2-一致模基于重叠函数的(α,O)-迁移性  

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

作　　者：宋一凡 赵彬[1] SONG Yi-fan;ZHAO Bin(School of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710119,Shaanxi,China)

机构地区：[1]陕西师范大学数学与信息科学学院

出　　处：《山东大学学报（理学版）》2019年第11期97-107,共11页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11531009)

摘　　要：根据一致模基于重叠函数的(α,O)-迁移性概念,引入2-一致模基于重叠函数的(α,O)-迁移性概念,给出(0,O)-迁移和(1,O)-迁移的等价刻画。进一步,分别讨论五类常见2-一致模基于重叠函数的(α,O)-迁移性,特别地,当U^2∈U2k,U20,k,,U20,1,U2 1,0时,刻画了满足迁移性方程的重叠函数的结构特征。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 U^2 over overlap function O when the 2-uninorm U^2 belongs to five common types of 2-uninorms are discussed, respectively, in particular, when U^2∈U2k,U20,k,,U20,1,U2 1,0, the structure of overlap functions under the migrativity functional equation is characterized.

关 键 词：2-一致模 重叠函数 迁移性 

分 类 号：O159[理学—数学]