基于灰色关联分析和信息公理的多属性设备优选研究

Research on Multi-attribute Equipment Selection Based on Grey Relational Analysis and Information Axiom

灰色关联分析是一种定量分析法,将信息公理引入其中,提出了基于灰色关联分析和信息公理的优选方法.该方法根据评价指标的决策矩阵,构造出由最优参考数据列组成的理想方案.以信息量为测度评价各备选方案与理想方案的关联程度,通过确定各指标的可接受范围,并通过计算各方案的信息量,获得方案的优劣排序,优选最佳方案.为实现多属性优选,修正了信息量计算公式.最后以链条输送机为例验证了该方法的有效性与可行性.

The grey relational analysis is a kind of quantitative analysis method. A new method for scheme selection is proposed based on grey relational analysis and information axiom. According to decision matrix of all evaluation indices for the alternatives, the ideal scheme composed of the best refer- ence data series of all schemes is constructed. The information content is used to evaluate the relation- al degree between an individual alternative scheme and the ideal scheme. A new way of calculating the information content for multi-attribute selection is suggested. Through specifying the acceptable range of each index, the total information content for each scheme is calculated, and arrayed in order, so the optimal scheme can be selected. Finally, an example is given to demonstrate the effectiveness and feasibility of the proposed method.