摘要
重新定义了广义模糊数,引入了"序"、"运算"及"度量",得到了一些基本性质,并研究了广义模糊数序列的极限及性质,给出了单调收敛、闭区间套等重要定理,使模糊数对应理论得以拓广.
In the paper,the generalized fuzzy number is redefined,the order,operations and metrics are induced on it,some basic properties are obtained.The limit and properties of sequences of generalized fuzzy numbers are discussed,some important theorems such as monotone convergence theorems,closed interval set theorem are given,these have make the corresponding theory of fuzzy numbers extend.
作者
张德利
郭彩梅
李晓萍
ZHANG De-li;GUO Cai-mei;LI Xiao-ping(College of Mathematics,Changchun Normal University,Changchun 130032,China;College of Sciences,Changchun University,Changchun 130022,China;Management College,Tianjin Normal University,Tianjin 300387,China)
出处
《数学的实践与认识》
2021年第7期176-186,共11页
Mathematics in Practice and Theory
基金
国家自然科学基金(1127063)
吉林省自然科学基金(20190201014JC)
关键词
模糊数
广义模糊数
度量
序列
极限
fuzzy number
generalized fuzzy number
metric
sequence
limit
