纺织高校基础科学学报2017，Vol.30Issue(2)：149-162,14.DOI:10.13338/j.issn.1006-8341.2017.02.001
m-极模糊图的运算及分解
Operations and decompositions of m-polar fuzzy graphs
摘要
Abstract
The operations union, join, composition, cartesian product, direct product, strong product, semi strong product, and dictionary product on m-polar fuzzy graphs are defined, and some necessary or sufficient conditions under which an m-polar fuzzy graph can be decomposed into the union (resp., join, composition, cartesian product, direct product, strong product, semi strong product,dictionary product) of two m-polar fuzzy graphs are given.Based on these results, equivalent definitions of m-polar fuzzy graph and union (resp., join, composition, cartesian product,direct product, strong product, semi strong product, dictionary product) of two finite m-polar fuzzy graphs are obtain.This not only exhibits the rationality of these operations defined on m-polar fuzzy graphs but also provides a way to fuzzify some crisp mathematical operations (e.g.union of two matroids, intersection of two matroids, etc.).关键词
m-极模糊图/m-极模糊图上的运算/m-极模糊图的分解Key words
m-polar fuzzy graph/operation on m-polar fuzzy graphs/decomposition of m-polar fuzzy graphs分类
数理科学引用本文复制引用
李生刚,杨小飞,李红霞,马苗..m-极模糊图的运算及分解[J].纺织高校基础科学学报,2017,30(2):149-162,14.基金项目
The National Natural Science Foundation of China(11501435,11641002) （11501435,11641002）
