基于Vague集可能度的多目标模糊决策

Multi-criteria Fuzzy Decision Making Based on Probability Degree of Vague Sets

针对目前基于Vague集的多目标模糊决策问题往往采用记分函数的方法来计算评价函数的得分状况,引进Vague值比较的可能度概念,通过两两比较候选方案满足特定模糊约束条件的评价函数,建立了所有候选方案的可能度矩阵。利用模糊互补判断矩阵的排序方法,得到候选方案集的排序向量,从而实现了候选方案的排序。给出了一个实际应用的例子,证明了该方法的可行性和实用性。

Nowadays, score functions are always used to deal with multi - criteria fuzzy decision - making problems based on vague sets. By introducing the concept of probability degree of vague values, the probability matrix of all alternatives was established after the comparison of the evaluation function of each alternative with others. Using the sort method for the fuzzy complementary judgment matrix, the sort vector of all alternatives was obtained. A practical example was shown to highlight the feasibility and the utility of the proposed approach.