| 模糊数序列的水平收敛与隶属收敛的联系 |
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| 引用本文： | 李法朝,郭彦平,仇计清,马兰.模糊数序列的水平收敛与隶属收敛的联系[J].河北科技大学学报,2003,24(4):7-10. |
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| 作者姓名： | 李法朝 郭彦平 仇计清 马兰 |
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| 作者单位： | 1. 河北科技大学理学院,河北石家庄,050018
2. 燕山大学计算机系,河北秦皇岛,066004 |
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| 基金项目： | 国家自然科学基金资助项目(60004010) |
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| 摘 要： | 在不确定型优化、模糊信息处理以及模糊控制等许多实际问题中,通常采用在某些水平上通过水平截集将不确定问题局部清晰化,因而探讨模糊数按照隶属函数收敛与按照水平截集收敛之间的联系具有非常重要的意义。引入了模糊数序列的隶属收敛和水平收敛的概念,讨论了这2种收敛性之间的关系,得到了水平收敛的要求强于隶属收敛,给出了这2种收敛等价的充分必要条件。
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| 关 键 词： | 模糊数 隶属收敛 水平收敛 |
| 文章编号： | 1008-1542(2003)04-0007-04 |
Relation between Level Convergence and Membership Convergence of Fuzzy Numbers Sequence |
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| LI Fa-chao,GUO Yan-ping,QIU Ji-qing,MA Lan.Relation between Level Convergence and Membership Convergence of Fuzzy Numbers Sequence[J].Journal of Hebei University of Science and Technology,2003,24(4):7-10. |
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| Authors: | LI Fa-chao GUO Yan-ping QIU Ji-qing MA Lan |
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| Institution: | LI Fa-chao~1,GUO Yan-ping~1,QIU Ji-qing~1,MA Lan~2 |
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| Abstract: | To transform fuzzy problems into clear problems by some level cut sets is a common method in many actual problems such as uncertainty optimization and fuzzy information processing and fuzzy control,thus it has important theoretical and practical meaning to study the relation between convergence by membership functions and convergence by level cut sets.In this paper,we introduce the notions of membership convergence and level convergence of fuzzy numbers sequence,and discuss the relation between membership convergence and level convergence,and obtain that level convergence is stronger than membership convergence. |
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| Keywords: | fuzzy numbers membership convergence level convergence |
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