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区间值模糊图中的边的性质
引用本文:张红.区间值模糊图中的边的性质[J].青海师范大学学报(自然科学版),2013,29(3):11-13,22.
作者姓名:张红
作者单位:青海师范大学数学系,青海西宁,810008
摘    要:本文主要是通过对区间值模糊图的基本定义及性质的学习,讨论了区间值模糊图中边的性质及其连通性.首先,通过区间数排序中定义的区间数宽度,导出了区间图的边的长度和区间值模糊图中边的宽度;然后,从值模糊图论已得到的值模糊强边,又定义了区间值模糊图中的强边及割边;最后,本文又研究了区间值模糊图的连通性,以及构成最优路和路的长度满足的条件.

关 键 词:区间值模糊图  模糊区间长度  割边

The properties of arcs in interval-valued fuzzy graphs
ZHANG Hong.The properties of arcs in interval-valued fuzzy graphs[J].Journal of Qinghai Normal University(Natural Science Edition),2013,29(3):11-13,22.
Authors:ZHANG Hong
Institution:ZHANG Hong (Department of Maths, Qinghai Normal University, Xining 810008, China)
Abstract:In this paper, through the study to the basic definitions and properties of the interval--value fuzzy graph, discusses the properties of the arcs and connectivity in interval-valued fuzzy graph. Firstly, By the width of interval numbers is defined in the sequence of the interval number, gives the length of arc in the interval graph in and the width of arc in the interval--value fuzzy graph; Then, through the fuzzy strong arc has been in the fuzzy graph theory, this paper also defines strong arc and cutting arc in the in- tervalvalue fuzzy graph. Finally, the connectivity is studied in the interval-valued fuzzy graph, and constituting the length of arc and the optimal road shall meet the conditions.
Keywords:interval-value fuzzy graph  length of arc in the interval eravh  cutting arc
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