中文摘要：

结合物元理论和Vague集理论,提出模糊环境下的物元决策模型.介绍了Vague集的概念,给出Vague复合物元的定义.根据改进的Vague排序函数确定方案物元的正理想解和负理想解.利用相似度量确定各方案物元到理想物元的距离,计算方案的贴近度,以此选择最优方案.用案例说明所提出的物元决策方法的应用过程.结果表明,本文提出的方法对模糊和不确定的决策问题具有较好的实用性.

英文摘要：

Considering the theories of matter-element and vague set, a model of matter-element decision making under vague envi- ronment was proposed. The definition of vague sets was introduced and the compound vague matter-element was defined. The positive-ideal solution and negative-ideal solution of scheme matter-element were established by an improved order function of vague values. According to the similarity measure of vague values, the distances between scheme matter-element and ideal matter-element were calculated, and the best scheme could be selected by the rule of closeness degree. A numerical example is given to apply the proposed method, and the result shows that the proposed method is available for vague and uncertain decision making problems.