基于包含度的区间二型模糊粗糙集

Interval Type-2 Fuzzy Rough Sets Based on Inclusion Measures

基于区间二型模糊包含度的公理化定义,给出了新的区间二型模糊包含度计算公式.进一步,通过包含度定义了区间二型模糊粗糙集,并讨论了它的一些基本性质.最后,利用区间二型模糊粗糙集研究了连续域决策信息系统的属性约简,给出了新的约简方法.实例说明了该约简方法的具体计算步骤,并且通过实验验证了该算法的有效性和可行性.

In this paper, a new computation formula of interval type-2 fuzzy inclusion measure is proposed on the basis of the axiom definition of interval type-2 fuzzy inclusion measures. Furthermore, we define an interval type-2 fuzzy rough set model on the basis of inclusion measure and study its basic properties. In the end, the attribute reduction of continuous domain decision information system is discussed and the method on appropriate reduction is given. Further, we present calculation steps of the reduction approach by an example and experimental results demonstrate the feasibility and effectiveness of the reduction algorithm.