| 完全正则序半群上的模糊理想 |
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| 引用本文： | 李春华. 完全正则序半群上的模糊理想[J]. 华东交通大学学报, 2011, 28(4): 30-32 |
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| 作者姓名： | 李春华 |
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| 作者单位： | 华东交通大学基础科学学院,江西南昌,330013 |
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| 基金项目： | 国家自然科学基金项目(11061014); 江西省教育厅科技研究项目(赣教技字[2010]453号) |
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| 摘 要： | 称(S,·,≤)为序半群,若(S,·)是半群,(S,≤)是偏序且偏序对乘法运算是相容的.称序半群(S,·,≤)为完全正则的,若对任意α∈S存在x∈S使得α≤a2xa2.近来,Kehayopulu和Tsingelis将模糊集,模糊理想等概念引入到序半群中,得到了一些好的结果.作为后续研究,这里讨论了完全正则序半群上的模糊...
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| 关 键 词： | 模糊集 序半群 完全正则序半群 模糊理想 |
Fuzzy Ideals on Completely Regular Ordered Semigroups |
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| Li Chunhua. Fuzzy Ideals on Completely Regular Ordered Semigroups[J]. Journal of East China Jiaotong University, 2011, 28(4): 30-32 |
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| Authors: | Li Chunhua |
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| Affiliation: | Li Chunhua(School of Basic Sciences,East China Jiaotong University,Nanchang 330013,China) |
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| Abstract: | （S,×,≤） is called an ordered semigroup if（S,×） is a semigroup,（S,≤） is a partial order and the par-tial order is compatible with the multiplication.An ordered semigroup（S,×,≤） is called completely regularif for any a∈S there exists an element x∈S such that a≤a2xa2.Recently,Kehayopulu and Tsingel is intro-duced into the notion of a fuzzy set,a fuzzy ideal on ordered semigroups,and some good results are gained Thispaper studies fuzzy ideals of completely regular ordered semigroups,and obtains some of their properties onsuch semigroups. |
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| Keywords: | fuzzy set ordered semigroup completely regular ordered semigroup fuzzy ideal |
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