摘要
将区间值模糊集的概念应用于格蕴涵代数,引入区间值模糊格蕴涵子代数的概念并研究它们的性质.讨论了区间值模糊格蕴涵子代数与(模糊)格蕴涵子代数之间的关系;定义了区间值模糊集的象和原象,获得了区间值模糊格蕴涵子代数的象和原象成为区间值模糊格蕴涵子代数的条件.
In this paper,we apply the concept of interval valued fuzzy sets to lattice implication algebras,introduced the notion of interval valued fuzzy lattice implication subalgebras and discussed their properties.The relations between interval valued fuzzy lattice implication subalgebras and（fuzzy） lattice implication subalgebras are discussed.The images and inverse images of interval valued fuzzy sets are defined,and the conditions for the images and inverse images of interval valued fuzzy lattice implication subalgebras to be interval valued fuzzy lattice implication subalgebras are obtained.
出处
《纯粹数学与应用数学》
CSCD
2011年第6期801-807,共7页
Pure and Applied Mathematics
基金
国家自然科学基金(10371106)
关键词
模糊逻辑
区间值模糊集
格蕴涵代数
区间值模糊格蕴涵子代数
fuzzy logic
interval valued fuzzy sets
lattice implication algebras
interval valued fuzzy lattice implication subalgebras
