模糊关系相似度及对称度的几个结果

Several Results on the Similarity Degree and Symmetry Degree of Fuzzy Relations

首先对模糊关系的相似程度的性质进行了研究,给出了几个结果。然后指出了文献[1]中关于模糊关系对称度的一个结论是不正确的,并用反例说明了这一点,给出了一个正确的结论和证明。

In this paper, we investigate the similarity degree of fuzzy relations and obtain several results. We point out an incorrect conclusion in a literature which is illustrated by means of a counterexample. Meanwhile a modified form of the conclusion and the proof are given.