
On the (α,O)migrative of 2uninorms over overlap functions
 SONG Yifan, ZHAO Bin

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2019, 54(11):
97107.
doi:10.6040/j.issn.16719352.0.2019.411

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Based on the concept of (α,O)migrative of uninorms over overlap functions, the notion of (α,O)migrative of 2uninorms over overlap functions is introduced, the equivalent characterizations of(0,O)migrative and(1,O)migrative are given. Furthermore,(α,O)migrative of 2uninorm U^{2} over overlap function O when the 2uninorm U^{2} belongs to five common types of 2uninorms are discussed, respectively, in particular, when U ^{}2∈U ^{}2_{k}, U ^{}2_{}0,k, U ^{}2_{}0,1, U ^{}2_{}1,0, the structure of overlap functions under the migrativity functional equation is characterized.