尖锥网络分析法  

Cone-ANP: A new theoretical method of analytic network process based on the cone network

作　　者：李春好[1] 陈维峰[1] 苏航[1] 李巍[1] 李孟姣 

机构地区：[1]吉林大学管理学院,长春130025

出　　处：《管理科学学报》2013年第10期11-24,共14页Journal of Management Sciences in China

基　　金：国家自然科学基金资助项目(70971054;70471015);教育部新世纪优秀人才支持计划(NECT-09-419);教育部人文社会科学研究规划基金资助项目(09YJA00067);吉林大学杰出青年基金资助项目(2010);吉林大学"985工程"资助项目

摘　　要：网络分析法(ANP)在关于元素集内部自依赖关系和元素集之间相对重要性的比较上采取的形式为"相对甲来比较甲和乙"的主观判断模式,必然会导致决策者给出明显武断随意的判断结论,其关于元素集的赋权也存在着过于武断的理论缺陷.此外,ANP没有区别元素集内部元素在源发性、过渡性、接收性上的结构特征差异对元素权重计算的影响.为解决ANP的上述缺陷,通过构建全新的系统分析结构即尖锥网络分析结构,经严格理论推导对现行ANP予以了理论创新与重构,提出了一种明显区别于ANP的新理论方法即尖锥网络分析法.数值验证表明,相对于ANP,尖锥网络分析法可以显著提高评价结论的科学合理性.Analytic network process （ANP） is considered, in this paper, to have three shortcomings. Firstly, the subjective judgment mode adopted in ANP, taking the logic of comparing object A with object B with re- spect to object A, does result in serious arbitrariness of decision makers in the comparisons of inner self-de- pendence relations within a cluster and in those of relative importance among clusters. Secondly, the weighting approach given in ANP to clusters is also arbitrary from the theoretical viewpoint. Thirdly, within ANP, no consideration of the structural difference among source cluster-elements, transient cluster-elements and sink cluster-elements is taken into account in the procedure of final ranking weighting computation. To solve these problems, a new analytic network called the cone network is presented, and a new theoretical analytic ap- proach, i.e. , Cone-ANP, which is distinguishingly different from ANP, is further innovatively built through reconstructing the ANP theory and by carrying the corresponding mathematical deduction. Illustrative examples show that evaluation conclusions can be more reasonably drawn with Cone-ANP than with ANP.

关 键 词：网络分析法 层次分析法 自依赖关系 尖锥元素集 尖锥网络 极限排序权重 

分 类 号：C934[经济管理—管理学] N94[自然科学总论—系统科学]