[1]毛铭桦.L-模糊集与变基幂集线性算子的有界性刻画[J].南京师范大学学报(自然科学版),2012,35(01):29-33.
 Mao Minghua.A Characterization About Boundedness of L-Fuzzy Set and Variable Basis Powerset Linear Operator[J].Journal of Nanjing Normal University(Natural Science Edition),2012,35(01):29-33.
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L-模糊集与变基幂集线性算子的有界性刻画()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第35卷
期数:
2012年01期
页码:
29-33
栏目:
数学
出版日期:
2012-03-20

文章信息/Info

Title:
A Characterization About Boundedness of L-Fuzzy Set and Variable Basis Powerset Linear Operator
作者:
毛铭桦;
南京师范大学泰州学院数学系,江苏泰州225300
Author(s):
Mao Minghua
Department of Mathematics,Nanjing Normal University Taizhou College,Taizhou 225300,China
关键词:
L-模糊赋范空间L-模糊集变基幂集线性算子
Keywords:
L-fuzzy normed linear spaceL-fuzzy bounded setthe variable basis powerset linear operator
分类号:
O177;O159
摘要:
探讨了L-模糊有界集与变基幂集线性算子的有界性并给出了它们的一种刻画.这些结果是经典的赋范线性空间与模糊赋范线性空间中的相应结论的推广.
Abstract:
A characterization of the L-fuzzy bounded set and the boundedness of the variable basis powerset linear operator have been given. These results generalize the corresponding conclusions of fuzzy normed linear spaces and classical normed linear spaces.

参考文献/References:

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[3] Fang Jinxuan. Fuzzy norm of a linear operator and fuzzy bounded linear operators[J]. J Fuzzy Math,1999,7 ( 3) : 755-764.
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[5] 吴从炘,马明. 模糊分析学基础[M]. 北京: 国防工业出版社, 1991.
[6] Yan Conghua,Fang Jinxuan. Generalization of Kolmogoroff’s theorem to L-topological spaces[J]. Fuzzy Sets and Systems, 2002, 125( 2) : 177-183.
[7] 王国俊. L-fuzzy 拓扑空间论[M]. 西安: 陕西师范大学出版社, 1988.
[8] Fang Jinxuan. The continuity of fuzzy linear order-homorphism[J]. J Fuzzy Math,1997,5( 4) : 829-838.

备注/Memo

备注/Memo:
基金项目:国家自然科学基金( 10671094) .
通讯联系人:毛铭桦,讲师,研究方向: 模糊数学. E-mail: mhmao307@163. com
更新日期/Last Update: 2013-03-11