| 模糊集Quantale与Quantale的嵌入 |
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| 引用本文： | 马崛,周异辉.模糊集Quantale与Quantale的嵌入[J].模糊系统与数学,2011,25(4). |
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| 作者姓名： | 马崛 周异辉 |
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| 作者单位： | 1. 榆林学院数学系,陕西榆林,719000
2. 陕西师范大学计算机科学学院,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(10871121); 榆林学院高层次人才科研启动资金资助项目(10GK24) |
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| 摘 要： | 给出模糊集Quantale的定义,在此基础上对Quantale与它对应的模糊集Quantale二者之间的关系进行比较,得到如果一个Quantale是可换的、单位的,则它的模糊集Quantale也是可换的、单位的结论。然后给出Quantale的一种嵌入方式。
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| 关 键 词： | Quantale 模糊集Quantale Quantame的嵌入 |
Fuzzy-set quantales and quantale's embedded |
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| MA Jue,ZHOU Yi-hui.Fuzzy-set quantales and quantale's embedded[J].Fuzzy Systems and Mathematics,2011,25(4). |
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| Authors: | MA Jue ZHOU Yi-hui |
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| Institution: | MA Jue1,ZHOU Yi-hui2(1.Deparment of Mathematics,Yulin University,Yulin 719000,China,2.College of Computer Science,Shaanxi Normol University,Xi'an 710062,China) |
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| Abstract: | Firstly,the definitions of fuzzy-set quantales is gived.Secondly,the relations between quantaleand fuzzy-set quantale is discussed,obtained that if a quantale is commutative or idempotent,than its fuzzy-set quantale alse is commutative or idempotent corresponding. Finally,a new embed mode of quantales is given. |
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| Keywords: | Quantale Fuzzy-set Quantale Embedded |
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