连续Vague集

Continuous vague sets

对存在中立者的投票模型进行了分析,指出Fuzzy集和Vague集在表达此类模糊信息时所存在的不足;根据投票模型中中立者的倾向程度,对中立者的倾向性给出了三种不同方式的赋值方法,即等量赋值为0.5,由支持者和反对者的人数的比例等量赋值以及根据中立者和反对者的比例不等量赋值.由这三种赋值方式提出了三种由Vague集向Fuzzy集的转化方法,并根据第三种转化给出了连续Vague集的定义,最后对连续Vague集的交、并、补等性质进行了初步讨论.

The limitations of fuzzy set and vague set theories to express fuzzy information were put forward, after the vote model with neutrals was analyzed. According to the tendency degree of the neutrals, three various of evaluation of the neutrals were given, i.e. evaluate the neutrals the same value 0.5; evaluate the neutrals same value which was decided by the ratio of the number of the sustainers and the objectors; evaluate the neutrals different values which was decided by the ratio of the number of the sustainers and the objectors. Thereafter three kinds of transformations form vague sets to fuzzy sets were given. The theory of continuous vague set was proposed. In the end, the intersection, union and complement of continuous vague sets were discussed.