Optimalizační procedura pro agregaci pořadí v úlohách vícekriteriálního rozhodování

Josef Jablonský
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Abstract

There are many different methods for analysis of multiple criteria decision-making problems. Considering the problems for evaluation of alternatives, a typical situation is that the application of various methods leads to different results, i.e. each method generates different ranking of alternatives. A similar situation occurs in case a certain number of individual decision-makers participates in the analysis of a problem. The paper contains a proposal of optimization procedures that aggregates several individual rankings into one final ranking. As a result, the decision-maker obtains an aggregated ranking that is based either on the minimization of the weighted sum of deviations of individual rankings from the final ranking or on the minimization of the maximum deviation over all individual rankings. The applicability of the procedures is illustrated on a simple numerical example.
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多准则决策任务中聚合次序的优化方法
多准则决策问题的分析方法多种多样。考虑到备选方案的评价问题,典型的情况是各种方法的应用导致不同的结果,即每种方法产生不同的备选方案排名。如果有一定数量的个人决策者参与问题的分析,也会出现类似的情况。本文包含了一个优化程序的建议,将几个单独的排名汇总为一个最终排名。因此,决策者获得一个汇总排名,该排名要么基于个体排名与最终排名的加权偏差之和的最小化,要么基于所有个体排名的最大偏差的最小化。通过一个简单的算例说明了该方法的适用性。
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