A characterization of residual implications derived from left-continuous uninorms

作者：Aguilo I; Suner J; Torrens J^*

来源：Information Sciences, 2010, 180(20): 3992-4005.

DOI：10.1016/j.ins.2010.06.023

• Uninorm
• Implication function
• Residual implication
• Left-continuity

In this paper, a set of axioms is given that characterizes those functions I:[0, 1](2) -> [0, 1] for which a left-continuous uninorm U exists in such a way that I is the residual implication derived from U. A characterization for the particular cases when U is representable, when U is continuous in ]0, 1[(2) and when U is idempotent are also given.

• 出版日期2010-10-15