三角次模的(α,T)-交错迁移性

计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (24): 50-55.

三角次模的(α,T)-交错迁移性

汪洪丹，覃锋，朱婧

江西师范大学数学与信息科学学院，南昌 330022

出版日期:2015-12-15 发布日期:2015-12-30

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

WANG Hongdan, QIN Feng, ZHU Jing

School of Mathematics and Information Sciences, Jiangxi Normal University, Nanchang 330022, China

Online:2015-12-15 Published:2015-12-30

摘要/Abstract

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

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

汪洪丹，覃锋，朱婧. 三角次模的(α,T)-交错迁移性[J]. 计算机工程与应用, 2015, 51(24): 50-55.

WANG Hongdan, QIN Feng, ZHU Jing. On (α,T)-cross migrativity of triangular subnorms[J]. Computer Engineering and Applications, 2015, 51(24): 50-55.