On Method for Uncertain Multiple Attribute Decision Making Problems with Uncertain Multiplicative Preference Information on Alternatives

作者: Zeshui Xu

DOI: 10.1007/S10700-004-5869-2

关键词:

摘要: The uncertain multiple attribute decision making (UMADM) problems are investigated, in which the information about weights is known partly and values take form of interval numbers, maker (DM) has multiplicative preference on alternatives. We make uniform by using a transformation formula, then establish an objective-programming model. can be determined solving developed concept positive ideal point alternatives (IPIPA) introduced, approach based IPIPA projection to ranking proposed. method avoid comparing reflect both objective DM's subjective preferences.

参考文章(15)
W. Krelle, C. L. Hwang, Martin J. Beckmann, Shu-Jen J. Chen, Multiple Attribute Decision Making: Methods and Applications ,(1981)
Ronald R. Yager, Janusz Kacprzyk, The Ordered Weighted Averaging Operators: Theory and Applications Kluwer Academic Publishers. ,(1997)
Kwangsun Yoon, The Propagation of Errors in Multiple-attribute Decision Analysis: A Practical Approach Journal of the Operational Research Society. ,vol. 40, pp. 681- 686 ,(1989) , 10.1057/JORS.1989.111
Noel Bryson, Ayodele Mobolurin, An action learning evaluation procedure for multiple criteria decision making problems European Journal of Operational Research. ,vol. 96, pp. 379- 386 ,(1997) , 10.1016/0377-2217(94)00368-8
Kyung Sam Park, Kyung Sang Lee, Yun Seong Eum, Kwangtae Park, Extended methods for identifying dominance and potential optimality in multi-criteria analysis with imprecise information European Journal of Operational Research. ,vol. 134, pp. 557- 563 ,(2001) , 10.1016/S0377-2217(00)00277-0
Thomas L. Saaty, Luis G. Vargas, Uncertainty and rank order in the analytic hierarchy process European Journal of Operational Research. ,vol. 32, pp. 107- 117 ,(1987) , 10.1016/0377-2217(87)90275-X
M. Sajjad Zahir, Incorporating the uncertainty of decision judgements in the analytic hierarchy process European Journal of Operational Research. ,vol. 53, pp. 206- 216 ,(1991) , 10.1016/0377-2217(91)90135-I
John C. Harsanyi, Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility Journal of Political Economy. ,vol. 63, pp. 6- 23 ,(1955) , 10.1007/978-94-010-9327-9_2
Xu Ruoning, Zhai Xiaoyan, Extensions of the analytic hierarchy process in fuzzy environment Fuzzy Sets and Systems. ,vol. 52, pp. 251- 257 ,(1992) , 10.1016/0165-0114(92)90236-W