关于区间值三角模左(右)连续的充要条件

Sufficient and necessary condition of left (tight)-continuity of interval valued t-norms

构造出了区间值三角模左连续与保任意并不等价的一个严格的反例;引入了三角模保递增并和保递减交的概念;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.

A strict counter-example showing that left-continuity and union-preserving are not equivalent for interval-valued triangular norms is constructed.The concepts of increasing union-preserving and decreasing intersection-preserving for triangular norms are introduced.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.