An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach. (English) Zbl 0946.91006

Summary: This paper presents an interactive procedure for solving a multiple attribute group decision making problem with incomplete information. The main properties of the procedure are: (1) Each decision maker is asked to express his/her preference in relation to an additive value model with incomplete preference statements. (2) A range-typed representation method for utility is used. The range-typed utility representation makes it easy to compare each group member’s utility information with a group’s one and to aggregate each group member’s utility information into a group’s one. Utility range is calculated from each group member’s incomplete information. (3) An interactive procedure is provided to help the group reach a consensus. It helps each group member to modify or complete his/her utility with ease compared to group’s utility range. (4) We formally describe theoretic models for establishing group’s pairwise dominance relations with group’s utility range by using a separable linear programming technique.


91B10 Group preferences
91B16 Utility theory
Full Text: DOI


[1] Anandaligam, G., A multiagent multiattribute approach for conflict resolution in acid rain impact mitigation, IEEE transactions on systems, man and cybernetics, 19, 1142-1153, (1989)
[2] Dyer, J.S.; Sarin, R.K., Group preference aggregation rules based on strength of preference, Management science, 25, 822-832, (1979)
[3] Fishburn, P.C., Analysis of decisions with incomplete knowledge of probabilities, Operations research, 13, 217-237, (1965) · Zbl 0137.36402
[4] Harsanyi, J.C., Cardinal welfare, individual ethics, and interpersonal comparisons of utility theory, Journal of political economy, 63, 309-321, (1955)
[5] Keeney, R.L.; Kirkwood, C.W., Group decision making using cardinal social welfare function, Management science, 22, 430-437, (1975) · Zbl 0339.90002
[6] Keeney, R.L., Raiffa, H., 1976. Decisions with Multiple Objectives: Preferences and Value Tradeoffs. Wiley, New York · Zbl 0488.90001
[7] Kenemy, J.G., Snell, L.J., 1962. Preference ranking: An axiomatic approach, Mathematical Models in the Social Sciences. Ginn, New York, pp. 9-23
[8] Kim, S.H.; Ahn, B.S., Group decision making procedure considering preference strength under incomplete information, Computers and operations research, 24, 12, 1101-1112, (1997) · Zbl 0883.90069
[9] Kmietowicz, Z.W.; Pearman, A.D., Decision theory, linear partial information and statistical dominance, Omega, 12, 391-399, (1984) · Zbl 0549.90056
[10] Kofler, E.; Kmietowicz, Z.W.; Pearman, A.D., Decision making with linear partial information, (L.P.I.). journal of operational research society, 35, 1079-1090, (1984) · Zbl 0549.90056
[11] Park, K.S.; Kim, S.H., Tools for interactive multi-attribute decisionmaking with incompletely identified information, European journal of operational research, 98, 111-123, (1997) · Zbl 0920.90085
[12] Park, K.S.; Kim, S.H.; Yoon, Y.C., Establishing strict dominance between alternatives with special type of incomplete information, European journal of operational research, 96, 398-406, (1996) · Zbl 0917.90213
[13] Pearman, A.D.; Kmietowicz, Z.W., Stochastic dominance with linear partial information, European journal of operational research, 23, 57-63, (1986) · Zbl 0581.90041
[14] Ramanathan, R.; Ganesh, L.S., Group preference aggregation methods employed in AHP: an evaluation and an intrinsic process for deriving members weightages, European journal of operational research, 79, 249-265, (1994) · Zbl 0815.90003
[15] Salo, A.A., Interactive decision aiding for group decision support, European journal of operational research, 84, 134-149, (1995) · Zbl 0910.90191
[16] Weber, M., Decision making with incomplete information, European journal of operational research, 28, 44-57, (1987) · Zbl 0604.90004
[17] White, C.C.; Sage, A.P.; Scherer, W.T., Decision support with partially identified parameters, Large scale systems, 3, 177-189, (1982) · Zbl 0527.90051
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.