| 强De Morgan代数上的广义R0 t-模 |
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| 引用本文： | 魏萍,张小红.强De Morgan代数上的广义R0 t-模[J].模糊系统与数学,2007,21(5):33-38. |
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| 作者姓名： | 魏萍 张小红 |
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| 作者单位： | 宁波大学,数学系,浙江,宁波,315211 |
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| 基金项目： | 国家自然科学基金资助项目(60775038)，浙江省自然科学基金资助项目(Y605389) |
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| 摘 要： | 在De Morgan代数上引入广义R0算子,举例说明了一般De Morgan代数中的广义R0算子不能构成t-模。引入强De Morgan代数的概念,讨论它的基本性质,证明强De Morgan代数L上的广义R0算子构成t-模(称为广义R0t-模)。给出若干重要反例,并证明强De Morgan代数上的广义R0t-模是左连续的。
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| 关 键 词： | 模糊逻辑 De Morgan代数 强De Morgan代数 广义R0t-模 |
| 文章编号： | 1001-7402（2007）05-0033-06 |
| 收稿时间： | 2006-05-11 |
| 修稿时间： | 2006-06-26 |
General R0 t-norm on Strong De Morgan Algebras |
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| WEI Ping,ZHANG Xiao-hong.General R0 t-norm on Strong De Morgan Algebras[J].Fuzzy Systems and Mathematics,2007,21(5):33-38. |
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| Authors: | WEI Ping ZHANG Xiao-hong |
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| Institution: | Department of Mathematics, Ningbo University, Ningbo 315211,China |
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| Abstract: | Firstly the well-known R0 operator is developed to De Morgan algebras,which is called general R0 operator.Secondly,the notion of strong De Morgan algebra is introduced,and the following result is proved: general R0 operator on strong De Morgan algebra becomes a t-norm.Finally,some counterexamples are given and the following fact is showed: the general R0 t-norms on strong De Morgan algebras are left continuous. |
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| Keywords: | Fuzzy Logic De Morgan Algebras Strong De Morgan Algebras General R0 t-norm |
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