Research on Error-eliminating Decision-making Method Under Uncertainty

Operations Research and Management Science ›› 2013, Vol. 22 ›› Issue (6): 99-104.

• Theory Analysis and Methodology Study • Previous Articles Next Articles

Research on Error-eliminating Decision-making Method Under Uncertainty

HUANG Hao-ran^1,2, GUO Kai-zhong²

1. Information College, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China;
2. School of Management, Guangdong University of Technology, Guangzhou 510520, China

Received:2012-05-26 Online:2013-12-25

不确定性环境下消错决策方法的研究

黄灏然^1,2, 郭开仲²

1.仲恺农业工程学院信息学院,广东广州 510225;
2.广东工业大学管理学院,广东广州 510520

作者简介:黄灏然(1982-),男,汉,广东汕头人,在读博士,讲师,研究方向:管理系统工程、消错理论;郭开仲(1951-),男,四川安岳人,教授,博导,研究方向:系统工程、消错理论。
基金资助:
国家社会科学基金资助项目(09BTQ008);广州市软科学研究专项资助项目(2011J1300013)

Abstract

Abstract: In the study of Decision Making under Uncertainty(DMUU), this paper putsforward two hypotheses and the concept of Error. Then the paper presents the concept of error-absolute-lost value and builds an error-absolute-lost matrix. Three decision-making methods as Error-Eliminating Centrifugation, Error-Eliminating TOPSIS and Error-Eliminating Projection are given. Finally, the paper combines the three methods by the method of Copeland and builds a compound decision-making model. An example is used to demonstrate the feasibility and effectiveness of this model.

Key words: decision science, error-eliminating decision making method, error eliminating theory, error-loss, uncertainties

摘要： 针对不确定性决策问题,本文首先给出了错误的概念并提出本研究的两个假设前提,然后在此基础上引出错误绝对损失值的概念,根据错误绝对损失值构建错误绝对损失矩阵。进而构建了消错离心法、消错理想点法和消错投影法三种决策方法。为构建消错组合决策模型,采用Copeland法对上述三种消错决策方法进行组合。最后通过实例说明该方法的有效性和可行性。

关键词: 决策科学, 消错决策方法, 消错理论, 错误损失, 不确定

CLC Number:

N945.16
C934

HUANG Hao-ran, GUO Kai-zhong. Research on Error-eliminating Decision-making Method Under Uncertainty[J]. Operations Research and Management Science, 2013, 22(6): 99-104.

黄灏然, 郭开仲. 不确定性环境下消错决策方法的研究[J]. 运筹与管理, 2013, 22(6): 99-104.

