Study on the combination weighting method of hybrid multiple attribute decision-making

Because attribute weights may affect the ranking results of alternatives, one important problem in hybrid multiple attribute decision-making is to determine attribute weights of different types of data. To obtain the mixed entropy weight, we define the entropy values of precise number, interval number and fuzzy number. Then we get the grey relational weight based on ideal solution. Next we combine two weights above by using the relative entropy model. The combined weight not only reflects the difference of attribute values, but also reflects the closeness to the ideal solution. Finally, an example is proposed to prove that the new method is rational and effective.