一种新区间值vague集及其在模式识别中的应用

基于现有定义证明了区间值vague集并非vague集的扩展，并提出了一种新的区间值vague集定义。证明了vague集和区间值vague集都是新区间值vague集的特例。进而提出了带参数区间值vague集的概念，并从已知隶属度和非隶属度出发，重点分析了带参数区间值vague集的构造。将模式识别与医疗诊断案例进行了对比。仿真实验结果表明，带参数区间值的vague集方法比传统的vague集方法更全面且更具灵活性。

Novel Interval Valued Vague Sets and its Application in Pattern Recognition

First, it was proved that interval valued vague sets is not the generalization of vague sets based on the con-ventional definition in this paper, and a novel interval valued vague sets were presented. Then, we proved that vague setsand interval valued vague sets are both special cases of novel interval valued vague sets. And then the concept of inter-val-valued vague sets with parameters (IVVSP) was proposed. Based on membership and non-membership, this paperfocused on the construction of IVVSP. Finally, a pattern recognition example and a medical diagnosis decision-makingexample were given to demonstrate the application of IVVSP. I}he results of simulation show that the method of IVVSPis more comprehensive and flexible than that of the traditional vague sets.