区间值模糊图的范畴性质  

Category Properties of Interval-valued Fuzzy Graphs

作　　者：杨文华 YANG Wen-hua(School of Statistics and Mathermatics,Inner Mongolia University of Finance and Economics,Huhhot 010020,China)

机构地区：[1]内蒙古财经大学统计与数学学院,内蒙古呼和浩特010020

出　　处：《数学的实践与认识》2020年第20期227-235,共9页Mathematics in Practice and Theory

基　　金：内蒙古自治区高等学校科学研究项目(NJZC16140)。

摘　　要：主要研究了区间值模糊图的范畴性质.首先介绍了区间值模糊图范畴的概念,其次证明了区间值模糊图范畴作为Set上的具体范畴是拓扑的,并构造了其初始结构和终结构,给出了其乘积和余积的形式,最后研究了其等子和余等子.In this paper,categorical aspects of interval-valued fuzzy graph are studied.Firstly,category of interval-valued fuzzy graph is defined.Next,category of interval-valued fuzzy graph is proved to be topological category on Set.Structures of initial and final lift of this category is obtained.The formations of product and coproduct in this categories are given.Finally,the formations of equalizer and coequalizer are researched.

关 键 词：区间值模糊图 拓扑范畴 初始结构 乘积 等子 

分 类 号：O159[理学—数学]