基于心理-物理定律的对偶判断语言标度模型

Scale model for judgment linguistic of paired comparison based on psychophysics law

判断语言的标度模型能够直接影响复杂系统决策综合计算结果的科学性、准确性。从心理-物理关系角度分析了系统决策中外界客观刺激与心理主观判断过程的基本原理,建立了标度模型数值体系与对偶判断语言集的心理-物理关系模型;构建了基于W-F(Weber-Fechner)定律及Stevens幂定律的2种对偶判断语言标度模型,并确定了标度模型的具体数值体系。从标度模型应用计算结果及自身特性两个方面,以标准均匀判断矩阵实例验证了基于心理-物理定律的标度模型具备的优点,及W-F定律较Stevens幂定律更加适合用于复杂系统决策研究。

The scale model for judgment linguistic can directly affect the scientific and rationality of integra- tion calculation results in complex system decision-making. The principle of outside objective stimuli and psy- chological subjective judgment is analyzed from the perspective of psychophysics. The psychophysics model be- tween the numerical system of the scale model and the judgment linguistic set of paired comparison is estab- lished. Two scale models for judgment linguistic of paired comparison are constructed based on Weber-Fechner （W-F） law and Stevens＇ power law, and the detailed numerical system of the two scale models is calculated. The advantages of the scale model based on psychophysics are verified from its application results and own char- acteristics,with using the standard uniform judgment matric as the verify instance. And the results of the verify instance show that the W-F law is more appropriate than the Stevens＇ power law on the research for the com- plex system decision-making.