Abstract
The 2-tuple linguistic representation model is widely used as a basis for linguistic symbolic computational models in linguistic decision making problems. In this chapter we provide a connection between the model of the use of a linguistic hierarchy and the numerical scale model, and then show that the numerical scale model can provide a unified framework [13] to connect different linguistic symbolic computational models. Further, a novel computing with words (CWW) methodology [13] where hesitant fuzzy linguistic term sets (HFLTSs) can be constructed based on unbalanced linguistic term sets (ULTSs) using a numerical scale is proposed. In the proposed CWW methodology, several novel possibility degree formulas for comparing HFLTSs are presented, and novel operators based on a mixed 0–1 linear programming model to aggregate hesitant unbalanced linguistic information are defined.
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