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

作　　者：韦波[1,2] 孟媛媛[1,2] 汪志超[1,2] 邹瑶[1,2] 

机构地区：[1]桂林理工大学广西空间信息与测绘重点实验室,桂林541004 [2]桂林理工大学测绘地理信息学院,桂林541004

出　　处：《科学技术与工程》2017年第23期56-63,共8页Science Technology and Engineering

基　　金：国家自然科学基金(41461085);广西自然科学基金(2016GXNSFAA380035;2014GXNSFDA118032);广西科学研究与技术开发项目(桂科攻1598019-4);广西"八桂学者"团队专项经费项目(厅发[2013]3号);桂林市科学技术研究开发项目(2016011109);桂林理工大学博士基金(GUT1996015)资助

摘　　要：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.

关 键 词：VAGUE集 相似度量 一般公式 多准则模糊决策 地标排序 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]