Water Quality Comprehensive Evaluation Model of Multiple-Attribute Decision Making Based on Variable Weight Function

doi:10.12005/orms.2016.0089

Operations Research and Management Science ›› 2016, Vol. 25 ›› Issue (3): 99-105.DOI: 10.12005/orms.2016.0089

• Theory Analysis and Methodology Study • Previous Articles Next Articles

Water Quality Comprehensive Evaluation Model of Multiple-Attribute Decision Making Based on Variable Weight Function

ZHOU Rong-xi^1,2, XU Bu-xiang¹, SHAN Xin-tao¹, ZHANG Ying-kui¹

1.School of Economics and Management, Beijing University of Chemical Technology, Beijing 100029, China;
2.School of Finance and Banking, University of International Business and Economics, Beijing 100029, China

Received:2013-12-05 Online:2016-06-25

基于变权函数的水质综合评价多属性决策模型

周荣喜^1,2,徐步祥¹,单欣涛¹,张英奎¹

1.北京化工大学经济管理学院,北京 100029;
2.对外经济贸易大学金融学院,北京 100029

通讯作者: 张英奎(1956-),男,北京人,教授,研究方向:管理决策等。
作者简介:周荣喜 (1972-),男,江西崇仁人,博士、教授,研究方向:决策理论等;徐步祥(1989-),男,内蒙古呼和浩特人,硕士生,研究方向:决策理论及应用;单欣涛(1987-),男,广西桂林人,硕士生,研究方向:决策理论
基金资助:
国家自然科学基金资助项目(70871002,71171012);中央高校基本科研业务费专项资金项目。

Abstract

Abstract: The paper develops a comprehensive evaluation multi-attribute decision-making model of water quality on the basis of the variable weight function from the perspective of practical operation. Firstly, a univocal parametric description for the differences among the degree of concern and the performance level as well as compromise mechanism related to indicators is given. Secondly it ensures that the index weight with different performances of the sample can carry out a controlled redistribution in mechanism, which guarantees that performance indicators that are in a high degree of concern always have a relatively large influence on the evaluation. Moreover, it can highly differentiate in the case of samples with the similar performance. Finally, some numerical examples of water quality evaluation are analyzed and discussed.

Key words: management science, variable weight function, multi-attribute decision making, comprehensive assessment of water quality, entropy weight

摘要： 从实际操作角度出发,本文构建了一种基于变权函数的水质综合评价多属性决策模型。首先,对水质评价中需要考虑的指标关注程度差异、指标表现程度差异及相关的妥协机制均进行了意义明确的参数化描述。其次,在机理上保证了指标权重随样本表现上的差异能进行有控制的再分配,同时,在结果上保证了较高的关注指标的表现对综合评价值始终具有相对较高的影响力,而且在样本表现相近的情形下又保持较高的区分度。最后,结合水质综合评价算例进行了分析与讨论。

关键词: 管理科学, 水质综合评价模型, 变权函数, 熵权, 水质

CLC Number:

C934

ZHOU Rong-xi, XU Bu-xiang, SHAN Xin-tao, ZHANG Ying-kui. Water Quality Comprehensive Evaluation Model of Multiple-Attribute Decision Making Based on Variable Weight Function[J]. Operations Research and Management Science, 2016, 25(3): 99-105.

周荣喜,徐步祥,单欣涛,张英奎. 基于变权函数的水质综合评价多属性决策模型[J]. 运筹与管理, 2016, 25(3): 99-105.

References

[1] 金菊良,汪淑娟,魏一鸣.动态多指标决策问题的投影寻踪模型[J].中国管理科学,2004, 12(1) :65-68.
[2] 金菊良,魏一鸣,丁晶.水质综合评价的投影寻踪模型[J].环境科学学报,2001,21(4) :431-434.
[3] 冯梅.水环境质量评价、预测的数学模型探讨及其应用[J].运筹与管理,2008,17(6):163-169.
[4] Cordoba E B, Mart’nez A C, Ferrer E V. Water quality indicators comparison of a probabilistic index and a general quality index. the case of the Confederación Hidrográfica del Júcar[J]. Ecological Indicators, 2010, 10: 1049-1054.
[5] Artell J, Ahtiainen H, Pouta E, Subjective V S. objective measures in the valuation of water quality[J]. Journal of Environmental Management, 2013, 130: 288-296.
[6] Wong H, Hu B Q. Application of interval clustering approach to water quality evaluation[J]. Journal of Hydrology, 2013, 419: 1-12.
[7] 郭亚军.综合评价理论、方法及应用[M].北京:科学出版社,2007.
[8] 周荣喜,单欣涛,杨杰,杨晓进.基于熵权的区间型多属性决策方法在湖泊水质评价中的应用[J].环境科学学报,2013,33(3):910-917.
[9] 周荣喜,范福云,杨晓进.基于多属性决策方法的饮用水健康风险全面评价[J].环境科学与管理,2011,36(3):158-162.[10] 徐泽水,达庆利.多属性决策的组合赋权方法研究[J]. 中国管理科学,2002,10(2):84-87.
[11] Yan H, Wei Q. Determining compromise weights for group decision making[J]. Journal of the Operational Research Society, 2002, 53(6): 680-687.
[12] 徐泽水.不确定多属性决策方法及应用[M].北京:清华大学出版社,2004
[13] 马永红,周荣喜,李振光.基于离差最大化的决策者权重的确定方法[J] .北京化工大学学报,2007,34(2):178-180.
[14] 郭凯红,李文立.权重信息未知情况下的多属性群决策方法及其拓展[J].中国管理科学,2011,19(5):94-103.
[15] 齐照辉, 张为华,范玉珠.一种新型的多属性决策权重计算方法[J].运筹与管理,2006,15(3):36-39.
[16] 周荣喜,范福云,何大义,邱菀华.多属性群决策中基于数据稳定性与主观偏好的综合熵权法[J].控制与决策,2012,27(8):1169-1174.
[17] Ribeiro R A, Pereira R M. Generalized mixture operators using weighting functions a comparative study with WA and OWA[J]. European Journal of Operational Research, 2003, 145: 329-342.
[18] 金菊良,魏一鸣.复杂系统广义智能评价方法与应用[J].北京:科学出版社,2008.
[19] 李如忠,汪明武,金菊良.地下水环境风险的模糊多指标分析方法[J].地理科学,2010,30(2) :229-235.
[20] GB5749-2006.中华人民共和国国家标准生活饮用水卫生标准[S].2006.

