| 一种新的模糊逻辑代数系统 |
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| 引用本文： | 裴道武,王国俊.一种新的模糊逻辑代数系统[J].西南交通大学学报,2000,35(5):564-568. |
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| 作者姓名： | 裴道武 王国俊 |
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| 作者单位： | 1. 四川大学数学学院,四川,成都,610064
2. 西南交通大学应用数学系,四川,成都,610031 |
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| 摘 要： | 基于对模糊逻辑和模糊推理的系统研究，一种新的模糊逻辑代数－Ｒ０代数已于近期被建立，这为模糊逻辑提供了一种新的代数框架。文中对Ｒ０代数作进一步研究，给出Ｒ０代数的一系列代数性质，并澄清Ｒ０代数与其它模糊逻辑代数系统之间的关系。
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| 关 键 词： | 模糊逻辑 代数系统 数理逻辑 |
A New Kind of Algebraic Systems for Fuzzy Logic |
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| PEI Dao-wu,WANG Guo-jun.A New Kind of Algebraic Systems for Fuzzy Logic[J].Journal of Southwest Jiaotong University,2000,35(5):564-568. |
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| Authors: | PEI Dao-wu WANG Guo-jun |
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| Abstract: | Based on a systematic research on fuzzy logic and fuzzy reasoning, a new kind of algebraic systems-R 0 algebras have been established recently, providing a new algebraic basis for fuzzy logic. In this paper, R 0 algebras are further studied. Some properties of R 0 algebras are given out, and the relationship among R 0 algebras and other algebraic systems related to fuzzy logic is clarified. |
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| Keywords: | fuzzy logic algebras R 0 algebras weak R 0 algebra FI algebra residue lattice |
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