| 模糊集间的R_0-相似关系及其性质 |
| |
| 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. |
| |
| 作者姓名： | 刘杰 吴洪博 |
| |
| 作者单位： | 陕西师范大学数学与信息科学学院,西安,710062 |
| |
| 基金项目： | 国家自然科学基金(No.10871121)~~ |
| |
| 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。
|
| 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 |
| |
| LIU Jie,WU Hongbo.R0-similarity relation between fuzzy sets and its properties[J].Computer Engineering and Applications,2011,47(31):53-56. |
| |
| Authors: | LIU Jie WU Hongbo |
| |
| Affiliation: | LIU Jie,WU Hongbo College of Mathematics and Information Sciences,Shaanxi Normal University,Xi'an 710062,China |
| |
| 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... |
| |
| Keywords: | fuzzy mathematics fuzzy logic R0-type logic system R0-implication operator R0-similarity relation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《计算机工程与应用》浏览原始摘要信息 |
|
点击此处可从《计算机工程与应用》下载全文 |
|
