| 模糊集间的R_0-相似关系及其性质 |
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| 引用本文： | 刘杰,吴洪博. 模糊集间的R_0-相似关系及其性质[J]. 计算机工程与应用, 2011, 47(31): 53-56. DOI: 10.3778/j.issn.1002-8331.2011.31.015 |
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| 作者姓名： | 刘杰 吴洪博 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,西安,710062 |
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| 基金项目： | 国家自然科学基金(No.10871121)~~ |
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| 摘 要： | 将王国俊教授在R0-型逻辑系统中建立的R0-蕴涵算子应用于模糊数学理论之中,在非空集合X为论域的模糊集族F(X)上定义了一种新型运算-R0蕴含运算,并讨论了F(X)上R0-蕴含运算的一些基本性质。通过R0-蕴含运算在F(X)上定义了一个二元模糊相似关系-R0-相似关系,并对其性质进行了较为详细的讨论。在有限论域X确定的模糊集族F(X)上给出了几个R0-相似关系的具体实例。
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| 关 键 词： | 模糊数学 模糊逻辑 R0-蕴涵算子 R0-型逻辑系统 R0-相似关系 |
| 修稿时间： | |
R0-similarity relation between fuzzy sets and its properties |
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| LIU Jie,WU Hongbo. R0-similarity relation between fuzzy sets and its properties[J]. Computer Engineering and Applications, 2011, 47(31): 53-56. DOI: 10.3778/j.issn.1002-8331.2011.31.015 |
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| Authors: | LIU Jie WU Hongbo |
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| Affiliation: | LIU Jie,WU Hongbo College of Mathematics and Information Sciences,Shaanxi Normal University,Xi'an 710062,China |
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| Abstract: | R0-implication operator proposed by Professor Wang Guojun in the R0-type logic system has been applied to the fuzzy mathematical theory,and a new kind of computation-R0-implication operation,is defined on the family F(X) of fuzzy sets,and its basic properties have been discussed.Then,a binary fuzzy similarity relation-R0-similarity relation on F(X) is defined through the R0 implication,and its properties are discussed in detail.Finally,several examples of R0-similarity relation are provided by the R0 implic... |
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| Keywords: | fuzzy mathematics fuzzy logic R0-type logic system R0-implication operator R0-similarity relation |
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