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世博会对上海旅游业影响力的定量评估
引用本文:杨健康,董文刚,杜朝,马翠.世博会对上海旅游业影响力的定量评估[J].数学的实践与认识,2012,42(16):13-20.
作者姓名:杨健康  董文刚  杜朝  马翠
作者单位:1. 第三军医大学学员旅八队,重庆,400038
2. 第三军医大学数学与生物数学教研室,重庆,400038
摘    要:针对世博会对上海旅游业影响力的定量评估问题,建立了基于改进的AHP-TOPSIS综合评价模型.首先建立世博会对旅游业影响力的层次结构,选取包括上海世博会在内的四届世博会作为评价对象,同时采用GM(1,1)模型对上海世博会评价指标值进行预测,然后运用改进的AHP确定权重,最后利用TOPSIS方法得到各评价对象与理想解的接近程度.结果显示,上海世博会与正理想解的接近程度为0.9545,上海世博会对自身旅游业的影响力要高于其他三届世博会.

关 键 词:改进的AHP  TOPSIS  综合评价  GM(1  1)

The Quantitative Assessment of World Expo Influencing the Shanghai Tourism Industry
YANG Jian-kang , DONG Wen-gang , DU Chao , MA Cui.The Quantitative Assessment of World Expo Influencing the Shanghai Tourism Industry[J].Mathematics in Practice and Theory,2012,42(16):13-20.
Authors:YANG Jian-kang  DONG Wen-gang  DU Chao  MA Cui
Institution:1.Team 8,Cadet Brigade,Third Military Medical University,Chongqing 400038,China) (2.Department of Mathematics and Biological Mathematics,Third Military Medical University,Chongqing 400038,China)
Abstract:The paper aims at the problem of the quantitative assessment of World Expo influencing the Shanghai tourism industry.Based on the principle of analytical hierarchy process(AHP) and the characteristics of evaluation index system about tourism,the improved AHP-TOPSIS model is established.Through the selection of the index and the object,the hierarchy of World expo influencing the Shanghai tourism is established firstly.Meanwhile the value of the Shanghai World Expo is predicted by the GM(1,1).Then the weights is determined through using the improved AHP.Eventually the proximity between objects and ideal solution is gained with TOPSIS method.The results show that Shanghai World Expo is close to the ideal solution for the 0.9545 level,so that the Shanghai World Expo impact on tourism is bigger than the other three World Expo.The improved AHP-TOPSIS model is a new,scientific and simple model for evaluating tourism.
Keywords:improved AHP  TOPSIS  general evaluation  GM(1  1)
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