References

[1] 王晓勇,楼佩煌,敦兵.基于信息量的不确定型多属性决策方法[J].运筹与管理,2012,21(1):64-69.
[2] Van Nam Huynh, Yoshiteru Nakamori, Mina Ryoke, et al. Decision making under uncertainty with fuzzy targets[J]. Fuzzy Optimization and Decision Making, 2007, (3): 255-278.
[3] Pya ekel, Martini J S C, Palhares R M. Multicriteria analysis in decision making under information uncertainty[J]. Applied Mathematics and Computation, 2008, 200(2): 501-516.
[4] Mahdi Zarghamia, Ferenc Szidarovszkyb. Revising the OWA operator for multi criteria decision making problems under uncertainty[J]. European Journal of Operational Research, 2009, 198(1): 259-265.
[5] 汪新凡,杨小娟.基于FV-OWA 算子的不确定多属性决策方法[J].系统工程与电子技术,2009,31(2):380-383.
[6] 叶跃祥,糜仲春,王宏宇等.基于贝叶斯网络的不确定环境下多属性决策方法[J].系统工程理论与实践,2007,(4):107-113.
[7] Rajendra Srivastava P. An introduction to evidential reasoning for decision making under uncertainty: bayesian and belief function perspectives[J]. International Journal of Accounting Information Systems ,2011, 12(2): 126-135.
[8] Ian Durbach N, Theodor Stewart J. Using expected values to simplify decision making under uncertainty[J]. Omega, 2009, 37(2): 312-330.
[9] 尹德进,王宏力.基于信息熵与证据推理的不确定多属性决策方法[J].计算机应用,2011,31(5):1308-1310.
[10] James Reneke A. A game theory formulation of decision making under conditions of uncertainty and risk[J]. Nonlinear Analysis: Theory, Methods & Applications, 2009, 71(12): 1239-1246.
[11] Kaveh Madania, Jay Lundb R. A monte-carlo game theoretic approach for multi-criteria decision making under uncertainty[J]. Advances in Water Resources, 2011, 34(5): 607-616.
[12] 朱佳俊,郑建国,覃朝勇.不确定条件下多目标多维可拓群决策的优化及其应用[J].科学学与科学技术管理,2009,(8):24-29.
[13] Jiajun Zhu, Jianguo Zheng, LI Jinbing et al.. Intelligent recognition of extension group decision-making under uncertainty[J]. Systems Engineering Procedia, 2012,3: 290-296.
[14] Xilin min, Kaizhong Guo. Research on the application of fuzzy error logical in system optimization[C]. 2008 IEEE International Symposium on Knowledge Acquisition and Modeling Workshop Proceedings. Wuhan: IEEE Conference Publications, 2008:147-149.
[15] 闵惜琳.错误矩阵方程[M].北京:科学出版社,2012:1-20.
[16] 郭开仲.错误系统[M].北京:科学出版社,2012:1-3.
[17] 刘牧.经济人假说的现象学分析[J].西安交通大学学报(社会科学版),2011,31(1):27-32
[18] Lu Lingxia, Wang Xianzhe. New view of Human nature hypothesis the new enlightenment that happy-man hypothesis brings to the management field[C]. BMEI 2011-Proceedings 2011 International Conference on Business Management and Electronic Information. Guangdong: IEEE Computer Society, 2011: 385-388.
[19] Zhang Lei, Zhang Zhen. Employee voluntary turnover based on human nature hypothesis[C]. 2011 International Conference on E-Business and E-Government, ICEE2011-Proceedings. Shanghai: IEEE Computer Society,2011: 8532-8535.
[20] 马本江,徐晨.论存在经济人假设经济机制设计与效率不减原理[J].经济问题,2011,(12):4-9.
[21] 陈美衍.“经济人”假设与人的有限理性[J].经济评论,2006,(5):21-25.
[22] 梁东黎.论经济人假设在经济研究中的合理性[J].江苏社会科学,2006,(1):102-108.
[23] 彭凯平.经济人的心理博弈:社会心理学对经济学的贡献与挑战[J].中国人民大学学报,2009,(3): 61-69.
[24] 刘思峰,党耀国,方志耕等.灰色系统理论及其应用(第五版)[M].北京:科学出版社,2010:253-256.
[25] Anjali Awasthi, Satyaveer Chauhan S. A hybrid approach integrating affinity diagram, AHP and fuzzy TOPSIS for sustainable city logistics planning[J]. Applied Mathematical Modelling, 2012, 36(2): 573-584.
[26] Alecos Kelemenis, Kostas Ergazakis, Dimitrios Askounis. Support managers' selection using an extension of fuzzy TOPSIS[J]. Expert Systems with Applications, 2011, 38(3): 2774-2782.
[27] 王中兴,张绍林,王根杰.一种基于投影的多属性决策方法[J].运筹学报,2007, 11(增刊):203-206.
[28] 陈国宏,李美娟,陈衍泰.组合评价及其计算机集成系统研究[M].北京:清华大学出版社,2007.
[29] 于明洁,郭鹏,朱煜明.基于方法集的棕地再开发项目组合评价研究[J].运筹与管理,2011,20(3):119-126.

Research on Error-eliminating Decision-making Method Under Uncertainty

不确定性环境下消错决策方法的研究

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 6

Recommended Articles

Metrics

[1]	WANG Shi-lei, QU Shao-jian, LIU Zhi-min, MA Gang. A Method for Winner Determination for Online Multi-attribute Reverse Auction under Mixed Uncertain Situations based on Prospect Theory [J]. Operations Research and Management Science, 2020, 29(6): 187-197.
[2]	YU Dong-mei, GAO Lei-fu, ZHAO Shi-jie. A Maximum Covering Location Model for Emergency Facility Considering Shared Uncertainties [J]. Operations Research and Management Science, 2020, 29(12): 43-50.
[3]	CAO Bo-yang, JIANG Ming-hui. The R&D Project Investment Decision Analysis under Coopetition Condition [J]. Operations Research and Management Science, 2017, 26(11): 111-119.
[4]	LIU Jun, TAN De-qing, LI Liang, XIE Hui-qing. Study on Product Positioning-price Decision Making, Channel Structure and Welfare [J]. Operations Research and Management Science, 2017, 26(10): 112-120.
[5]	SUO Wei-lan. Linguistic Multiple Attribute Group Decision Making Method Based on 2-Tuple Linguistic TAC Integral Operator [J]. Operations Research and Management Science, 2016, 25(2): 63-70.
[6]	HUANG Hao-ran, YU Shou-hua, GUO Kai-zhong. Method for Hybrid Multi-attribute Error-eliminating Decision-making under Risk [J]. Operations Research and Management Science, 2015, 24(1): 122-128.