摘要
对于给定的一族模糊蕴涵与模糊余蕴涵,按照序和方式定义一种新的二元算子,刻画该二元算子是模糊蕴涵的充要条件,并讨论这种模糊蕴涵的若干性质。
In this paper,a new class of binary operators are constructed as ordinal sums of a given family of fuzzy implications and fuzzy coimplications.The necessary and sufficient conditions for such ordinal sums to be fuzzy implications are proposed,and some properties of such fuzzy implications are discussed.
作者
闫欣欣
周红军
YAN Xin-xin;ZHOU Hong-jun(School of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710119,China)
出处
《模糊系统与数学》
北大核心
2019年第4期35-45,共11页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(61473336)
陕西省青年科技新星计划项目(2016KJXX-24)
关键词
模糊蕴涵
模糊余蕴涵
序和
Fuzzy Implication
Fuzzy Coimplication
Ordinal Sum
