Computer Engineering and Applications ›› 2015, Vol. 51 ›› Issue (24): 50-55.

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On (α,T)-cross migrativity of triangular subnorms

WANG Hongdan, QIN Feng, ZHU Jing   

  1. School of Mathematics and Information Sciences, Jiangxi Normal University, Nanchang 330022, China
  • Online:2015-12-15 Published:2015-12-30

三角次模的(α,T)-交错迁移性

汪洪丹,覃  锋,朱  婧   

  1. 江西师范大学 数学与信息科学学院,南昌 330022

Abstract: In this paper, the sufficient and necessary conditions that a triangular subnorm [M]is [(α,T)]-cross-migrative are given out, where[T]stands for any of the three prototype triangular norms, that is, [T∈{TL,TP,TM},][M]is a triangular subnorm with a continuously additive generator. By comparison with results of the [(α,T)]-cross-migrativity of triangular norms obtained by Fodor, it is in some sense that they are compatible.

Key words: fuzzy connectives, triangular subnorms, cross-migrativity

摘要: 给出了三角次模[M]是[(α,T)]-交错迁移的充分必要条件,这里[T]是三个典型三角模中任意一个,即[T∈][{TL,TP,TM}],[M]是具有连续加法生成子的三角次模。通过与Fodor 获得的三角模[(α,T)]-交错迁移性的结论进行比较,发现在某种意义上它们是相容的。

关键词: 模糊连接词, 三角次模, 交错迁移