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二元语义判断矩阵的性质及其在航线优选中的应用
引用本文:巩在武,刘思峰.二元语义判断矩阵的性质及其在航线优选中的应用[J].南京航空航天大学学报,2007,39(4):550-554.
作者姓名:巩在武  刘思峰
作者单位:南京航空航天大学经济与管理学院,南京,210016
基金项目:国家自然科学基金(70473037)资助项目,国家教育部博士学科点科研基金(2002087001)资助项目
摘    要:研究二元语义语言判断矩阵的性质及相关问题。利用二元语义的定义,讨论二元语义判断矩阵的定义与性质,探讨这些性质之间的内在联系,并给出基于二元语义判断矩阵的排序算法;通过对二元语义评价值与模糊数以及语言评价值的转化关系的研究,论证转化后的二元语义判断矩阵仍然具有一致性等性质,从而保证评价信息的完整性与真实性。最后给出一个航线优选的算例。

关 键 词:群决策  语言判断矩阵  二元语义  语言评价信息  航线
文章编号:1005-2615(2007)04-0550-05
修稿时间:2006-01-04

Proprieties of Two-Tuple Linguistic Judgment Matrix and Its Application in Airline Preference
Gong Zaiwu,Liu Sifeng.Proprieties of Two-Tuple Linguistic Judgment Matrix and Its Application in Airline Preference[J].Journal of Nanjing University of Aeronautics & Astronautics,2007,39(4):550-554.
Authors:Gong Zaiwu  Liu Sifeng
Abstract:Proprieties and corresponding problems of two-tuple linguistic judgment matrices are studied.Using the definition of two-tuple linguistic,the definition and the properties of two-tuple linguistic judgment matrices are discussed,the inherence relations among these proprieties are studied.Meanwhile,a priority algorithm based on two-tuple judgment matrix is given.By transformation relations among two-tuple assessment values,fuzzy number and linguistic assessment values,the transformed two-tuple judgment matrix is proved to keep the consistency and other proprieties,thus guaranteeing the assessment information being of intact and genuine.Finally,an airline preference example is given to prove that the proposed method is effective.
Keywords:group decision making  linguistic judgment matrix  two-tuple linguistic  linguistic assessment information  airline
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