中文摘要：

针对模糊相似关系的传递核进行了研究。首先,为了判定给定的模糊相似关系是否是模糊等价关系,对参数系中元素之间的不等关系进行理论分析,提出了模糊相似关系传递核的判断算法;之后,为了构造模糊等价关系,利用局部区域调整参数的方式构造了初始参数系及分解系调整算法,使得参数系中的元素能够按参数系满足不等关系。最后,在前述工作的基础上,建立了一种模糊相似关系传递核的提取算法。相应的理论及实例分析均表明该算法能够确定得到模糊相似关系的一个传递核。

英文摘要：

This paper aimed at generating a transitive opening of fuzzy similarity relation.Firstly,it proposed an algorithm for checking a transitive opening through analyzing the non-equalities given by parameter system.Secondly,it put forward another algorithm for adjusting the initial parameter system and its corresponding resolution system by restricting the operations in a local area.Finally,it gave the algorithm for obtaining a transitive opening of fuzzy similarity relation on the basis of the former researches.It gave an example to verify the algorithm.Both the theory analysis and the example all prove the effectiveness of the algorithm.