| 基于覆盖的粗糙隶属函数 |
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| 引用本文： | 王丽华,李令强,孟广武.基于覆盖的粗糙隶属函数[J].烟台大学学报(自然科学与工程版),2013,26(4):255-258. |
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| 作者姓名： | 王丽华 李令强 孟广武 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城,252059 |
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| 基金项目： | 山东省中青年科学家科研奖励基金资助项目 |
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| 摘 要： | 粗糙隶属函数最初是基于等价类的,然后被推广到拓扑结构上.注意到无论是等价类还是拓扑都构成了论域上的一个覆盖.鉴于此,我们引入了基于覆盖的粗糙隶属函数的概念,研究了其性质,并给出了一个公理化的定义.
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| 关 键 词： | 覆盖粗集 覆盖粗隶属函数 拓扑 模糊集 |
Rough Membership Function Based on Covering |
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| WANG Li-hua
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LI Ling-qiang
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MENG Guang-wu.Rough Membership Function Based on Covering[J].Journal of Yantai University(Natural Science and Engineering edirion),2013,26(4):255-258. |
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| Authors: | WANG Li-hua LI Ling-qiang MENG Guang-wu |
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| Institution: | (School of Mathematics Science, Liaocheng University, Liaocheng 252059, China) |
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| Abstract: | Original rough membership function is defined by using equivalence classes, then it is extended to topol- ogical spaces. Note that both equivalence classes and topoXogical spaces form some coverings on a universe of dis- course. In this paper, the notion of rough membership function is generalized to arbitrary coverings. The properties are studied and an axiomatical definition is presented for such function. |
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| Keywords: | covering rough set covering rough membership function topology fuzzy set |
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