Fuzzy semi-orders: The case of t-norms without zero divisors

For crisp relations the concept of a semi-order can be stated in a number of equivalent ways. When trying to extend this concept to the fuzzy setting, we observe that the (generalized) definitions fail to be equivalent. In this contribution, we discuss which is the most natural definition of a fuzzy semi-order, and study the hierarchy among the alternative definitions, in particular when using a t-norm without zero divisors.     

模糊关系的若干传递性质之间的关系

讨论模糊关系的若干传递性质之间的关系,指出文献[1]中若干有关传递性质的不正确的命题,提出了使这些命题成立的一个比较一般的充分条件。