多专家判断的模糊偏好信息集结规划方法

中国管理科学 ›› 2005, Vol. ›› Issue (4): 74-77.

多专家判断的模糊偏好信息集结规划方法

王国华, 梁樑, 熊立

中国科学技术大学商学院, 合肥, 230026

收稿日期:2004-03-04 修回日期:2005-03-18 出版日期:2005-08-28 发布日期:2012-03-07
基金资助:
国家自然科学基金资助项目(70371023);教育部博士点基金资助项目(20030358052)

Synthesizing Judgment Information of Experts by Fuzzy Programming Method

WANG Guo-hua, LIANG Liang, XIONG Li

Business School, University of Science and Technology of China, Hefei 230026, China

Received:2004-03-04 Revised:2005-03-18 Online:2005-08-28 Published:2012-03-07

摘要/Abstract

摘要： 本文给出了一种群决策中通过专家判断矩阵集结专家判断信息的方法。在考虑各专家具有不同强度的偏好效用和容许部分专家给出不完整信息的情况下,将专家判断信息集结转化为一类模糊规划问题,通过最大化群组满意度获得最终的群决策结果。最后,本文通过一个算例说明该方法的可行性及有效性。

关键词: AHP, 群决策, 模糊线性规划, 偏好强度, 不完整信息

Abstract: This paper proposes a new method of synthesizing judgment information provided by multiple decision makers.The assessment of the group priorities is formulated as a fuzzy linear programming problem,maximizing the group’s overall satisfaction to get the group solution. The method can easily deal with missing judgments and different partiality intensity by decision makers. At the end,the method is explained by an example.

Key words: AHP, group decision, fuzzy linear programming, preference power, incomplete information

中图分类号:

O223
C931

王国华, 梁樑, 熊立. 多专家判断的模糊偏好信息集结规划方法[J]. 中国管理科学, 2005, (4): 74-77.

WANG Guo-hua, LIANG Liang, XIONG Li. Synthesizing Judgment Information of Experts by Fuzzy Programming Method[J]. Chinese Journal of Management Science, 2005, (4): 74-77.

参考文献

[1] 程启月,邱菀华.群决策与个体决策的一致性分析[J].中国管理科学,2001,9(5):32-37.
[2] 王欣荣,樊治平.群决策中基于语言信息处理的一种理想点法[J].中国管理科学,2002,10(6):84-87.
[3] 李元左.广义判断下的群决策方法[J].系统工程,2000,18(2):76-80.
[4] 王莲芬.相容性与群组决策[J].系统工程理论与实践,2000,(2):92-96.
[5] Bodily S E. A delegation process for combining individual utility function[J]. Management Science, 1979,25 (10).
[6] Brock H W. The problem of utility weights in group preference aggregation [J]. Operations Research, 1980, 28 (1):176-187.
[7] Krzyszto fowica R, Duck stein L.Preference criterion for flood control under uncertainty [J]. Water Resources Research, 1979,15 (3): 513-520.
[8] Moskowitz H, Prockel P V, yang A. multi-criteria robust interactive decision analysis for optimizing public policies[J]. European Journal of Operational Research, 1992, 56(2) :219-236.
[9] Salo A A. Interactive decision aiding for group decision support[J]. European Journal of Operational Research, 1995,84(1) :134-149.
[10] Satty T.L., The Analytic Hierarchy Process[M].New York: Mc Graw-Hill, 1980.
[11] 梁樑,王国华.多专家判断信息的一种聚类分析方法[J].系统工程理论方法应用,2003,(4):
[12] 王仁超,张立岗,顾培亮.一种基于满意与公正的群决策方法[J].系统工程学报,2000,(3):76-79.
[13] Ernest Forman, Kirit Peniwati. Aggregating individual judgments and priorities with the Analytic Hierarchy Process[J]. European Journal of Operaonal Research, 1998,108:165-169.
[14] F. Herrera, E. Herrera-Viedma, F. Chiclana. Multi-person decision-naking based in multiplicative preference relations [J]. European Journal of Operational Research,2001,129:372-385.
[15] F. Chiclana, F. Herrera, E. Herrera-Viedma. Integrating three representation models in fuzzy multipurpose decision-making based in fuzzy preference relations [J]. Fuzzy Sets and Systems, 1998,97:33-48.
[16] L.Mikhailov. Group prioritization in the AHP by fuzzy preference programming method[J]. Computers & Operations Research,2004,31: 293-301.
[17] 肖四汉,樊治平,王梦光.群决策中两类判断矩阵的一种集成方法[J].控制与决策,2001,16(5):569-572.
[18] 李洪燕,樊治平.群体决策中两种不同偏好信息的集成方法[J].东北大学学报,2000,12(3):336-338.
[19] Soung Hie Kim,Byeong Seok Ahn. Interactive group decision making procedure under incomplete information[J].European Journal of Operational Research, 1999,116: 498-507.
[20] Soung Hie Kim,Byeong Seok Ahn.Group decision making procedure considering preference strength under incomplete information[J]. Computer operation resource, 1997,24:1101-1112.
[21] 廖貅武,唐焕文.基于不完全信息的一种群决策方法[J].大连理工大学学报,2002,(1):122-126.