| 强反传递模糊矩阵及其性质 |
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| 引用本文： | 谷云东,王斌,赵峰.强反传递模糊矩阵及其性质[J].模糊系统与数学,2019(4):94-100. |
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| 作者姓名： | 谷云东 王斌 赵峰 |
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| 作者单位： | 新疆财经大学应用数学学院;华北电力大学数理学院;聊城大学数学科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(71171080);973国家重大基础研究计划项目(2009C-320602);聊城大学双语教学示范课程 |
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| 摘 要： | 首先探讨反传递模糊矩阵在网络分析中的意义,进而引入强反传递模糊矩阵概念,给出它的性质及其在网络分析中的应用;其次,研究强反传递模糊矩阵的等价刻画、图论特性、截阵性质、标准形以及周期与指数等问题;最后,给出的判定方法及强反传递圈的求法。
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| 关 键 词： | 模糊矩阵 反传递 强反传递圈 网络分析 |
Strong Anti-transitive Fuzzy Matrix and Its Properties |
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| GU Yun-dong,WANG Bin,ZHAO Feng.Strong Anti-transitive Fuzzy Matrix and Its Properties[J].Fuzzy Systems and Mathematics,2019(4):94-100. |
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| Authors: | GU Yun-dong WANG Bin ZHAO Feng |
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| Institution: | (School of Applied Mathematics,Xinjiang University of Finance and Economics,Urumqi 830012,China;School of Mathematics Science,Liaocheng University,Liaocheng 252059,China;School of Mathematics and Physics,North China Electric Power Universitjy,Beijing 102206,China) |
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| Abstract: | Firstly,the significance of anti transitive matrix in network analysis is discussed.On this basis,the definition of strong anti-transitive matrix is proposed.Then,its equivalent characterizations,graphic characteristic,cut-matrix properties,standard form period and index are studied.Finally,an algorithm for finding the strong anti-transitivc circle is proposed. |
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| Keywords: | Fuzzy Matrix Anti-transitive Strong Anti-transitive Network Analysis |
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