基于灰色关联的不确定信息双边匹配决策模型与应用

Decision model and application of two-sided matching of uncertain information based on grey correlation

摘要:

针对匹配主体对一方匹配对象的满意度与其他匹配对象相关联,以及因人们认知局限性、决策条件模糊性或决策者不愿发表决策意见等情况导致的信息难以准确量化的情形,引入灰色关联分析方法整体性处理匹配主体之间的匹配满意度,并采用区间数、直觉模糊数、三角模糊数等数据类型较为全面地表示主体各种指标信息。在考虑匹配主体心理行为的基础上,运用灰色关联分析方法确定各主体的匹配关联度,以匹配关联度最大化为目标获得满意度最高的匹配方案,并通过实例分析说明所提方法的可行性和有效性。

Abstract:

With respect to the satisfaction of matching subject to one matching object related to the other matching subject, and the case that people"s cognitive limitations, fuzzy decision condition and decision makers unwilling to express their views making it difficult to accurately quantify the information, the paper introduces the method of grey correlation analysis to deal with the matching degree between the matching subjects integrally. And the interval number, intuitionistic fuzzy number, triangular fuzzy number and other data types are more comprehensive to show the subject of a variety of indicators information. On the basis of considering the psychological behavior of matching subject, the paper uses the method of grey correlation analysis to determine the matching correlation degree of each matching subject, obtains the highest satisfaction matching scheme with matching correlation degree maximization as the goal and illustrates the feasibility and effectiveness of the method through the case analysis.