Applied Mathematics & Information Sciences

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The group decision-making problems with several experts and seriously different opinions are unable to be solved by current existing DS/AHP methods. In order to solve above problems, a derived model is constructed to recognize the optimal Basic Probability Assignment (BPA) functions from TIN knowledge matrices by introducing deviation variables. After that, a modified model and its corresponding modified theorems for improving TIN knowledge matrices are proposed to overcome matrix inconsistencies and provide expert group for defining discussed problem as well as guiding improvement direction. The intelligent decision making procedure is presented in terms of intelligent human-machine interaction and decision, and a comparative analysis with numerical values shows the proposed method is scientific, reasonable, and well applicable finally.

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