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Algorithm for obtaining transitive opening of fuzzy similarity relation
一种模糊相似关系传递核的获取算法

Keywords: transitive opening,fuzzy similarity relation,fuzzy equivalence relation
传递核
,模糊相似关系,模糊等价关系

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Abstract:

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.

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