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As for a kind of ordered state evaluation problem, it is too much feature and big calculation in the process of multiattribute decision making, this paper is aimed to the method of DS-AHP and use the convex function to set up its optimization model. Example of the fire extinguishing systems’ state evaluation shows this method is simple and efficiency for the multi-attribute decision making furthermore. KeywordsEvidential Theory, AHP, Convex Function, State Evaluation

Fire Extinguishing Systems’ State Evaluation Basing on Analytic Hierarchy Process and Dempster-shafer