和犹豫模糊元的基本运算规则、集成算子、距离测度和混合熵测度, 构建了基于调和犹豫模糊信息的多属性决策方法, 并将其运用到了陆军合成旅指挥控制能力评估上.
To solve the problems of logical inconsistency, cumbersome calculations, and incompatibility with scale calculation rules that often appear in calculating with the hesitant fuzzy elements (HFEs) and the probabilistic hesitant fuzzy elements (PHFEs), this paper proposes a set of solutions based on the reconciled hesitant fuzzy elements (RHFEs). By defining RHFEs as a set of PHFEs, this work builds a bridge between the hesitant fuzzy information and the probabilistic hesitant fuzzy information, and further incorporates them into a unified processing framework. Based on the this, the operation rules, aggregation operators, distance measures, hybrid entropy measure of RHFEs have been proposed; a multi-attribute decision-making (MADM) method based on RHFE is also developed and further applied to evaluate the command and control (C2) capability of the Army"s combined brigades.