【作者】 王洪利； 冯玉强；

【Author】 WANG Hong-li FENG Yu-qiang (School of Management,Harbin Institute of Technology,Harbin 150001,China)

【机构】 哈尔滨工业大学管理学院；

【摘要】 针对传统的层次分析法判断矩阵中,使用整数数值表示要素两两重要性大小的方法不具有准确刻画判断的模糊性和随机性的缺点,提出了一种基于云模型标度的判断矩阵的改进的层次分析法。首先基于云模型来刻画要素重要性大小,使用群体判断综合集结的云模型作为判断矩阵值,然后基于云的数字运算中的乘法运算计算要素的相对权重,并进行指标的一致性检验;最后给出了改进后的层次分析方法在反向拍卖的投标评价中的应用。改进后的层次分析法充分考虑了判断矩阵的模糊性和随机性,使评价结果更加客观。更多还原

【Abstract】 The method in which the integer value is used to express the weightiness for comparing two factors cannot exactly depict fuzziness and randomness in the judgment matrix in the classic AHP.For overcoming the short-coming,improved AHP based on judgment matrix scaled with cloud model is proposed.At first the scale of weighti-ness of two factors is depicted by the cloud model.The synthetical aggregated cloud model gained by group decisionis viewed as the value of judgment matrix.Then relative power of factors is calculated by the multiply operation inthe numerical operation of cloud model.And the examination on consistency of indexes is executed.At last the ap-plication of improved AHP to the evaluation of the bid project in anti-auction is given.In improved AHP the fuzzi-ness and randomness are considered fully,so the result of evaluation is more objective.更多还原