| T-模糊值积分序列的收敛性 |
| |
| 引用本文： | 李艳红. T-模糊值积分序列的收敛性[J]. 四川师范大学学报(自然科学版), 2009, 32(3). DOI: 10.3969/j.issn.1001-8395.2009.03.010 |
| |
| 作者姓名： | 李艳红 |
| |
| 作者单位： | 辽东学院师范学院,数学系,辽宁,丹东,118003 |
| |
| 摘 要： | 通过引入广义三角模及其运算,在模糊测度空间上针对非负可测模糊值函数定义了T-模糊值积分,进而采用构造序列的方法讨论了这种T-模糊值积分序列的收敛性,最后获得了这种积分的模糊化的Levi's定理,从而为模糊积分理论的进一步发展及其应用丰富了内容.
|
| 关 键 词： | 广义三角模 可测模糊值函数 T-模糊值积分 Levi’s定理 |
Convergence of Sequences of the T-fuzzy Valued Integrals |
| |
| LI Yan-hong. Convergence of Sequences of the T-fuzzy Valued Integrals[J]. Journal of Sichuan Normal University(Natural Science), 2009, 32(3). DOI: 10.3969/j.issn.1001-8395.2009.03.010 |
| |
| Authors: | LI Yan-hong |
| |
| Affiliation: | Department of Mathematics;Teacher's College;Eastern Liaoning College;Dandong 118003;Liaoning |
| |
| Abstract: | In this paper,by introducing the concept of generalized triangle norm and its operation,the concept of T-fuzzy valued integral is defined for non-negative measurable fuzzy valued functions in fuzzy measure spaces.The convergence of sequences of T-fuzzy valued integral is inverstigated by constructing sequences.Finally the fuzzy form of Levi's theorem for the integral sequences is obtained.The results obtained in this paper enrich the application of fuzzy integrals theory. |
| |
| Keywords: | Generalized triangle norm Measurable fuzzy valued functions T-fuzzy valued integrals Levi's theorem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
