基于最大满意度的区间混合判断矩阵排序方法

Maximum Satisfaction Methods to Derive Priorities of Interval Hybrid Judgment Matrix

区间混合判断矩阵对表达决策者的判断信息很有帮助,然而区间混合判断矩阵尚未引起学者的足够重视.定义了一致性乘型区间混合判断矩阵和一致性加型区间混合判断矩阵,并基于最大满意度的思想,提出了求解区间混合判断矩阵的乘型和加型最大满意度模型和一致性指标,分析讨论了最大满意度模型的优点,最后通过算例验证了该模型的正确性和适用性,具有一定的理论和实际应用价值.

Interval hybrid judgment matrixes are useful to express decision maker＇s uncertain preference information,but researchers have not paid much attention to the study of interval hybrid judgment matrixes.In this paper the concepts of consistent multiplicative interval hybrid judgment matrix and consistent additive interval hybrid judgment matrix are defined.Based on the maximum satisfaction method,multiplicative and additive models of the interval hybrid judgment matrixes are proposed to derive the priority vector and the consistency index.Finally,numerical examples are used to validate the correctness and applicability of the models.