| Quantale的L-模糊理想 |
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| 引用本文： | 罗清君.Quantale的L-模糊理想[J].山东大学学报(理学版),2019,54(12):63-67. |
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| 作者姓名： | 罗清君 |
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| 作者单位： | 西安财经大学统计学院, 陕西 西安 710100 |
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| 基金项目： | 国家自然科学基金资助项目(61702389);陕西省教育厅基金项目(18JK0315);西安统计研究院基金项目(15JD01) |
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| 摘 要： | 将L-模糊集理论应用到Quantale中,引入了L-模糊理想、L-模糊素理想和L-模糊预理想的概念,讨论了它们的性质,得到了若干等价刻画条件,给出了由L-模糊点生成L-模糊理想的具体结构。
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| 关 键 词： | Quantale L-模糊集 L-模糊理想 |
L-fuzzy ideals in Quantale |
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| LUO Qing-jun.L-fuzzy ideals in Quantale[J].Journal of Shandong University,2019,54(12):63-67. |
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| Authors: | LUO Qing-jun |
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| Institution: | School of Statistics, Xian University of Finance and Economics, Xian 710100, Shaanxi, China |
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| Abstract: | In the present paper, by applying L-fuzzy theory to Quantale, we introduce the notations of L-fuzzy ideals, L-fuzzy prime ideals and L-fuzzy primary ideals in Quantale, and investigate their properties. Several characterizations of such ideals are present. The concert structure of L-fuzzy ideals generated by L-fuzzy points is also obtained. |
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| Keywords: | Quantale L-fuzzy set L-fuzzy ideal |
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