The Unbalanced Linguistic Aggregation Operator in Group Decision Making
Journal article, Peer reviewed
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Original versionZou, L., Pei, Z., Karimi, H.R., & Shi, P. (2012). The Unbalanced Linguistic Aggregation Operator in Group Decision Making. Mathematical Problems in Engineering, 2012, 12. doi: 10.1155/2012/619162
Many linguistic aggregation methods have been proposed and applied in the linguistic decision- making problems. In practice, experts need to assess a number of values in a side of reference domain higher than in the other one; that is, experts use unbalanced linguistic values to express their evaluation for problems. In this paper, we propose a new linguistic aggregation operator to deal with unbalanced linguistic values in group decision making, we adopt 2-tuple representation model of linguistic values and linguistic hierarchies to express unbalanced linguistic values, and moreover,we present the unbalanced linguistic ordered weighted geometric operator to aggregate unbalanced linguistic evaluation values; a comparison example is given to show the advantage of ourmethod.
Published version of an article in the journal: Mathematical problems in engineering. Also available from Hindawi: http://dx.doi.org/10.1155/2012/619162