Linguistic Decision Making: Theory and Methods

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Consistency-based risk assessment with probabilistic linguistic preference relation (2016, methodology): “For linguistic evaluation scale 1 { | 0,1, , } S s     , Xu [17] introduced two basic operational laws based on its continuous form   1 { | 0, } S s     : (1) + s s s       ; (2) s s     , where 1 , s s S    and   0 1  , .”
Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making (2014, background): “When computing linguistic variables in practical applications, the fusing process is always associated with a weighting vector [41], that is, the fusion is in fact a convex combination.”
Probabilistic linguistic term sets in multi-attribute group decision making (2016, background): “Furthermore, Xu [33] extended the discrete LTS to a continuous version: { [0, ]} S s     (2) The extended form is convenient for calculations and can depict the given linguistic evaluations without loss of information [18].”