| 格蕴涵代数LI-理想的粗糙性 |
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| 引用本文： | 张家锋,何星星.格蕴涵代数LI-理想的粗糙性[J].河南科技大学学报(自然科学版),2011,32(5):64-67,2. |
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| 作者姓名： | 张家锋 何星星 |
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| 作者单位： | 1. 西南交通大学智能控制开发中心,四川成都610031;毕节学院逻辑语言与认知中心,贵州毕节551700
2. 西南交通大学智能控制开发中心,四川成都,610031 |
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| 基金项目： | 国家自然科学基金项目(60875034); 贵州省教育厅专项任务基金项目(09ZX092); 毕节学院自然科学重点基金项目(20092027) |
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| 摘 要： | 粗糙集的代数分析是粗糙集理论研究的一个重要方向,为了用代数的手段研究粗糙集,将粗糙集理论应用于格蕴涵代数,利用LI-理想诱导的同余关系,引入了格蕴涵代数的上、下粗糙LI-理想的概念,并讨论了粗糙LI-理想的相关性质.
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| 关 键 词： | 格蕴涵代数 LI-理想 粗糙LI-理想 |
Roughness of LI-ideals in Lattice Implication Algebra |
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| ZHANG Jia-Feng,HE Xing-Xing.Roughness of LI-ideals in Lattice Implication Algebra[J].Journal of Henan University of Science & Technology:Natural Science,2011,32(5):64-67,2. |
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| Authors: | ZHANG Jia-Feng HE Xing-Xing |
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| Institution: | ZHANG Jia-Feng1,2,HE Xing-Xing1(1.Intelligent Control Development Center,Southwest Jiaotong University,Chengdu 610031,China,2.Center of Logic,Language & Cognition,Bijie University,Bijie 551700,China) |
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| Abstract: | The algebraic analysis is one important research field in rough set theory study.For investigating rough set though algebraic method,rough set theory was applied into lattice implication algebra,and the concepts of upper/lower rough LI-ideals in lattice implication algebra were proposed.Some relative properties of rough LI-ideals were discussed. |
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| Keywords: | Lattice implication algebra LI-ideals Rough LI-ideals |
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