[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()

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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

Author(s):

Gong Yanbing;  Chen Senfa

School of Economics and Management, Southeast University, Nanjing 210096, China

Keywords:

multi-attribute decision-making;  eigenvector method;  alternative ranking

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.

References:

[1] Chen S J, Hwang C L.Fuzzy multiple attribute decision-making:methods and applications [M].New York:Springer, 1992.
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[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.

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