| 逻辑算子集与模糊粗糙近似算子集的性质及相关性 |
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| 引用本文： | 刘晓东,郑素华,邵沛,熊凤兰.逻辑算子集与模糊粗糙近似算子集的性质及相关性[J].中国海洋大学学报(自然科学版),2006,36(1):53-56. |
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| 作者姓名： | 刘晓东 郑素华 邵沛 熊凤兰 |
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| 作者单位： | 中国海洋大学数学系,山东,青岛,266003;中国海洋大学网络中心,山东,青岛,266003 |
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| 摘 要： | 定义了逻辑算子集与模糊粗糙近似算子集之间的映射,并讨论其性质。特别地给出了由模糊粗糙近似算子构造相应的t范算子以及由连续的严格单调实函数构造相应的negator算子的方法。所得结论对各种特色的粗糙近似模型的建立有指导意义。
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| 关 键 词： | 逻辑算子 模糊集 粗糙集 模糊粗糙近似 1-1对应 |
| 文章编号： | 1672-5174(2006)01-053-04 |
| 收稿时间： | 2005-01-16 |
| 修稿时间： | 2005-04-07 |
Properties and Relativity of Logical Operator Sets and Their Corresponding Fuzzy Rough Approximation Operator Sets |
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| LIU Xiao-Dong,ZHENG Su-Hua,SHAG Pei,XIONG Feng-Lan.Properties and Relativity of Logical Operator Sets and Their Corresponding Fuzzy Rough Approximation Operator Sets[J].Periodical of Ocean University of China,2006,36(1):53-56. |
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| Authors: | LIU Xiao-Dong ZHENG Su-Hua SHAG Pei XIONG Feng-Lan |
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| Institution: | Ocean University of China, 1. Department of Mathematics; 2. Net Center, Qingdao 266003, China |
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| Abstract: | In this paper,we define the mapping from a logical operator set to its corresponding fuzzy rough approximation operator set,and discuss its properties.In addition,we give the construction method of the t-torm operator based on the fuzzy rough approximation operator as well as the construction method of the corresponding negator operator based on a continuous strict monotone real function. |
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| Keywords: | logical operator fuzzy set rough set fuzzy rough approximation 1-1 mappingAMS Subject Classification: 03B52 |
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