基于OWA算子的群决策方法的灵敏度分析

Sensitivity Analysis of Group Decision Making Method Based on OWA Operators

针对基于OWA算子的群决策方法,给出了一种灵敏度分析方法·首先,给出了关于OWA算子的描述及其基本性质;然后,给出了一种基于OWA算子的群决策方法以及相应的灵敏度分析问题的描述·分析了在保持任意两个方案优劣关系不变的条件下,专家给出的评价信息的灵敏度变化范围的计算公式,为进一步研究基于OWA算子的方案排序稳定性以及群组决策分析等问题打下了基础·最后,通过一个算例说明了本文给出的分析方法·

With respect to a group decision-making method based on OWA (ordered weighted averaging) operators, an approach to sensitivity analysis is proposed. Giving the description and basic properties of OWA operators, such a decision-making method and relevant sensitivity analysis are discussed. A formula is given to compute the variation range of sensitivity, which was caused by an assessment information in group decision-making process, on condition that the advantage/disadvantage of any two alternative schemes remains as they are. Thus, a solid foundation is laid to study the stability of alternatives' ranking and analyze the group decision-making process further. An exemplification is given numerically to verify the approach proposed.