[1]李红霞,巩增泰,刘 坤.区间值模糊图的图塔分解与表示定理[J].四川师范大学学报(自然科学版),2019,(01):41.[doi:10.3969/j.issn.1001-8395.2019.01.006]
 LI Hongxia,GONG Zengtai,LIU Kun.The Graph Tower Decomposition and Representation Theorems of the Interval-valued Fuzzy Graph[J].Journal of SichuanNormal University,2019,(01):41.[doi:10.3969/j.issn.1001-8395.2019.01.006]
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区间值模糊图的图塔分解与表示定理()
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《四川师范大学学报(自然科学版)》[ISSN:1001-8395/CN:51-1295/N]

卷:
期数:
2019年01期
页码:
41
栏目:
基础理论
出版日期:
2018-12-15

文章信息/Info

Title:
The Graph Tower Decomposition and Representation Theorems of the Interval-valued Fuzzy Graph
文章编号:
1001-8395(2019)01-0041-06
作者:
李红霞1 巩增泰2 刘 坤1
1.陇东学院 数学与统计学院, 甘肃 庆阳 745000; 2.西北师范大学 数学与统计学院, 甘肃 兰州 730070
Author(s):
LI Hongxia1 GONG Zengtai2 LIU Kun1
1.School of Mathematics and Statistics, College of Longdong, Qingyang 745000, Gansu; 2.College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu
关键词:
模糊图 区间值模糊图
Keywords:
graph fuzzy graph interval-valued fuzzy graph
分类号:
O159
DOI:
10.3969/j.issn.1001-8395.2019.01.006
文献标志码:
A
摘要:
利用偏序集的同构关系研究区间值模糊图的图塔分解与表示.借助于所定义的[0,1]上区间集的划分,研究区间值模糊图的图集表示,证明[0,1]上区间集的划分与其对应的图集具有相同的序结构.同时,给出区间值模糊图的图塔分解及运算法则,建立区间值模糊图塔与区间值模糊图的同构关系.作为模糊图运算及其应用的基础性研究,得到了图集与区间值模糊图的转换定理.
Abstract:
We discuss the graph tower decomposition and representation theorems of the interval-valued fuzzy graph by using homogeneous transformation of posets. Furthermore, the subgraph representation of the interval-valued fuzzy graph is investigated by means of the partition of the class of sub-intervals on [0,1] proposed in this paper, it shows that an interval-valued fuzzy graph and its corresponding partition of the class of sub-intervals on [0,1] have the same ordering structure. In addition, the graph tower decomposition and the operation of the interval-valued fuzzy graph are obtained, and it is shown that the interval-valued fuzzy graph tower is isomorphic with the interval-valued fuzzy graph. As a fundamental research of the operation and its applications of the interval-valued fuzzy graph, the transformation theorem of the class of graphs and the interval-valued fuzzy graph is also given.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2018-06-15 接受日期:2018-06-25
基金项目:甘肃省科技计划项目(18JR3RM238)和甘肃省高等学校科研项目( 2017A-099)
第一作者简介:李红霞(1970—),女,副教授,主要从事模糊图与模糊优化理论的研究,E-mail:lhxia0929@163.com
更新日期/Last Update: 2018-12-15