R0代数中的蕴涵滤子与同余关系 |
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引用本文: | 裴道武.R0代数中的蕴涵滤子与同余关系[J].西安联合大学学报,2000,3(4):24-29. |
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作者姓名: | 裴道武 |
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作者单位: | 四川大学数学系,四川成都 |
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摘 要: | 最近,王国俊教授建立了R0代数理论,为模糊逻辑提供了一种新的代数结构^「1」。本文在R0代数中引入蕴涵滤子及同余关系的概念,并且讨论蕴涵滤子与通常代数滤子的关系,还给出了蕴涵滤子和同余关系的若干重要性质。
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关 键 词: | 模糊逻辑 R0代数 蕴涵滤子 同余关系 命题演算 |
Implication Filters and Congruence Relations in R 0 Algebras |
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Authors: | PEI Dao wu |
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Abstract: | In order to prove a new algebraic structure for fuzzy logic, recently, prof. Wang Guojun proposed the theory of R 0 algebras 1] . In this paper, the concepts of implication filters and congruence relations are introduced into R 0 algebras, and their some important properties also are given out. |
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Keywords: | Fuzzy Logic R 0 Algebra Implication Filter Congruence Relation Residuated Lattice |
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