| 基于M-模糊化P-闭集族刻画M-模糊化拟阵 |
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| 引用本文： | 王岚,魏赟鹏.基于M-模糊化P-闭集族刻画M-模糊化拟阵[J].数学的实践与认识,2017(4):234-240. |
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| 作者姓名： | 王岚 魏赟鹏 |
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| 作者单位： | 1. 牡丹江师范学院数学科学学院,黑龙江牡丹江,157011;2. 牡丹江医学院卫生经济管理学院,黑龙江牡丹江,157011 |
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| 基金项目： | 国家自然科学基金(11371002)，黑龙江省自然科学基金(A201209)，黑龙江省教育厅青年学术骨干项目(1251G063)，牡丹江师范学院科研项目(GY201204;GP2017001)，黑龙江省教育厅资助项目(1351MSYYB010 |
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| 摘 要： | 在已有M-模糊化拟阵的研究基础上,引入了M-模糊化秩函数及M-模糊化P-闭包算子的定义,研究了M-模糊化P-闭包算子的性质,并定义了M-模糊化P-闭集族及研究了它的基本性质,同时借助于M-模糊化拟阵的层拟阵结构,得到M-模糊化拟阵可由M-模糊化P-闭集族等价刻画这一结论.
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| 关 键 词： | M-模糊化拟阵 M-模糊化秩函数 M-模糊化P-闭包算子 M-模糊化P-闭集族 |
Characterization of M-fuzzifying Matroids by M-fuzzifying Family of P-closed Sets |
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| WANG Lan,WEI Yun-peng.Characterization of M-fuzzifying Matroids by M-fuzzifying Family of P-closed Sets[J].Mathematics in Practice and Theory,2017(4):234-240. |
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| Authors: | WANG Lan WEI Yun-peng |
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| Abstract: | In this paper,based on existing research of M-fuzzifying matroids,by the definitions of M-fuzzifying rank function and M-fuzzifying P-closure operators,some properties of M-fuzzifying P-closure operators are shown,and the notion of M-fuzzifying family of P-closed sets is defined,then its properties are found.By the cuts of M-fuzzifying matroid,it is proved that M-fuzzifying matroid can be expressed by M-fuzzifying family of P-closed sets.In short,it is a true that there is one-to-one corresponding between M-fuzzifying matroid and M-fuzzifying P-closure operators or M-fuzzifying family of P-closed sets. |
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| Keywords: | function M-fuzzifying P-closure operators M-fuzzifying family of P-closed sets |
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