Water Quality Comprehensive Evaluation Model of Multiple-Attribute Decision Making Based on Variable Weight Function

基于变权函数的水质综合评价多属性决策模型

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

[1]	HU Wen-fa, HE Xin-hua. Green Building Multi-Objective Optimization and Multi-arbitrate Decision Model in Its Early Design Stage [J]. Operations Research and Management Science, 2021, 30(7): 44-49.
[2]	FU Xiao-yong, ZHU Qing-hua, TIAN Yi-hui. Evolutionary Game Analysis of Government and Dissembling Enterprises Based on The System Dynamics [J]. Operations Research and Management Science, 2021, 30(7): 83-88.
[3]	FAN De-cheng, GU Xiao-mei. Study on Health Evaluation and Key Influencing Factors of Technology Innovation Ecosystem in High-tech Industries: Based on the Improved Entropy Weight-DEMATEL-ISM Method [J]. Operations Research and Management Science, 2021, 30(7): 167-174.
[4]	YANG Min, ZHANG Shi-bin, ZHANG Hang. Interval-valued Intuitionistic Fuzzy Multi-attribute Decision Making Based on New Entropy and Scoring Function [J]. Operations Research and Management Science, 2021, 30(6): 63-68.
[5]	YU Qian, LIAO Ya, CAO Jun, HOU Fu-jun. QUALIFLEX and LINMAP-based Approach for Multi-attribute Decision Making Problems with Simplified Neutrosophic Hesitant Fuzzy Sets [J]. Operations Research and Management Science, 2021, 30(6): 77-82.
[6]	LI Qing-shui, LI Deng-feng, LI Hui, YU Gao-feng. Multiple Index Evaluation of Regional Green Economic Development Level Based on Prospect Theory [J]. Operations Research and Management Science, 2021, 30(6): 118-123.
[7]	ZHU Feng, LIU Yu-min, XU Ji-chao, SU Bing-jie. Probabilistic Hesitant Fuzzy Multi-attribute Decision Making Method Based on Similarity and Improved Radar Chart [J]. Operations Research and Management Science, 2021, 30(4): 109-114.
[8]	WANG Lan-lin, LI Deng-feng. Probabilistic Linguistic Multi-attribute Variable Weighted Decision Making Method Based on Online Evaluation Information [J]. Operations Research and Management Science, 2021, 30(2): 39-44.
[9]	LIU Zheng-min, XU Hong-xue, LIU Pei-de, LIANG Xia. Intuitionistic Uncertain Linguistic Multi-attribute Decision Making Method Considering the Multi-input Relationship and Semantic Transformation [J]. Operations Research and Management Science, 2021, 30(2): 45-52.
[10]	GUO Tao, WANG Song, LI Pan-pan, GUO Zhe. Evaluation of Innovation Ability of Chinese Shipbuilding Listed Companies from the Perspective of Civil-Military Integration [J]. Operations Research and Management Science, 2021, 30(1): 114-120.
[11]	ZHU Feng, XU Ji-chao, LIU Yu-min, WANG Ning. Generalized Probabilistic Dual Hesitant Fuzzy Linguistic PowerAggregation Operators in Multi-attribute Decision Making [J]. Operations Research and Management Science, 2020, 29(10): 59-67.
[12]	ZHANG Qiang, WANG Li-ya, GENG Na, JIANG Zhi-bin. Evolutionary Game Analysis of Medical Information Sharing Based on the Government Regulation [J]. Operations Research and Management Science, 2020, 29(1): 23-31.
[13]	XU Jian-zhong, SUN Ying, SUN Xiao-guang. Study of the Environmental Innovation Capability Evaluation Model of Manufacturing Enterprises Based on Entropy Weighted TOPSIS-PSO-ELM and Empirical Research [J]. Operations Research and Management Science, 2020, 29(1): 131-140.
[14]	SUN Jin-feng, HU Xiang-pei. Decision-making Optimization Models ofDevelopment Investment in Unconventional Oil and Gas [J]. Operations Research and Management Science, 2019, 28(6): 1-10.
[15]	CUI Chun-sheng, ZHU Xiang-lin, REN Ya-dan, ZHU Xiao-meng. Study on the Method of Hesitant Fuzzy Multi-attributeDecision Making Considering the Reliability [J]. Operations Research and Management Science, 2019, 28(6): 19-24.