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Deviation measures of linguistic preference relations in group decision making

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  • Xu, Zeshui

Abstract

In this paper, we study the group decision making problem with linguistic preference relations. We first show that the weighted combination of A1,A2,...,Am is linguistic preference relation under the condition that all of A1,A2,...,Am are linguistic preference relations. Then we define the concepts of deviation degree and similarity degree between two linguistic values, and deviation degree and similarity degree between two linguistic preference relations. We also show that the deviation degree between linguistic preference relation Ai of A1,A2,...,Am and their group linguistic preference relation is no greater than the largest deviation degree between the linguistic preference relation Ai and each of the linguistic preference relations A1,A2,...,Am. Thus, a theoretic basis has been established for the application of linguistic preference relations in group decision making.

Suggested Citation

  • Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
    • Handle: RePEc:eee:jomega:v:33:y:2005:i:3:p:249-254
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    References listed on IDEAS

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    1. Herrera, F. & Herrera-Viedma, E., 2000. "Choice functions and mechanisms for linguistic preference relations," European Journal of Operational Research, Elsevier, vol. 120(1), pages 144-161, January.
    2. Ramanathan, R. & Ganesh, L. S., 1994. "Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages," European Journal of Operational Research, Elsevier, vol. 79(2), pages 249-265, December.
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