基于转化模型的Vague集多准则模糊决策记分函数

Score Function of Multi-Criteria Fuzzy Decision-Making of Vague Sets Based on Transformation Model

针对现有记分函数问题,考虑记分函数与Vague集向Fuzzy集转化模型在未知度转化方面的相通性,提出一种基于转化模型的记分函数及其加权形式,给出其定义和性质。该(加权)记分函数与转化模型之间具有直接运算关系,与现有加权记分函数之间具有良好转换关系,能够合理表达真、假隶属度大小关系对未知度价值取向的影响,具有更细腻的表达能力,是对极限转化状态(或接近)下的决策目标集的记分排序,实例对比说明了其有效性和优越性。

For the existing score functions, a score function and weighted form with definitions and properties are presented by connectivity in unknown degree transformation between score function and transformation model for transforming Vague sets into fuzzy sets.The proposed （ weighted） score functions not only have the direct operation relationships with the transformation model , the good conversion relationships with the existing weigh-ted score functions, but also reasonably express the influence of the size of the relationship between true mem-bership and false membership on the value orientation of unknown degree .This ability to express more delicate is a score ranking for the decision-making target set under limit state of transformation （ or close to） .The prac-tical comparison shows the effectiveness and superiority of the proposed （ weighted） score functions.