A note on the continuity of triangular norms

作者:Shen Zhiqiang; Zhang Dexue*
来源:Fuzzy Sets and Systems, 2014, 252: 35-38.
DOI:10.1016/j.fss.2014.02.022

摘要

It is shown that for an associative function on the unit interval with certain boundary conditions, separate continuity implies joint continuity. This answers a question on triangular norms raised by Alsina, Frank, and Schweizer in 2003.