| 反模糊子环和反模糊理想 |
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| 引用本文： | 祝令江,王开宝,王莉,姚炳学. 反模糊子环和反模糊理想[J]. 山东大学学报(理学版), 2008, 43(10): 52-55 |
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| 作者姓名： | 祝令江 王开宝 王莉 姚炳学 |
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| 作者单位： | 聊城大学数学与系统科学学院,山东,聊城,252059;聊城大学数学与系统科学学院,山东,聊城,252059;聊城大学数学与系统科学学院,山东,聊城,252059;聊城大学数学与系统科学学院,山东,聊城,252059 |
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| 摘 要： | 本文给出环上模糊子集的和,差,积运算，并且利用和,差,积运算性质,推导出反模糊子环的等价条件及其性质，提出反模糊理想的概念并研究了其性质。
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| 关 键 词： | 反模糊子环 反模糊理想 模糊子集 模糊子环 |
Anti-fuzzy subrings and anti-fuzzy ideals |
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| ZHU Ling-jiang,WANG Kai-bao,WANG Li,YAO Bing-xue. Anti-fuzzy subrings and anti-fuzzy ideals[J]. Journal of Shandong University, 2008, 43(10): 52-55 |
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| Authors: | ZHU Ling-jiang WANG Kai-bao WANG Li YAO Bing-xue |
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| Affiliation: | School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China |
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| Abstract: | The operation of addition, subtraction and multiplication of fuzzy subsets was given. Equivalent condition and qualities of anti-fuzzy subringswere reduced by the qualities of addition, subtraction and multiplication. The concepts of anti-fuzzy ideals were put forward and the properties were discussed. |
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| Keywords: | anti-fuzzy subrings anti-fuzzy ideals fuzzy subset fuzzy subring |
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