| 剩余格上几类n-重模糊滤子的相互关系 |
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| 引用本文： | 刘莉君.剩余格上几类n-重模糊滤子的相互关系[J].吉林大学学报(理学版),2017,55(5):1117-1122. |
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| 作者姓名： | 刘莉君 |
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| 作者单位： | 1. 陕西理工大学 数学与计算机科学学院, 陕西 汉中 723001； 2. 陕西师范大学 数学与信息科学学院, 西安 710119 |
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| 摘 要： | 运用模糊集的方法和原理,通过在剩余格中引入n-重模糊蕴涵滤子、n-重模糊极滤子、n-重模糊正蕴涵滤子和n-重模糊Boole滤子的概念,得到了剩余格上这几类n-重模糊滤子之间的关系,并证明了剩余格上n-重模糊正蕴涵滤子和n-重模糊Boole滤子相互等价.
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| 关 键 词： | n-重模糊Boole滤子 n-重模糊蕴涵滤子 剩余格 n-重模糊正蕴涵滤子 n-重模糊极滤子 |
| 收稿时间： | 2016-11-11 |
Correlativity of Several Kinds of n-Fold Fuzzy Filters in Residuated Lattices |
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| LIU Lijun.Correlativity of Several Kinds of n-Fold Fuzzy Filters in Residuated Lattices[J].Journal of Jilin University: Sci Ed,2017,55(5):1117-1122. |
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| Authors: | LIU Lijun |
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| Institution: | 1. School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong 723001, Shaanxi Province, China;2. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China |
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| Abstract: | By using the method and principle of fuzzy sets, the concept of n-fold fuzzy implicative filter, n-fold fuzzy fantastic filter, n-fold fuzzy positive implicative filter and n-fold fuzzy Boole filter were introduced in residuated lattice. The author obtained the relation among these kinds of n-fold fuzzy filter in residuated lattice, and proved that the equivalence betweenn-fold fuzzy positive implicative filter and n-fold fuzzy Boole filter in residuated lattice. |
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| Keywords: | n-fold fuzzy positive implicative filter n-fold fuzzy implicative filter n-fold fuzzy Boole filter n-fold fuzzy fantastic filter residuated lattice |
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