| 利用格蕴涵代数找出所有滤子的算法 |
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| 引用本文： | 赵建彬,朱华.利用格蕴涵代数找出所有滤子的算法[J].数学理论与应用,2012(3):20-23. |
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| 作者姓名： | 赵建彬 朱华 |
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| 作者单位： | 郑州大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目N0.61175055~~ |
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| 摘 要： | 格蕴涵代数中的滤子是格值逻辑推理中的一类重要代数结构．本文给出了利用格蕴涵代数的蕴涵运算表找出格蕴涵代数中所有滤子的方法．并举例说明该方法的有效性、可行性．
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| 关 键 词： | 格蕴涵代数、滤子、格值逻辑 |
Using Lattice Implication Algebras to Find All Filters |
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| Zhao Jianbin Zhu Hua.Using Lattice Implication Algebras to Find All Filters[J].Mathematical Theory and Applications,2012(3):20-23. |
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| Authors: | Zhao Jianbin Zhu Hua |
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| Institution: | Zhao Jianbin Zhu Hua(Department of mathematics,Zhengzhou university,Henan,Zhengzhou 450001,China) |
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| Abstract: | The filters of lattice implication algebras are important algebraic structure for lattice-valued logic reasoning.In this paper,a method to find all filters is proposed by using the implicative operators in lattice implication algebras.Some examples are listed to illustrate the effectiveness and feasibility of the above method. |
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| Keywords: | Lattice Implication Algebra Filter Lattice-valued Logic |
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