基于均匀设计的多目标模糊决策权

模糊决策采用隶属函数描述客观事物差异中亦此亦彼的模糊现象差异的大小程度，是多目标决策中的重要方法之一。各影响因素权重确定是该方法的重要环节，如何排除确定过程中的人为因素，使权重确定更加合理、更符合内在规律性是需要深入研究的问题，本文基于Uazy提出的多目标模糊决策权重敏感性分析数学基础与理论，采用均匀试验设计这种多因素多水平的试验设计方法提出了一种开展多因素模糊决策权重敏感性分析的方法与理论，并以某滑坡物理模型试验相似材料配比研究中的模糊决策权重敏感性分析验证了其合理性与重要性，这对丰富模糊多目标决策方法具有一定的现实意义和理论价值。

Analysis of Weight Sensitivity for Multi-Objective Fuzzy Decision Making Based on Uniform Design

Fuzzy decision-making is used to describe the difference between objective things by subordinate function, and is an important ways of multi-objective decision-making. The key problems of the method are how to determine the weights of influencing factors, and how to remove the human factors of the process of decision to make the results more reasonable and close to the internal law. The paper proposes a new method and theory to make multi-factor and multi-level analysis of weight sensitivity based mathematical methodology and theory of weights sensitivity analysis for multi-objective fuzzy decision proposed by Uazy. Uniform experiment design for multi-factor and multi-level experiment is used to analysis of multi-factor fuzzy decision-making weight sensitivity. The reliability and importance of the method are verified by weight sensitivity analysis of fuzzy multi-objective decision-making for similar material mix ratio of landslide physical model.