| Quantale中的模糊滤子 |
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| 引用本文： | 王顺钦,梁少辉.Quantale中的模糊滤子[J].模糊系统与数学,2010,24(1). |
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| 作者姓名： | 王顺钦 梁少辉 |
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| 作者单位： | 1. 南阳师范学院,数学与统计学院,河南,南阳,473061
2. 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目(60904041;10871121) |
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| 摘 要： | 在Quantale中引入模糊滤子的概念,研究了它的一系列性质,得到了若干等价刻画,讨论了Quantale中滤子和模糊滤子之间的相互确定关系,证明了Quantale态射既保模糊滤子又反射模糊滤子。给出了模糊滤子在Quantale态射下的像的具体结构。
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| 关 键 词： | 完备格 Quantale 线性逻辑 滤子 模糊滤子 |
Fuzzy Filter of Quantales |
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| WANG Shun-qin,LIANG Shao-hui.Fuzzy Filter of Quantales[J].Fuzzy Systems and Mathematics,2010,24(1). |
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| Authors: | WANG Shun-qin LIANG Shao-hui |
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| Institution: | 1.School of Mathematics and Statistics/a>;Nanyang Normal University/a>;Nanyang 473061/a>;China/a>;2.School of Mathematics and Information Science/a>;Shannxi Normal University/a>;Xi'an 710062/a>;China |
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| Abstract: | In this paper,the notion of fuzzy filters in quantales is introduced and its natures are studied.Some equivalent characteristics of fuzzy filters are given and the relationships between filters and fuzzy filters are discussed.It is proved that quantic morphisms preserve and reflect fuzzy filters and the concrete structures of the image of fuzzy filters on quantic morphisms are obtained. |
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| Keywords: | Complete Lattice Quantale Linear Logic Filter Fuzzy Filter |
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