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The paper argues that auto exhaust catalysts should be recycled to the whole industry chain as its the important part of the auto. After examining the current situation of scraped automobile catalysts in china, the article thinks that the recycling can not only contribute to environmental protection, also can resolve the current contradiction of rare material resources supplying gap in China. Especially when we improved the recycling efficiency of scrapped auto exhaust purifying catalysts, can environment get a great improvement. Then the paper considers a static and single-cycle recycling model contains three outlets, calculates the cost-benefit function, and gives one general decision-making process with two-dimensional linear programming under fuzzy parameters.