| 效应代数中的模糊滤子 |
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| 引用本文： | 刘东利,王国俊.效应代数中的模糊滤子[J].模糊系统与数学,2009,23(3). |
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| 作者姓名： | 刘东利 王国俊 |
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| 作者单位： | 1. 集美大学,诚毅学院,福建,厦门,361021
2. 陕西师范大学,数学研究所,陕西,西安,710062 |
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| 基金项目： | 国家自然科学基金重点资助项目 |
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| 摘 要： | 在效应代数中引入模糊滤子和模糊理想的概念,讨论了它们的性质;引入并研究了强模糊滤子;在全序效应代数中提出了一个模糊同余关系并证明了这样生成的同余类是一个全序格效应代数.
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| 关 键 词： | 效应代数 滤子 模糊滤子 模糊同余 |
Fuzzy Filters in Effect Algebras |
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| LIU Dong-li,WANG Guo-jun.Fuzzy Filters in Effect Algebras[J].Fuzzy Systems and Mathematics,2009,23(3). |
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| Authors: | LIU Dong-li WANG Guo-jun |
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| Institution: | 1.Chengyi College;Jimei University;Xiamen 361021;China;2.Institute of Mathematics;Shaanxi Normal Uniersity;Shaanxi;xi'an 710062;China |
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| Abstract: | We introduce the definition of fuzzy filters and fuzzy ideals in effect algebras and investigate their properties.The definition of strong fuzzy filters are introduced and studied .Moreover,we propose a fuzzy congruence in linearly effect algebras and prove that the fuzzy quotient by the given fuzzy congruence is a linearly lattice ordered effect algebra. |
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| Keywords: | Effect Algebra Filters Fuzzy Filters Fuzzy Congruence |
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