改进的Vague值间相似度量一般公式及其地标排序应用

Improved General Equation of Similarity Measure between Vague Values and Its Application in Landmark Preference

针对现有Vague值间相似度量一般公式以常数为调节系数存在的不足,提出对其未知度子项调节系数增加与Vague值自身有关的函数的改进方法,给出了该函数应满足的条件。提出了一种包含该函数的新的Vague集间相似度量,对其性质进行讨论;并基于现有Vague集间相似度量,给出了一种该函数的选取方法。与现有相似度量比较表明,提出的相似度量明显改善度量结果的合理性和区分能力。与多准则模糊决策方法相结合,将提出的相似度量用于地标排序,表明其有效性、可行性和优越性,同时为地标排序提供了一种新方法。

Through aiming at the inadequacies of the existed general equation with constant adjustment coefficients of similarity measure between Vague values,an improved method by adding a function associated with the Vague value itself into the adjustment coefficient of unknown degree item is proposed. The conditions that the function should be satisfied are presented. A new kind of similarity measures including the function between Vague sets is proposed and their properties are discussed. A method of choosing the function is presented based on the existed similarity measures between Vague sets. The proposed similarity measures are illustrated by comparison with the present similarity measures that they significantly improve the reasonableness of the measurements and the discrimination of similarity measures. By combining with the multi-criteria fuzzy decision making method,the proposed similarity measures are applied to landmark preference,which feasibility,effectiveness and superiority of the proposed similarity measures are illustrated and in the meanwhile a new way for landmark preference is provided.