直觉模糊集上的混合单调包含度

Hybrid Monotonic Inclusion Measure on Intuitionistic Fuzzy Sets

包含度是不确定推理理论中度量两集合间的包含程度的一种有力工具。提出了直觉模糊集上的混合单调包含度(简称IFH包含度)的定义。构造了一些具体的IFH包含度,证明了这些构造方法的合理性。讨论了一些特殊的IFH包含度所满足的分配性质和传递性质。给出了IFH包含度在知识模式匹配中的应用。丰富了包含度理论,同时为研究直觉模糊集之间的包含程度提供了具体方法。

In the theory of uncertainty reasoning, inclusion measure is an effective tool for measuring the degree to which one set is contained in another set. We introduced a new definition of inclusion measure： hybrid monotonic inclusion measure on intuitionistic fuzzy sets （IFH inclusion measure for short）. Based on which, several kinds of IFH inclusion measures were constructed, and the rationalities of which were proved. Then cetain distributivity and T- transitivity of some special IFH inclusion measures were investigated. And the use of IFH inclusion measures in pattern matching of knowledge was discussed. So this paper provided us with operational methods for measuring the degree to which an intuitionistic fuzzy set is contained in another intuitionistic fuzzy set as well as enriching the theory of inclusion measure.