带钢质量评价的属性权重灵敏度分析

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Strip steel quality evaluation involves a large number of properties. Abstracted multiple attrib- ute decision making problem from the strip steel quality evaluation, got two groups of attribute weights by using subjective weighting method and objective weighting method. Two groups of attribute weights feasible area and their corresponding attribute sensitivity sort are solved by making use of linear program- ming theory. To determine the reasonable attribute weight according to the ranges＇ sum which were cal- culated separately from attribute weights feasible area. The example shows that the method is feasible, effective and has the certain promotion.带钢质量评价中涉及众多的带钢属性。将带钢质量评价抽象为多属性决策问题,应用主观赋权法和客观赋权法得到两组属性权重。利用线性规划理论,对两组属性权重分别求解维持带钢质量排序的权重变化区间以及相对应的属性敏感性排序。将不同赋权法的属性权重的变化区间大小分别求和,根据其和的大小来衡量不同赋权方法所对应评价方法的稳定性,以确定合理的属性权重值。实例表明,该方法可行、有效且具有一定的推广性。