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区间值模糊图的若干运算及相关性质

Some Operations and Related Properties of Interval-valued Fuzzy Graphs
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摘要 定义两个区间值模糊图的五种新的乘积运算,并证明两个区间值模糊图的偏模糊子图的弱乘积、经典乘积、直联、补乘积、结合是这两个区间值模糊图的弱乘积、经典乘积、直联、补乘积、结合的偏模糊子图,还说明强区间值模糊图类对这些运算的封闭性,最后给出与这五种运算相关的同构定理. Five new product operations of two interval-valued fuzzy graphs are defined.It proved that the weak product,classical product,direct connection,complementary product,and combination of the two partial-valued fuzzy graphs are partial interval values weak products of fuzzy graphs,classical products,direct connections,complementary products,and combined partial fuzzy subgraphs also illustrate the closeness of strong interval-valued fuzzy graphs to these operations.
作者 华毛加 索南仁欠 Huamaojia;Suonanrenqian(College of Mathematics and Statistics,Qinghai Normal University,Xining 810008,China;Graduate Student department,Qinghai Normal University,Xining 810008,China)
出处 《西北民族大学学报(自然科学版)》 2020年第4期1-6,共6页 Journal of Northwest Minzu University(Natural Science)
关键词 区间值模糊图 弱乘积 经典乘积 直联 补乘积 偏模糊子图 Interval-valued fuzzy graph Weak product Classical product Direct connection Complementary product Combination Partial fuzzy subgraph
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