[1]常志朋,程龙生.基于正交试验设计的区间数立体决策方法[J].南京理工大学学报(自然科学版),2014,38(06):823.
 Chang Zhipeng,Cheng Longsheng.Stereo decision making method for interval number based on orthogonal experimental design[J].Journal of Nanjing University of Science and Technology,2014,38(06):823.
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基于正交试验设计的区间数立体决策方法
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
38卷
期数:
2014年06期
页码:
823
栏目:
出版日期:
2014-12-31

文章信息/Info

Title:
Stereo decision making method for interval number based on orthogonal experimental design
作者:
常志朋12程龙生1
1.南京理工大学 经济管理学院,江苏 南京 210094; 2.安徽工业大学 商学院,安徽 马鞍山 243002
Author(s):
Chang Zhipeng12Cheng Longsheng1
1.School of Economics and Management,NUST,Nanjing 210094,China; 2.School of Business,Anhui University of Technology,Maanshan 243002,China
关键词:
正交试验 区间数 正交表 超矩形 相对熵 贴近度 多维实数点 决策向量
Keywords:
orthogonal experiments interval numbers orthogonal arrays hyper rectangles relative entropies similarity degrees multi-dimension real numbers decision vectors
分类号:
C934
摘要:
为了减少决策信息损失,针对区间数决策问题,提出了一种立体决策方法。将m维区间数决策向量看作具有2m个顶点的超矩形利用Ls(2m)正交表在超矩形上均匀分散地选取s个顶点代表该超矩形,再根据不同超矩形对应顶点之间的相对熵度量超矩形之间的差异,最后利用各决策方案同理想解的贴近度进行决策方案排序。实例验证表明该文方法有效、可行。由于选取了多个多维实数点代表区间数决策向量,在丰富了决策信息的同时也增加了计算量。
Abstract:
To decrease the loss of decision making information,a stereo decision making method is proposed for the interval number decision making problem.An m-dimension interval number decision making vector is regarded as a hyper rectangle with 2m vertices.s vertices are selected equably and dispersedly from the hyper rectangle using an Ls(2m)orthogonal array to represent the hyper rectangle.The difference between two hyper rectangles is measured by the relative entropies between the corresponding vertices of the hyper rectangles.All decision alternatives are ranked using the degree of similarity between every decision alternative and ideal solution.An illustrative example is given to demonstrate the feasibility and validity of the proposed method.The decision making information and calculation is increased because of selecting many multi-dimension real numbers to represent interval number decision vectors.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2013-04-09 修回日期:2013-08-26
基金项目:国家自然科学基金(71271114; 71303004); 教育部人文社会科学规划基金(10YJA630020)
作者简介:常志朋(1978-),男,博士生,讲师,主要研究方向:多准则决策、管理综合评价等,E-mail:changzp@126.com; 通讯作者:程龙生(1964-),男,教授,博士生导师,主要研究方向:管理综合评价、多准则决策等,E-mail:cheng_longsheng@163.com。
引文格式:常志朋,程龙生.基于正交试验设计的区间数立体决策方法[J].南京理工大学学报,2014,38(6):823-828.
投稿网址:http://zrxuebao.njust.edu.cn
更新日期/Last Update: 2014-12-31