[1] Gong Yanbing, Chen Senfa,. Multi-attribute decision-making based on subjective andobjective integrated eigenvector method [J]. Journal of Southeast University (English Edition), 2007, 23 (1): 144-147. [doi:10.3969/j.issn.1003-7985.2007.01.029]
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Multi-attribute decision-making based on subjective andobjective integrated eigenvector method(
)
多属性决策的主客观结合特征向量方法
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 23
- Issue:
- 2007 1
- Page:
- 144-147
- Research Field:
- Economy and Management
- Publishing date:
- 2007-03-30
Info
- Title:
- Multi-attribute decision-making based on subjective andobjective integrated eigenvector method
- 多属性决策的主客观结合特征向量方法
- Author(s):
- Gong Yanbing; Chen Senfa
- School of Economics and Management, Southeast University, Nanjing 210096, China
- PACS:
- C934
- DOI:
- 10.3969/j.issn.1003-7985.2007.01.029
- Abstract:
- An integrated approach is proposed to investigate the fuzzy multi-attribute decision-making(MADM)problems, where subjective preferences are expressed by a pairwise comparison matrix on the relative weights of attributes and objective information is expressed by a decision matrix.An eigenvector method integrated the subjective fuzzy preference matrix and objective information is proposed.Two linear programming models based on subjective and objective information are introduced to assess the relative importance weights of attributes in an MADM problem.The simple additive weighting method is utilized to aggregate the decision information, and then all the alternatives are ranked.Finally, a numerical example is given to show the feasibility and effectiveness of the method.The result shows that it is easier than other methods of integrating subjective and objective information.
- 研究了结合主观和客观信息的模糊多属性决策问题, 其中主客观信息分别由属性权重的两两比较矩阵和决策矩阵组成.提出一种结合主观和客观信息的特征向量决策方法, 给出了2种求解基于主客观特征向量法的模糊多属性决策方法.这种方法通过求解2个线性目标规划模型得到最优属性权重, 然后, 通过对决策信息进行简单的加权集结, 得到所有方案的排序结果.最后, 通过一个算例说明了该方法的实用性和有效性.结果表明, 该方法要比其他主客观结合多属性决策方法简单.
References:
[1] Chen S J, Hwang C L.Fuzzy multiple attribute decision-making:methods and applications [M].New York:Springer, 1992.
[2] Chiclana F, Herrera F, Herrrea-Viedma E.Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relation [J].Fuzzy Sets and Systems, 1998, 97(1):33-48.
[3] Ma J, Fan Z P, Huang L H.A subjective and objective integrated approach to determine attribute weights [J].European Journal of Operational Research, 1999, 112:397-404.
[4] Xu X.A note on the subjective and objective integrated approach to determine attribute weights [J].European Journal of Operational Research, 2004, 156:530-532.
[5] Fan Z P, Ma J, Zhang Q.An approach to multiple attribute decision-making based on fuzzy preference information on alternatives [J].Fuzzy Sets and Systems, 2002, 131(1):101-106.
[6] Wang Y M, Parkan C.Multiple attribute decision-making based on fuzzy preference information on alternatives:ranking and weighting [J].Fuzzy Sets and Systems, 2005, 153(3):331-346.
[7] Fan Z P, Hu G F, Xiao S H.A method for multiple attribute decision-making with the fuzzy preference relation on alternatives [J].Computers & Industrial Engineering, 2004, 46(2):321-327.
[8] Chiclana F, Herrera F, Herrera-Viedma E.Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations[J].Fuzzy Sets and Systems, 2001, 122(2):277-291.
[9] Fan Z P, Xiao S H, Hu G F.An optimization method for integrating two kinds of preference information in group decision-making [J].Computers & Industrial Engineering, 2004, 46(2):329-335.
[10] Saaty T L.The analytic hierarchy process [M].New York: McGraw-Hill, 1980.
Memo
- Memo:
- Biographies: Gong Yanbing(1979—), male, graduate;Chen Senfa(corresponding author), male, professor, chensenfa@163.com.