| L-可定义集与L-粗糙概念格 |
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| 引用本文： | 杨凌云,徐罗山.L-可定义集与L-粗糙概念格[J].模糊系统与数学,2011,25(2):131-137. |
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| 作者姓名： | 杨凌云 徐罗山 |
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| 作者单位： | 1. 扬州大学,数学科学学院,江苏,扬州,225002;徐州师范大学,数学科学学院,江苏,徐州,221116
2. 扬州大学,数学科学学院,江苏,扬州,225002 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 对基于剩余格L的L-广形式背景引入了L-可定义集概念,研究L-可定义集的性质及其与L-粗糙概念之间的关系.培出L-广可定义集的刻画;得到常值L-案均为L-可定义集的若干等价条件;证明全体L-可定义集在L-集包含序下是相应L-幂集格及L-粗糙概念格的子完备格;给出全体L-可定义集恰为全体L-粗糙概念外延的一个充要条件.
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| 关 键 词： | 剩余格 L-形式背景 L-粗糙概念格 L-可定义集 |
L-definable Sets and L-rough Concept Lattices |
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| YANG Ling-yun,XU Luo-shan.L-definable Sets and L-rough Concept Lattices[J].Fuzzy Systems and Mathematics,2011,25(2):131-137. |
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| Authors: | YANG Ling-yun XU Luo-shan |
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| Institution: | YANG Ling-yun1,2,XU Luo-shan1(1.College of Mathematics Science,Yangzhou University,Yangzhou 225002,China,2.College of Mathematics Science,Xuzhou Normal University,Xuzhou 221116,China) |
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| Abstract: | In this paper,the notion of L-definable sets of an L-formal context based on residuated lattices is introduced.Properties of L-definable sets are investigated.Relationships of L-definable sets and L-rough concepts are given.Characterizations of L-definable sets and some sufficient and necessary conditions for constant L-sets to be L-definable sets are obtained.It is proved that the set of L-definable sets of an L-formal context in the order of L-set inclusion is a complete sublattice of the related lattice ... |
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| Keywords: | Residuated Lattice L-formal Context L-rough Concept Lattice L-definable Set |
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