| Vague集的表现定理 |
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| 引用本文： | 贺鹏飞,辛小龙.Vague集的表现定理[J].模糊系统与数学,2012,26(1):141-147. |
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| 作者姓名： | 贺鹏飞 辛小龙 |
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| 作者单位： | 西北大学数学系,陕西西安,710127 |
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| 摘 要： | 在Fuzzy集理论和现有Vague集理论的基础上,引入二元集合套的概念,讨论它的代数性质。在此基础上,结合Vague集的分解定理,建立Vague集的表现定理,同时得到一系列相关结果,进一步揭示Vague集与经典集合之间的联系。
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| 关 键 词： | Vague集 二元集合套 软代数 表现定理 |
Representation Theorems of Vague Sets |
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| HE Peng-fei
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XIN Xiao-long.Representation Theorems of Vague Sets[J].Fuzzy Systems and Mathematics,2012,26(1):141-147. |
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| Authors: | HE Peng-fei XIN Xiao-long |
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| Institution: | (Department of Mathematics,Northwest University,Xi’an 710127,China) |
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| Abstract: | Based on the theory of fuzzy sets and the existing theory of vague sets,the concept of binary nested sets is introduced and the algebraic properties of it are discussed.And then,combined with the decomposition theorem of vague sets,representation theorems of vague sets are established.At the same time,some relative results are revealed,which brings to light the connection between vague sets and classical sets. |
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| Keywords: | Vague Sets Binary Nested Sets Soft Algebra Representation Theorems |
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