对Banerjee模糊一致性条件进行了研究,分别讨论了在普通情况和模糊情况下,FC1,FC2与传递性的相互关系,并对模糊情况下在传递,正规,条件B的假设下证明了FC1成立,同时指出了FC1与WFCA之间的关系。
In this paper,an investigation on Banerjee's fuzzy congruence conditions is carried out. The relationships between FC1 ,FC2 and transitivity in fuzzy and crisp case is discussed. For the fuzzy case ,we show that FC1 holds under the assumption of transitivity normality and Condition B. Meanwhile,the relationship between FC1 and WFCA is provided.