2-一致模基于重叠函数的(α,O)-迁移性

doi:10.6040/j.issn.1671-9352.0.2019.411

《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (11): 97-107.doi: 10.6040/j.issn.1671-9352.0.2019.411

2-一致模基于重叠函数的(α,O)-迁移性

宋一凡,赵彬^*

陕西师范大学数学与信息科学学院, 陕西西安 710119

发布日期:2019-11-06
作者简介:宋一凡(1995— ), 女, 硕士研究生, 研究方向为格上拓扑与非经典数理逻辑. E-mail:songyifan@snnu.edu.cn*通信作者简介:赵彬(1965— ), 男, 博士, 教授, 博士生导师, 研究方向为格上拓扑与非经典数理逻辑. E-mail:zhaobin@snnu.edu.cn
基金资助:
国家自然科学基金资助项目(11531009)

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

SONG Yi-fan, ZHAO Bin^*

School of Mathematics and Information Science, Shaanxi Normal University, Xian 710119, Shaanxi, China

Published:2019-11-06

摘要/Abstract

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∈U ²_k,U ²_0,k,U ²_0,1,U ²_1,0时,刻画了满足迁移性方程的重叠函数的结构特征。

关键词: 2-一致模, 重叠函数, 迁移性

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 2_k, 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

中图分类号:

O159

宋一凡,赵彬. 2-一致模基于重叠函数的(α,O)-迁移性[J]. 《山东大学学报(理学版)》, 2019, 54(11): 97-107.

SONG Yi-fan, ZHAO Bin. On the (α,O)-migrative of 2-uninorms over overlap functions[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(11): 97-107.

参考文献

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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

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