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感觉判断矩阵的一致性改进

DOI: doi:10.3969/j.issn.1006-7043.2011.03.023

Keywords: 层次分析法, 指数标度, 感觉判断矩阵, 一致性??

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Abstract:

针对指数标度法存在的最高重要性等级的局限性、重要性语言描述与数字的对应、重要性比率参数确定不统一等问题,提出了建议;根据指数标度构造的感觉判断矩阵的性质,将感觉判断矩阵的一致性改进问题转化为求解二次规划问题,并由此提出了一个构造完全一致的感觉判断矩阵及根据其计算指标权重的算法;最后通过算例演示提出的算法.结果表明,修改建议使得指数标度更符合实际,构造完全一致的判断矩阵是其他一致性改进算法所不具备的,算例结果体现了算法的可行性.

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