一种含参数的模糊互补判断矩阵元素与优先权重的逻辑关系

A Logic Relation of Elements in Fuzzy Complementary Judgment Matrix with Parameter and Priorities

基于一致性转换公式,揭示一种含参数的模糊互补判断矩阵的元素与优先权重新的逻辑关系.阐述一致性及标度仅能确定方案的序关系,不能确定方案的优先权重等重要结论,进而拓展了模糊层次分析法.说明合理的选择参数α,能很大程度地满足决策者对客观事物的信息偏好,纠正人们对模糊层次分析法优先权重确定的某些错误认识.

Based on the consistent transformation formula, the logic relation of elements ot tuzzy consistent complementary judgment matrix containing parameter with priority is pointed out. It can explain why the scales and condition of consistency can be only used to determine the order of alternatives, but not priorities. The fuzzy analytical hierarchy process （FAHP） is extended. The rational choice of parameter a can satisfy the decision maker＇s information preference. Some false cognitions in determining the priorities of fuzzy analytical hierarchy process is rectified.