Characterizations of residual implications derived from uni-nullnorms.

Autor: Sun, Feng, Qu, Xiao-bing, Huang, Xue-jun
Předmět:
Zdroj: Computational & Applied Mathematics; May2020, Vol. 39 Issue 2, p1-18, 18p
Abstrakt: Uni-nullnorms generalize both uninorms and nullnorms. In this paper, residual implications derived from uni-nullnorms are investigated. First, properties of residual implications derived from uni-nullnorms and left-continuous uni-nullnorms are studied. Then, it is characterized for which uni-nullnorms the residuated operations are fuzzy implications. Finally, an axiomatic characterization of residual implications derived from left-continuous uni-nullnorms is given and the mutual independence of the properties in this characterization is investigated. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index