群体两两比较判断集成的最短距离方法

Abstract

Abstract: The general distance concept proposed by Yu and Cook et al.is used to solve the group decision mak-ing problems.Based on the principle of AHP,the aggregation problem for group decision making is defined,the existing approaches of pairwise comparison judgments aggregation are reviewed,and a new aggregation method called Minimum Distance Method(MDM)for group decision making is proposed,and numerical illustrations are given to demonstrate the applicability of MDM.Finally,some possible future research directions in group decision making and AHP related areas are put forward.

Key words: group decision making, analytic hierarchy process(AHP), aggregating method, pairwise comparison judgment, minimum distance

CLC Number:

F8301.9

FENG Jun-wen. Minimum Distance Method for Group Pairwise Comparison Judgments[J]. Chinese Journal of Management Science, 2004, (5): 124-130.

References

[1] Saaty,T. L The Analytic Hierarchy Process[M]. McGraw - Hill, New York, 1980.
[2] Zahedi F. A simulation study of estimation methods in the analytic hierarchy process [J]. Socio - Economic Planning Sciences, 1986,20: 347 - 354.
[3] Crawford G. and C. Williams. The geometric mean procedure for estimating the scale of a judgment matrix [J].Mathematical Modeling, 1987,9: 327 - 334.
[4] Johnson C. R. et al. A note on right- left asymmetry in eigenvector ranking procedure[J]. Journal of Mathematical Psychology, 1979,19 (1): 61 - 64.
[5] Chu A. T. W. et al. A comparison of the eigenvalue method and the geometric mean procedure for ratio scaling [J]. Applied Psychological Measurement, 1986,10: 69 -78.
[6] Kocaoglu D. F. A participative approach to program evaluation [J]. IEEE Transactions on Engineering Management, 1983,30(3) :55 -61.
[7] Ra J. W. Analysis of the column- row sums approach for pairwise comparisons, unpublished M. S. Thesis [D].School of Engineering, University of Pittsburgh, 1987.
[8] Ra J. W. Analysis of expert judgments in hierarchical decision process [D]. Ph. D. Dissertation,University of Pittsburgh, 1988.
[9] Zhou S. D. The development and evaluation of aggregation methods for group pairwaise comparison judgments [D].Ph. D. dissertation,Portland State University, 1995.
[10] Aczel C. and T. L. Saaty. Procedures for synthesizing ratio judgments[J]. Journal of mathematical Psychology,1983,27: 93 - 102.
[11] Aezel C. and T. L. Saaty. Synthesizing judgments:a functional equation approach [J]. Mathematical Modeling, 1987,9:311 - 320.
[12] Aczel C. and T. L. Saaty. On synthesis of judgments [J]. Socio - Economic Planning Sciences, 1986,20: 333- 339.
[13] Kemeny J. G. and L. J. Snell. Preference Ranking:Axiomatic Approach[M]. Ginn and Co. ,Boston, 1962.
[14] Yu. P. L. A class of solutions for group decision problems [J]. Management Science, 1973,19 (8): 936 - 946.
[15] Cook W. D. and K. Moshe,Deriving weights from pariwise comparison ratio matrices: an axiomatic approach[J]. European Journal of Operational Research, 1988,37:355 -362.

Minimum Distance Method for Group Pairwise Comparison Judgments

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