| 模糊蕴涵算子与伴随对的若干注记 |
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| 引用本文： | 侯海军,王庆东,郭彬彩.模糊蕴涵算子与伴随对的若干注记[J].河南科学,2005,23(2):177-182. |
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| 作者姓名： | 侯海军 王庆东 郭彬彩 |
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| 作者单位： | 商丘师范学院数学系,河南,商丘,476000;商丘师范学院数学系,河南,商丘,476000;商丘师范学院数学系,河南,商丘,476000 |
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| 基金项目： | 商丘师范学院中青年骨干教师资助项目 |
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| 摘 要： | 给出一种已知模糊蕴涵算子构造新模糊蕴涵算子的方法.讨论伴随对定义及其等价条件,改进伴随对存在的一个充分条件.特别地,利用36个模糊蕴涵算子构造36个新的模糊算子,并讨论新模糊算子与原模糊蕴涵算子间的关系;进一步,分析36个模糊算子对,给出若干常用伴随对.
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| 关 键 词： | 模糊蕴涵算子 伴随对 |
| 文章编号： | 1004-3918(2005)02-0177-06 |
| 修稿时间： | 2004年12月2日 |
Some nots of fuzzy implication operation and adjoint pair |
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| HOU Hai-jun,WANG Qing-dong,GUO Bin-cai.Some nots of fuzzy implication operation and adjoint pair[J].Henan Science,2005,23(2):177-182. |
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| Authors: | HOU Hai-jun WANG Qing-dong GUO Bin-cai |
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| Abstract: | It is given that a method to make use of knowable fuzzy implication operation construction new fuzzy implication operations. The definition of adjoint pair and equivalent condition are discussed. A sufficient condition of adjoint pair is improved. Particuarly, 36 new fuzzy operations are constructed by 36 fuzzy implication operations and the relation between new operation and original operation is discussed, furthmore, 36 operation pairs are analyzed, some adjoint pairs are given. |
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| Keywords: | fuzzy implication operation adjoint pair |
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