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主要讨论模糊等价关系在任意阈值的情况下对应的商空间,以及如何在不同阈值对应的商空间之间分层递阶构建归一化等腰距离函数,得到分层递阶的商空间结构,并讨论模糊等价关系的运算(交、并)与商空间的合成之间的关系.
This paper mainly discusses the quotient spaces corresponding to fuzzy equivalence relations under arbitrary thresholds and how to construct a normalized isosceles distance function hierarchically and hierarchically between quotient spaces corresponding to different thresholds to obtain a hierarchical and ordered quotient space structure , And discusses the relationship between the operations of fuzzy equivalence relations (intersection and parallel) and the synthesis of quotient spaces.