| 完备布劳威尔格上蕴涵的结构 |
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| 引用本文： | 李伟才,覃锋,易志洪.完备布劳威尔格上蕴涵的结构[J].江西科学,2007,25(4):359-362. |
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| 作者姓名： | 李伟才 覃锋 易志洪 |
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| 作者单位： | 江西师范大学数学与信息科学学院,江西,南昌,330022;江西师范大学数学与信息科学学院,江西,南昌,330022;江西师范大学数学与信息科学学院,江西,南昌,330022 |
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| 基金项目： | 国家自然科学基金
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Programme of Jiangxi Natural Science Fund
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Graduate-Innovation of Jiangxi Normal University Fund |
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| 摘 要： | 研究了完备布劳威尔格上全体蕴涵算子之集,在此集上定义运算及序关系使其成为幺半群,且是完备布劳威尔格;然后讨论了线性完备布劳威尔格,且给出一种方法构造新的蕴涵算子,同时研究了蕴涵算子换置位对称性质,最后讨论了0,1]上任意2个可比蕴涵算子的关系。
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| 关 键 词： | 模糊集理论 三角模 蕴涵 幺半群 完备布劳威尔格 |
| 文章编号： | 1001-3679（2007）04-0359-04 |
| 修稿时间： | 2007-05-31 |
The Structure of Implications on A Complete Brouwerian Lattice |
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| LI Wei-cai,QIN Feng,YI Zhi-hong.The Structure of Implications on A Complete Brouwerian Lattice[J].Jiangxi Science,2007,25(4):359-362. |
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| Authors: | LI Wei-cai QIN Feng YI Zhi-hong |
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| Institution: | College of Mathematics and Information Science,Jiangxi Normal University,Jiangxi Nanchang 330022 PRC;College of Mathematics and Information Science,Jiangxi Normal University,Jiangxi Nanchang 330022 PRC;College of Mathematics and Information Science,Jiangxi Normal University,Jiangxi Nanchang 330022 PRC |
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| Abstract: | Investigate the set of all implications on a complete Brouwerian lattice.Define operators to endow these sets as monoid structure,which are also complete Brouwerian lattice.Then discuss the implication operators on a linear complete Brouwerian lattice,and propose a method to generate new implication operators.Moreover,the contra-positive symmetrization property of implication operators and the relation between two comparable implications onare studied. |
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| Keywords: | Fuzzy set theory T-norms Implication Monoid Complete Brouwerian lattice |
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