具有无差异区间偏好结构的权重稳定区间

Stable intervals of weight based on preference structure with indifferent intervals

对于多属性决策中具有无差异阈值的偏好结构,在单一权重发生变化而其他权重相应不变的情况下,通过讨论方案集中有差异方案对和无差异方案对保持结构稳定的参数约束条件,给出了当权重变化时,保持方案整体排序稳定的α变化区间、β变化区间以及权重稳定区间的定量化计算方法,该方法扩展了多属性决策中决策结果对权重变化敏感性分析范围,并用于解决实际的案例.

Based on preference structure with indifference threshold of multicriteria decision, a quantitative method to calculate α variational intervals, β variational intervals and weight stability intervals are proposed. The variational intervals or stability intervals showed different parameters variety range that keep the ranking results stabile while the weight is changed. All results get by discussed parameters′ restricted condition of keeping difference pairwise of alternatives and indifference pairwise of alternatives structure stabile under the condition of single weight varied while other weights unchanged relatively. The proposed method extended the research range in parameters sensitivity analysis of multicriteria decision and a numeral example is used to illuminate the approach.