A Choquet integral-based approach to multiattribute decision-making with correlated periods

摘要

Dynamic multiattribute decision-making (DMADM) problems are very common in real life and meaningful as research topic. In this paper, the focus is the DMADM problems with correlated periods, in which the attribute assessment values take the form of 2-tuple linguistic values. The concept of the discrete time 2-tuple linguistic variable where is introduced to describe a collection of 2-tuple linguistic values collected from different periods. To aggregate 2-tuple information gathered in multiple periods whose importance are interdependent or interactive, the 2-tuple linguistic dynamic correlated averaging 2TDCA_∂ and the 2-tuple linguistic dynamic correlated geometric 2TDCG_∂ aggregation operators are developed based on the Choquet integral. A 2-tuple linguistic DMADM approach based on 2TDCA_∂ and 2TDCG_∂ aggregation operators is also presented. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicability and effectiveness.