JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (11): 97-107.doi: 10.6040/j.issn.1671-9352.0.2019.411

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On the (α,O)-migrative of 2-uninorms over overlap functions

SONG Yi-fan, ZHAO Bin*   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Published:2019-11-06

Abstract: Based on the concept of (α,O)-migrative of uninorms over overlap functions, the notion of (α,O)-migrative of 2-uninorms over overlap functions is introduced, the equivalent characterizations of(0,O)-migrative and(1,O)-migrative are given. Furthermore,(α,O)-migrative of 2-uninorm U2 over overlap function O when the 2-uninorm U2 belongs to five common types of 2-uninorms are discussed, respectively, in particular, when U 2∈U 2k, U 20,k, U 20,1, U 21,0, the structure of overlap functions under the migrativity functional equation is characterized.

Key words: 2-uninorm, overlap function, migrativity property

CLC Number: 

  • O159
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