基于非线性复杂系统观的直觉模糊变权多属性决策方法

为克服传统直觉模糊多属性决策方法所存在的采用固定不变的权重体系难以反映复杂系统因素之间蕴含的非线性联结机理、尚未考虑方案之间的内在关联性、对于决策主体风险偏好的异质性关注不足等缺陷,依据非线性复杂系统思维观,通过将属性因素变权、方案因素关联和决策主体风险态度合理引入三方面有机融合,提出一种直觉模糊变权多属性决策方法.该方法运用决策试行与评价实验室(DEMATEL)算法确定出不同方案情境下变化的属性权重,且通过综合集成集对势理论和风险态度系数构建出新的记分函数,并证明了其相关性质.最后,通过案例应用及对比分析验证了所提出方法的科学性和可行性.

Intuitionistic fuzzy multi-attribute decision making method with variable weights based on the perspective of nonlinear complex systems

The conventional intuitionistic fuzzy multi-attribute decision making method has following drawbacks: The fixed weight system is difficult to reflect effectively the nonlinear combination mechanism among factors for complex systems; the intrinsic relevancy of alternatives is ignored; the heterogeneous risk attitude of decision-makers is not considered sufficiently. To overcome abovementioned drawbacks, based on the thinking perspective of nonlinear complex systems, an intuitionistic fuzzy multi-attribute decision making method with variable weights is proposed, which integrates well of the three aspects: the varying weights of attribute factors, the correlation of alternatives and the reasonable introduction of risk attitude of decision-maker. It should be noted that, varying attribute weights are determined by applying decision making trial and evaluation lab(DEMATEL) method. Furthermore, a new score function is constructed by combining the set pair potential theory with the risk attitude parameter, and its relevant properties are also proved. Finally, a real example study and corresponding comparative analysis verify the scientificity and feasibility of the proposed method.