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In this paper, we introduce two concepts, penalty capability and reward capability of decomposable balance function, discuss some properties of two kinds of balance function including summing and multiplying decomposable balance function invariable weight decision making, and investigate the influence of the balance function for the measure of orness for the variable weight vector. These results will...
By merging the linguistic quantifier and Borda function, we propose a kind of new method to construct the state variable weight vectors with reward and the variable weight state vector, establish the variable weight synthesis decision making model which grasp the meaning of the linguistic value, and investigate several group decision making models derived by some typical linguistic quantifiers and...
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