On distributive laws of overlap and grouping functions over uninorms

摘要

Recently, Qiao [8] investigated the distributive laws of uninorms over overlap and grouping functions when the uninorms were one of the usual classes (e.g., U-min, U-max, the family of idempotent uninorms, representable uninorms or uninorms continuous on inverted left perpendicular 0, 1 inverted right perpendicular(2)) and obtained some characterizations. As an addendum to [8], in this paper, we investigate the distributive laws of overlap and grouping functions over uninorms. In addition, we show some characterizations when the uninorm U belongs to one certain class.