Multiple attribute strategic weight manipulation with minimum cost in a group decision making context with interval attribute weights information
In multiple attribute decision making (MADM), strategic weight manipulation is understood as a deliberate manipulation of attribute weights setting to achieve a desired ranking of alternatives. In this paper, we study the strategic weight manipulation in a group decision making context with interval attribute weights information. In group decision making, the revision of the decision makers’ original attribute weights information implies a cost (the difference between the original information and the revised one). Driven by a desire to minimize the cost, we propose the minimum cost strategic weight manipulation model, which is achieved via optimization approaches, with the 0-1 mixed linear programming model being proved appropriate in this context. Meanwhile, some desired properties to manipulate a strategic attribute weight based on the ranking range under interval attribute weights information are proposed. Finally, numerical analysis and simulation experiments are provided with a two-fold aim: (1) to verify the validity of the proposed models, and (2) to show the effects of interval attribute weights information and the unit cost, respectively, on the cost to manipulate strategic weights in the MADM in a group decision context.
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Citation : Liu, Y., Dong, Y., Liang, H., Chiclana, F., Herrera-Viedma, E. (2018) Multiple attribute strategic weight manipulation with minimum cost in a group decision making context with interval attribute weights information. IEEE Transactions on Systems, Man and Cybernetics: Systems,
ISSN : 2168-2216
Research Group : Institute of Artificial Intelligence (IAI)
Research Institute : Institute of Artificial Intelligence (IAI)
Peer Reviewed : Yes