基于决策者风险态度的多准则决策的Vague集方法

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (2): 361-365.

基于决策者风险态度的多准则决策的Vague集方法

王坚强, 孟利宇, 陈晓红

中南大学商学院, 湖南, 长沙, 410083

收稿日期:2007-10-28 修回日期:2008-03-15 出版日期:2009-02-20 发布日期:2010-01-03
作者简介:王坚强(1963- ),男,教授,博士,主要研究方向为决策理论与应用,风险管理与控制,物流管理,信息管理.E-mial:jpwang@csu.edu.cn
基金资助:
国家自然科学基金重点项目(70631004);国家自然科学基金(70771115);湖南省科技计划项目(2008FJ3128);湖南省哲学社会科学评审委员会项目(0608064A)资助课题

Multi-criteria decision-making method based on vague sets and risk attitudes of decision makers

WANG Jian-qiang, MENG Li-yu, CHEN Xiao-hong

School of Business, Central South Univ., Changsha 410083, China

Received:2007-10-28 Revised:2008-03-15 Online:2009-02-20 Published:2010-01-03

摘要/Abstract

摘要：

决策时应该考虑到决策者的风险态度,决策者的风险态度对决策结果有重要的影响.现有的基于Vague集的记分函数法没有考虑到决策者的风险态度,存在不足.分析了现有的基于Vague集记分函数法在决策时存在的局限性和不足,考虑到决策者的风险态度,提出了Vague集的决策者态度函数,同时进一步提出了三种新的记分函数.通过运用这三种记分函数有效地解决了决策时存在的局限性和不足,能够提供更为合理、精确的决策排序.

Abstract:

Decision-making should take into account the risk attitude of decision maker,the attitude of decision maker has great impact on the decision-making results.Existing score functions of vague set haven't consider the risk attitude of decision maker and all have flaws.Analysis the limitations and deficiencies of existing score functions of vague set,take into account the risk attitude of decision maker,decision makers' attitude function of vague set and three new score functions are provided.Through the use of new score functions the mistakes and limitations in decision making are solved,and also can provide more reasonable and accurate decisions.

中图分类号:

C934

王坚强, 孟利宇, 陈晓红. 基于决策者风险态度的多准则决策的Vague集方法[J]. Journal of Systems Engineering and Electronics, 2009, 31(2): 361-365.

WANG Jian-qiang, MENG Li-yu, CHEN Xiao-hong. Multi-criteria decision-making method based on vague sets and risk attitudes of decision makers[J]. Journal of Systems Engineering and Electronics, 2009, 31(2): 361-365.

参考文献

[1] Kickert W J M.Fuzzy theories on decision making:a critical review[M].Boston:Kluwer Academic Publishers,1978.
[2] Zadeh L A.Fuzzy sets[J],lnformand Control,1965,8:338-356.
[3] Zimmermann H J.Fuzzy sets,decision making,and expert system[M].Boston:Kluwer Academic Publishers,1987.
[4] Chen S M.A new approach to handling fuzzy decision-making problems[J].IEEE Transactions on Systems Man and Cybernetics,1988,18:1012-1017.
[5] Gau W L,Buehrer D J.Vague sets[J].IEEE Trans SystMan Cybern,1993,23(2):610-614.
[6] Bustince H,Burillo P.Vague sets are intuitionistie fuzzy sets[J].Fuzzy Sets and Systems,1996,79(3):403-405.
[7] A tanassov K.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96.
[8] Chen S M,Tan J M.Handling multi-criteria fuzzy decision-making problems based on vague set theory[J].Fuzzy Sets and Systems,1994,67(2):163-172.
[9] Hong D H,ChoiC H.Multi-criteria fuzzy decision-making problems based on vague set theory[J].Fuzzy Sets and Systems,2000,114:103-113.
[10] 李凡,卢安,蔡立晶.基于Vague集的多目标模糊决策方法[J].华中科技大学学报,2001,29(7):1-3.
[11] 李凡,饶勇.基于Vague集的加权多目标模糊决策方法[J].计算机科学,2001,28(7):60-65.
[12] 刘华文.多目标模糊决策的Vague集方法[J].系统工程理论与实践,2004,5:103-109.
[13] 张韬,等.基于Vague集模糊多准则决策记分函数法改进性探讨[J].系统工程.2006,24(7):120-123.
[14] 林立贵,徐立中,王建颖.基于Vague集的多目标模糊决策方法[J].计算机工程,2005,31(5);11-13.
[15] 马志锋,邢汉承.Vague决策表中的含糊规则获取策略[J].计算机学报,2001,24(4):382-389.
[16] Wang Jue,ghang Jie,Liu San-yang.A new score function for fuzzy MCDM based on vague set theory[J].International Journal of Computational Cognition,2006,4(6):44-48.
[17] Jun Ye.Improved method of multicriteria fuzzy decision-making based on vague sets[J].Computer-Aided Design,2007,39:164-169.