In this paper, I have established a appraisement index system after synthetically consideration affecting factor of trolleybus and bus in managing quality, determined right number of each index by grade analysis law, determined appraisement grade of each index by investigating to queue up, determined appraisement matrix by expert inquiry, calculated subordinating level which Beijing's managing quality of trolleybus and bus in managing quality to each appraisement grade by "M( , )"model algorithm in vague mathematics. According to identification principle, I have reached conclusion. I think It is feasible that establishing appraisement index system of managing quality of trolleybus and bus by vague mathematics theory. I testify also that appraisement conclusion is objective and actual by example.
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