| 序半群的Fuzzy反C-内理想及完全Fuzzy内理想 |
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| 引用本文： | 唐剑,胡勇. 序半群的Fuzzy反C-内理想及完全Fuzzy内理想[J]. 阜阳师范学院学报(自然科学版), 2008, 25(3) |
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| 作者姓名： | 唐剑 胡勇 |
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| 作者单位： | 1. 阜阳师范学院,数学与计算科学学院,安徽,阜阳236041
2. 安徽涉外经济职业学院,安徽,合肥230601 |
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| 基金项目： | 阜阳师范学院青年基金项目(2008LQ11) |
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| 摘 要： | 引入了序半群上Fuzzy反C-内理想的概念,借助于强均Fuzzy子集和Fuzzy集的λ-截集给出了Fuzzy反C-内理想的一些刻画.进一步给出了完全Fuzzy内理想的概念,讨论了它在正则序半群中的一些特殊性质.作为应用,这些结论在一般半群(不含序)中都成立.
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| 关 键 词： | 序半群 Fuzzy反C-内理想 完全Fuzzy内理想 |
On Fuzzy Anti-Covered Interior Ideals and Completely Fuzzy Interior Ideals in Ordered Semigroups |
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| TANG Jian,HU Yong. On Fuzzy Anti-Covered Interior Ideals and Completely Fuzzy Interior Ideals in Ordered Semigroups[J]. Journal of Fuyang Teachers College:Natural Science, 2008, 25(3) |
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| Authors: | TANG Jian HU Yong |
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| Abstract: | In this paper,the concept of fuzzy anti-convered interior ideals in ordered semigroups,and some characterizations of fuzzy anti-convered interior ideals are given by means of strongly convex fuzzy subsets and λ-cutsets of fuzzy sets.Furthermore,the notion of completely fuzzy interior ideals is presented and its particular properties in regular ordered semigroups are obtained.As an application of results of this paper,all results in this paper are true in semigrcups(without order). |
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| Keywords: | ordered semigroup fuzzy anti-covered interior ideal completely fuzzy interior ideal |
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