对方案有偏好的基于期望值的多属性决策法

A method based on excepted values for fuzzy multiple attribute decision making problem with preference information on alternatives

目的研究权重信息完全未知情形下的模糊多属性决策问题。方法通过引入基于负理想点下和基于正理想点下的期望值决策矩阵概念,结合决策者的偏好信息,对方案进行排序。结果算例表明所给出的算法是有效的。结论对于属性值以区间数的形式给出,而对方案的偏好信息以三角模糊数的形式给出的多属性决策问题,该方法是有效的。

Aim To propose a new to the fuzzy multiple attribute decision making problems, in which the information on attribute weights is completely unknown. Methods By defining the concept of expected value decision matrix（based on the ideal solution or the negative-ideal solution）, using the preference information on alternatives, the best alternative can be gated. Results A practical example is given to show the rationality of this method. Conclusion This method is utility to the fuzzy multiple attribute decision making problems with preference information on alternatives, in which the attribute values are expressed in the form of interval numbers and the preference information are expressed in the form of triangular fuzzy numbers.