×

Establishing strict dominance between alternatives with special type of incomplete information. (English) Zbl 0917.90213

Summary: A special model for establishing dominance with decision maker’s incomplete information is proposed in multi-attribute decision problem under certainty. Incomplete information is a set of linear inequalities about utilities as well as attribute weights. Since a general model presented in a prior work uses a linear programming technique, a number of linear programs should be solved for checking dominance. With the proposed method, we can check strict dominance between alternatives by simple matrix operation without solving linear programs, thus reducing computational time.

MSC:

90B50 Management decision making, including multiple objectives
91B06 Decision theory
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Cook, W. D.; Kress, M., A multiple criteria decision model with ordinal preference data, Eur. J. Opl Res., 54, 191-198 (1991) · Zbl 0741.90039
[2] Hannan, E. L., Obtaining nondominated priority vectors for multiple objective decisionmaking problems with different combinations of cardinal and ordinal information, IEEE Trans. Syst. Man Cybern., 11, 538-543 (1981) · Zbl 0465.90001
[3] Kirkwood, C. W.; Sarin, R. K., Ranking with partial information: a method and an application, Operations Research, 33, 38-48 (1985) · Zbl 0569.90052
[4] Kmietowicz, Z. W.; Pearman, A. D., Decision theory, linear partial information and statistical dominance, Omega, 12, 391-399 (1984) · Zbl 0549.90056
[5] Kofler, E.; Kmietowicz, Z. W.; Pearman, A. D., Decision making with linear partial information (L.P.I.), J. Opl Res. Soc., 35, 1079-1090 (1984) · Zbl 0549.90056
[6] Park, K. S.; Kim, S. H., Tools for interactive multi-attribute decisionmaking with incompletely identified information, Eur. J. Opl Res. (1995), To apear in
[7] Pearman, A. D., Establishing dominance in multi-attribute decision making using an ordered metric method, J. Opl Res. Soc., 44, 461-469 (1993) · Zbl 0774.90052
[8] Sarin, R. K., Elicitation of subjective probabilities in the context of decisionmaking, Decision Sciences, 9, 37-48 (1978)
[9] Weber, M., A method of multi-attribute decision making with incomplete information, Management Science, 31, 11, 1365-1371 (1985) · Zbl 0594.90046
[10] Weber, M., Decision making with incomplete information, Eur. J. Opl Res., 28, 44-57 (1987) · Zbl 0604.90004
[11] White, C. C.; Sage, A. P.; Dozono, S., A model of multi-attribute decisionmaking and trade-off weight determination under uncertainty, IEEE Trans. Syst. Man Cybern., 14, 223-229 (1984)
[12] Yoon, K.; Kim, G., Multiple attribute decision making with imprecise information, IIE Trans., 21, 1, 21-26 (1989)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.