Study on the approach of fuzzy multi-attribute decision making based on degree of grey incidence and TOPSIS

Aimed at the fuzziness of scheme evaluation, a new decision making method based on entropy weight and gray TOPSIS is presented. The fuzzy information of the attribute is firstly transformed to the triangular fuzzy numbers. According to the characters of triangular fuzzy numbers and the entropy, each attribute weight is worked out. Then, the traditional TOPSIS is improved by grey theory, a new kind of similar approach degree is established by combining the Euclidean distance with grey correlation degree to appraise the scheme. The similar approach degree reflects the distance and the difference of data curves among a selected scheme, the ideal solution and negative ideal solution. This method has clear physical implication. Finally, the feasibility and effectivity of the method is proved by an example.