Journal Home Online First Current Issue Archive For Authors Journal Information 中文版

Strategic Study of CAE >> 2005, Volume 7, Issue 8

Study on the Multi-attribute Decision Model of Grey Target Based on Interval Number

College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Funding project:国家自然科学基金资助项目(70473037);国家教委博士点基金资助项目(20020287001);江苏省自然科学基金重点资料项目(BK2003211) Received: 2004-07-01 Revised: 2004-09-02 Available online: 2005-08-20

Next Previous

Abstract

There exists uncertainty in most problems in man´s practices and the uncertainty hinders decisionmakers from defining accurately indices values when they evaluate the system. For this problem, present decision-makers often define an interval number to denote this index value, but none has studied the interval number decision model in grey target decision. In this paper, the interval number, the distance of m dimension interval number and its characteristics are defined firstly, and the fact that the distance of interval number generalizes the distance of real number is proved, then, the method to normalize the interval number is developed. Based on the above, the multi-attribute decision model of grey target based on interval number is derived, which extends the grey target decision model from real number sequence to interval number sequence and richens the grey theories in grey target decision. Last, the validity and practicability are illustrated with an example.

References

[ 1 ] YoonK.Thepropagationoferrorsinmultipledecision analysis[J].JournaloftheOperationalResearch Society, 1989, 40 (7) :681~686

[ 2 ] HyooBH, DongRV.Dataandmodelmanagementin ageneralizedMCDM-DSS[J].DecisionSciences, 1991, 22 (1) :1~25

[ 3 ] 梁 梁.基于理想点的区间评价方法[J].预测, 1996, 8 (5) :60~61 link1

[ 4 ] 李伟军, 叶 飞.灰色关联度的区间评价方法探讨[J].系统工程与电子技术, 2001, 23 (2) :55~57 link1

[ 5 ] 党耀国, 刘思峰, 王建平.基于多指标灰靶决策模型的研究[J].统计与决策, 2004, (3) :29~30 link1

[ 6 ] 王文平.灰靶决策的效用理论研究[J].华中理工大学学报, 1997, 25 (增刊) , 89~91 link1

[ 7 ] 向跃霖.治污投资方向选择的灰靶决策法[J].化工环保, 1996, 16 (2) :102~106 link1

[ 8 ] 侯 昶.对旧有建筑物鉴定的灰靶决策[J].工业建筑, 1995, 25 (7) :7~10 link1

[ 9 ] LiuSifeng, LinYi.AnIntroductiontoGreySystems:Foundations, MethodologyandApplications[M].SlippryRock:IIGSSAcademicPublisher, 1998.120~155

[10] 刘思峰, 党耀国, 方志耕.灰色系统理论及其应用 (第3版) [M].北京:科学出版社, 1998 link1

[11] 邓聚龙.灰预测与灰决策[M].武汉:华中科技大学出版社, 2002 link1

[12] 邓聚龙.灰理论基础[M].武汉:华中科技大学出版社, 2002 link1

Related Research