Abstract: The mathematical model in economic management is usually determined by economic laws and functional relations, with relative limits in econometrics, etc. The article intends to set up a basic pattern of discovery logic model in economic management with logical and functional relationship between economic affairs, according to diversification and fuzziness of a host of economic phenomena and thought of fuzzy logic and failure diagnosis, and introduce its application in economic activities’ analysis, diagnosis,forecast and decision.

Key words: Mathematical model, economic management, language value logic, failure diagnosis