| 格蕴涵代数的软滤子 |
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| 引用本文： | 廖祖华,王妮妮,郑高平,章里程.格蕴涵代数的软滤子[J].计算机工程与应用,2015,51(9):72-76. |
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| 作者姓名： | 廖祖华 王妮妮 郑高平 章里程 |
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| 作者单位： | 1.江南大学 理学院，江苏 无锡 214122
2.江南大学 物联网工程学院，江苏 无锡 214122
3.江南大学 至善学院，江苏 无锡 214122
4.江南大学 教育部物联网技术应用工程研究中心，江苏 无锡 214122 |
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| 基金项目： | 国家大学生创新训练项目(No.2050205)；国家自然科学基金(No.61170121)。 |
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| 摘 要： | 借助软集合，提出了格蕴涵代数的软滤子的概念，研究了其在软集运算下的一些基本性质，并给出了格蕴涵代数的软滤子的一些等价刻画。进一步，研究了格蕴涵代数的软滤子与格蕴涵代数的对偶软格理想之间的关系。得到了格蕴涵代数的软滤子像与原像的性质。
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| 关 键 词： | 软集 格蕴涵代数 滤子 运算 对偶软格理想 像 |
Soft filters of lattice implication algebra |
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| LIAO Zuhua,WANG Nini,ZHENG Gaoping,ZHANG Licheng.Soft filters of lattice implication algebra[J].Computer Engineering and Applications,2015,51(9):72-76. |
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| Authors: | LIAO Zuhua WANG Nini ZHENG Gaoping ZHANG Licheng |
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| Affiliation: | 1.School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China
2.School of Internet of Things of Engineering, Jiangnan University, Wuxi, Jiangsu 214122, China
3.School of Honor, Jiangnan University, Wuxi, Jiangsu 214122, China
4.Engineering Research Center of Internet of Things Technology Application Ministry of Education, Jiangnan University, Wuxi, Jiangsu 214122, China |
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| Abstract: | By virtue of soft set, the concepts of soft filters of lattice implication algebra are presented, endowing a parameter set as a filter of a lattice implication algebra, and further its equivalent characterization and new operations of soft filters are discussed. Further, the relationship between a soft filter of lattice implication algebra and dual soft lattice ideal of lattice implication algebra is presented. The concepts of image and preimage of a soft filters of lattice implication algebra and their properties are shown. |
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| Keywords: | soft set lattice implication algebra filter operation dual soft lattice ideals soft image |
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