It is proved that a triangular norm is left-continuous if and only if is increasing union-preserving, and is right-continuous if and only if is decreasing intersection-preserving.

证明了区间值三角模左连续的充要条件是保递增并，右连续的充要条件是保递减交。

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It is proved that a triangular norm is left-continuous if and only if is increasing union-preserving, and is right-continuous if and only if is decreasing intersection-preserving.

证明了区间值三角模左连续的充要条件是保递增并，右连续的充要条件是保递减交。

youdao