基于扰动优势关系的直觉模糊三支决策方法

An intuitionistic fuzzy three-way decision method based on perturbation dominance relationship

针对现有直觉模糊优势关系要求过于严格,以及评价信息损失较大和利用不全的问题,利用直觉模糊集之间的扰动度提出了符合直觉模糊特点的直觉模糊扰动优势关系。进而得到比等价类要求更低的扰动优势类,从而更大程度利用评价信息,紧接着讨论了优势类的相关性质。随后针对现有直觉模糊三支决策方法中的条件概率用实数表示导致不确定信息丢失问题,基于扰动优势关系提出了用直觉模糊数表示的条件概率的计算方法,并且给出了三支决策以及多属性决策规则。通过算例验证了该方法的有效性,并对优势程度和风险规避系数进行了灵敏度分析。

To deal with the problems of too strict requirements for the existing intuitionistic fuzzy dominance relationship,large loss and incomplete utilization of evaluation information,an intuitionistic fuzzy perturbation dominance relationship in line with the characteristics of intuitionistic fuzzy is proposed by using the disturbance degree between intuitionistic fuzzy sets.Then,a perturbation dominance class with lower requirements than the equivalence class is obtained,so as to make greater use of evaluation information.Its related properties are discussed.Next,aiming at the problem that the conditional probability in the existing intuitionistic fuzzy three-way decision method is expressed by real numbers,which leads to the loss of uncertain information,a calculation method of conditional probability expressed by intuitionistic fuzzy numbers is proposed based on the perturbation dominance relationship,and the three-way decision and multi-attribute decision rules are given.Then,an example is given to verify the effectiveness of the method,and the sensitivity of the dominance degree and risk avoidance coefficient is analyzed.