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序半群的Fuzzy反C-内理想及完全Fuzzy内理想

On Fuzzy Anti-Covered Interior Ideals and Completely Fuzzy Interior Ideals in Ordered Semigroups
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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. In this paper, the concept of fuzzy anti-convered interior ideals in ordered semigroups, and some characterizations of fuzzy anti-eonvered interior ideals are given by means of strongly convex fuzzy subsets and λ-eutsets 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 semigreups (without order).
作者 唐剑 胡勇
出处 《阜阳师范学院学报(自然科学版)》 2008年第3期5-8,共4页 Journal of Fuyang Normal University(Natural Science)
基金 阜阳师范学院青年基金项目(2008LQ11)
关键词 序半群 Fuzzy反C-内理想 完全Fuzzy内理想 ordered semigroup fuzzy anti-covered interior ideal completely fuzzy interior ideal
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