Linguistic Truth-value Lattice-valued Logic System with I mportant Coefficient and Its Application to Evaluation System

In this paper, a linguistic truth-value lattice proposition logic systemLTV LP (X) is presented firstly. It is an useful and reasonable tool to deal with the linguistic ter m set including linear ordered set and non-linear ordered set. Then an operator linguistic truth-value lattice-valued proposition logic OLTV LP (X) is given. TheOLTV LP (X) can provide a theoretical model for multi-evaluator single-layer eval uation problem with linguistic term set. Then it follows an evaluation approach in LTV LP (X) and OLTV LP (X) by using logic formula for an application case. Any linear information and incomparable information can be dealt with in the framework under LTV LP (X) and OLTV LP (X).

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