Study on Fuzzy Granular Space Based on Normalized Equicrural Metric
基于等腰归一化距离的模糊粒度空间研究

In this paper, by introducing the normalized equierural metric into fuzzy quotient space theory, the fuzzy granular space theory based on normalized equicrural metric is presented and four main results are obtained. Firstly, the following three statements are equivalent (Theorem3.2): (1) give a fuzzy equivalence relations set on X; (2) give a normalized equicrural metric on X; (3) give an hierarchical structure (or order-complete granular space) on X. Secondly, the correspondence relations between a normali...