您的位置:首页  > 论文页面

一类二维模糊群

发表时间:2009-07-15  浏览量:1447  下载量:428
全部作者: 孙旭东,聂盛川,郭嗣琮
作者单位: 辽宁工程技术大学理学院
摘 要: 不同于传统的二维模糊集合研究,所讨论的二维模糊集合是根据二维平面下模糊点的定义得到的。同时,根据圆形模糊结构元方法具体讨论了一类特殊的二维模糊数(由椭圆形模糊数和圆形模糊数组成)。为研究这类模糊数的代数性质,通过定义一种代数运算,研究了其所构成的代数系统,证明了它的构成群,并给出了一些性质。
关 键 词: 模糊数学;圆形模糊结构元;二维模糊数;群
Title: A kind of two-dimensional fuzzy group
Author: SUN Xudong, NIE Shengchuan, GUO Sizong
Organization: College of Science, Liaoning Technical University
Abstract: Unlike the traditional research of two-dimensional fuzzy set, this paper discusses the fuzzy set based on the definition of the fuzzy point in the two-dimensional plane. At the same time, according to the method of circular fuzzy structured element, a special type of two-dimensional fuzzy number is discussed in detail (be comprised of elliptical fuzzy number and circular fuzzy number). In order to study the algebraic properties of the two-dimensional fuzzy number, this paper first defines a kind of algebraic operation, and studies a class of two-dimensional fuzzy number’s algebraic system that is formed by the circular fuzzy structured element. The paper proves that algebraic system is a group and gives its properties.
Key words: fuzzy mathematics; circular fuzzy structured element; two-dimensional fuzzy number; group
发表期数: 2009年7月第13期
引用格式: 孙旭东,聂盛川,郭嗣琮. 一类二维模糊群[J]. 中国科技论文在线精品论文,2009,2(13):1380-1383.
 
0 评论数 0
暂无评论
友情链接