Abstract

Recently, Qiao and Hu have investigated the α-migrativity of uninorms and nullnorms over overlap functions and grouping functions (Qiao and Hu, 2018 [38]). However, the α-migrativity of overlap functions and grouping functions over uninorms and nullnorms is missing. In this paper, as a supplement of the above paper, we investigate the α-migrativity of overlap functions and grouping functions over uninorms and nullnorms. Moreover, we point out that some but not all similarities and differences between the α-migrativity of a uninorm U (resp. nullnorm F) over an overlap function O (resp. grouping function G) and the α-migrativity of an overlap function O (resp. grouping function G) over a uninorm U (resp. nullnorm F).

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