区间值Vague集多目标模糊决策方法

研究了区间值多目标模糊决策方法问题。充分利用Vague集三维信息提出了Vague集和区间值Vague集模糊相对优势函数概念，该概念克服了以往Vague集优势函数定义中不考虑第三维信息的弱点。在区间值Vague集决策矩阵基础上，构造了模糊相对优势决策矩阵和模糊加权决策矩阵，给出了区间值Vague集多目标模糊决策过程，充实了Vague集多目标模糊决策理论体系。最后通过算例验证了该方法是一种有效可行的决策方法。

An Approach of Interval-value Vague Sets Multi-objective Fuzzy Decision Making

A new approach to model multi-objective fuzzy decision making systems with interval-value Vague sets was considered. The concepts of fuzzy relative optimal function of Vague sets and interval-value Vague sets were put forward, where the 3-dimension information was fully considerred. These concepts avoided the limitations existing in the old definition of Vague sets optimal function which omitted the 3-dimension information. On the basis of interval-value Vague sets＇ decision matrix, the fuzzy relative optimal function decision matrix and the weighted decision matrix were constructed. The decision making procedure with multi-objective of interval-value Vague sets decision making systems was given in detail. Furthermore, the theory of Vague sets multi-objective fuzzy decision making is enriched. Finally, a numeric example is raised to illustrate the effectiveness and feasibility of the proposed method.