Notes on alpha-cross-migrativity of t-conorms over fuzzy implications

Abstract

Although Fang provided a systematic characterization of the α-cross-migrativity property of t-conorms over fuzzy implications, there are some faults in the results obtained by Fang, such as insufficient conditions, redundant conditions, false proofs and faulty conclusions. Thus we rectify those conclusions to remedy those defects in this paper. For the convenience of readers, we also present a table to show the correspondences between those faulty results obtained by Fang and the corrected conclusions.