| 非交换剩余格上模糊极滤子的特征与性质 |
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| 引用本文： | 刘莉君,王树勋,刘丽华.非交换剩余格上模糊极滤子的特征与性质[J].西南农业大学学报,2019,41(8):58-63. |
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| 作者姓名： | 刘莉君 王树勋 刘丽华 |
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| 作者单位： | 陕西理工大学数学与计算机科学学院 |
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| 基金项目： | 国家自然科学基金项目（51505268）;陕西省教育厅专项科研项目（17JK0145）;陕西理工大学科研项目（SLG1914）. |
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| 摘 要： | 运用模糊集的运算方法和原理,在非交换剩余格上引入了模糊极滤子的概念,并研究了其表示定理和特征性质,获得了在一定条件下非交换剩余格上模糊极滤子与模糊子正蕴涵滤子相互等价的结论.研究结果进一步拓展了非交换剩余格上的模糊滤子理论,为其在逻辑代数及计算机信息处理等方面的应用奠定了理论基础.
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| 关 键 词： | 模糊逻辑 非交换剩余格 模糊滤子 模糊极滤子 |
| 收稿时间： | 2017/12/26 0:00:00 |
The Characteristics of Fuzzy Fantastic Filters on the Non-Commutative Residuated Lattice |
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| LIU Li-jun,WANG Shu-xun,LIU Li-hua.The Characteristics of Fuzzy Fantastic Filters on the Non-Commutative Residuated Lattice[J].Journal of Southwest Agricultural University,2019,41(8):58-63. |
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| Authors: | LIU Li-jun WANG Shu-xun LIU Li-hua |
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| Institution: | School of Mathematics and Computer Sciences, Shaanxi University of Technology, Hanzhong Shaanxi 723000, China |
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| Abstract: | By using the principles and methods of fuzzy sets, in this paper, the concept of "fuzzy fantastic filter" is introduced in the non-commutative residuated lattice. By studying its properties and characterizations, the equivalent representation theorems under certain conditions are given between the fuzzy fantastic filter and the fuzzy sub positive implicative filter. The results of the study further extend the fuzzy filter theory of the non-commutative residuated lattice, and lay a theoretical foundation for the application of algebraic logic and computer information processing. |
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| Keywords: | fuzzy logic non-commutative residuated lattice fuzzy filter fuzzy fantastic filter |
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