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基于投影的区间数评价方法探讨

Interval Appraise Method Based on Projection

中文摘要英文摘要

对于区间数多指标决策问题,文献[2]给出了一种基于理想点区间评价方法,文献[3]提出了一种基于灰色关联度的区间评价方法,本文在文献[2,3]的基础上,提出了一种基于投影的区间评价方法,给出了解决区间数多指标决策问题的计算步骤,其核心是通过计算每个方案对于正、负理想方案的投影,得到每个方案与正、负理想方案的关联度,进而计算出每个方案对于正理想方案的相对隶属度,即可得到所有方案的排序结果。最后,利用文献[2,3]的实例来证实此方法的科学性与可行性。

With respect to the multiple attribute decision making problems with interval numbers, literature [2] gives out a kind of ideal point appraisal method, literature [3] gives out a kind of grey relational analysis appraisal method. This paper gives another method named projection appraisal method. The calculation steps to solve it are given. As the key step, the projection values were calculated for multiple attribute decision making with interval numbers between every alternative and positive ideal point and negative ideal point. Then, according to the projection values, the relative membership degree to the positive point is calculated to rank all alternatives. Finally, a practical problem was analyzed by this method. It showed this method is scientific and effective.

卫贵武

数学

多指标决策区间数投影

multiple attribute decision makinginterval numbersprojection

卫贵武.基于投影的区间数评价方法探讨[EB/OL].(2007-05-08)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/200705-67.点此复制

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