| 非交换剩余格上模糊滤子的等价刻画 |
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| 引用本文： | 刘莉君.非交换剩余格上模糊滤子的等价刻画[J].模糊系统与数学,2019(2):23-28. |
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| 作者姓名： | 刘莉君 |
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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： | 国家自然科学基金资助项目(11401357);陕西省教育厅专项科研项目(17JK0145) |
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| 摘 要： | 运用区间模糊集的概念和方法,在非交换剩余格上引入了模糊极滤子和模糊弱蕴涵滤子的概念,并获得了非交换剩余格上模糊极滤子与模糊弱蕴涵滤子相互等价的条件。研究结果拓展了非交换剩余格上的模糊滤子理论,也为研究非经典逻辑系统的结构奠定了理论基础。
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| 关 键 词： | 非交换剩余格 模糊极滤子 模糊弱蕴涵滤子 |
The Characterizations of Fuzzy Filters on the Non-commutative Residuated Lattice |
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| LIU Li-jun.The Characterizations of Fuzzy Filters on the Non-commutative Residuated Lattice[J].Fuzzy Systems and Mathematics,2019(2):23-28. |
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| Authors: | LIU Li-jun |
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| Institution: | (School of Mathematics and Computer Science Chaanxi University of Technology Hanzhong 723000 China) |
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| Abstract: | By using the principle and method of fuzzy sets. In this paper, we introduce the notions of fuzzy fantastic filters and fuzzy weak implicative filters on non-commutative residuated lattice and study their properties. Some equivalent representation theorems under certain conditions are obtained between the fuzzy fantastic filter and the fuzzy weak implicative filter. The results of the study further extend the fuzzy filter theory of the non-commutative residuated lattice, it lays a theoretical foundation for nonclassical logic system. |
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| Keywords: | Non-commutative Residuated Lattice Fuzzy Fantastic Filter Fuzzy Weak Implicative Filter |
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