| 伪t—模与蕴涵的直积分解 |
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| 引用本文： | 王住登,于延栋.伪t—模与蕴涵的直积分解[J].中国科学技术大学学报,2001,31(6):657-662. |
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| 作者姓名： | 王住登 于延栋 |
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| 作者单位： | 江苏盐城师范学院数学系,盐城224002 |
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| 基金项目： | Foundation item: This
project is supported by the Natural Science Foundation of Jiangsu Province Education
Commission (OOKJD110006) |
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| 摘 要： | 本文研究伪t-模与蕴涵的直积分解，解决Baets和Mesiar提出一个未解决的问题，并证明(0,1]^2,≤)上连续t-模都可以表示成(0,1],≤)上两上连续t-模的直积。
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| 关 键 词： | 非经典逻辑 伪t－模 蕴涵 真积分解 |
| 文章编号： | 0253-2778(2001)06-0657-06 |
Direct Product
Decompositions of Pseudo t-norms and Implications |
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| Abstract.Direct Product
Decompositions of Pseudo t-norms and Implications[J].Journal of University of Science and Technology of China,2001,31(6):657-662. |
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| Authors: | Abstract |
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| Abstract: | This paper aims to study direct products and direct product decompositions of pseudot-norms (implications), solve an open problem proposed by Baets and Mesiar in 3], andshow that there doesn't exist continuous t-norms on ( 0, 1 ]2,≤ ) that are not a direct productof continuous t-norms on ( 0, 1 ],≤ ). |
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| Keywords: | non-classical logic t-norm pseudo t-norm implication direct product decomposition |
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