| Flou值模糊集的表现定理 |
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| 引用本文： | 陈黎明,郭嗣琮,毕玲玲.Flou值模糊集的表现定理[J].计算机工程与应用,2014(8):108-113,214. |
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| 作者姓名： | 陈黎明 郭嗣琮 毕玲玲 |
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| 作者单位： | 辽宁工程技术大学理学院 |
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| 基金项目： | 教育部高校博士学科点专项科研基金(No.20102121110002) |
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| 摘 要： | 为了弥补区间值模糊集和三参数模糊集在模糊信息表达方面的不足，在Flou集的基础上，提出了一种新的L模糊集，Flou值模糊集，并用投票模型对其作出解释。引入Flou嵌套集的概念，结合Flou值模糊集截集的定义及分解定理，建立了Flou值模糊集的表现定理，并用一个实际算例验证了表现定理的有效性。它揭示了Flou集和Flou值模糊集的联系，提供了一种利用Flou嵌套集拼成Flou值模糊集的方法。为处理模糊信息提供了一种新的工具，并为Flou值模糊集的研究和应用奠定了初步的理论基础。
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| 关 键 词： | 模糊集 Flou集 Flou值模糊集 表现定理 |
Representation theorem of Flou-valued fuzzy sets |
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| CHEN Liming;GUO Sicong;BI Lingling.Representation theorem of Flou-valued fuzzy sets[J].Computer Engineering and Applications,2014(8):108-113,214. |
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| Authors: | CHEN Liming;GUO Sicong;BI Lingling |
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| Affiliation: | CHEN Liming;GUO Sicong;BI Lingling;College of Science,Liaoning Technical University; |
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| Abstract: | In this paper, a new kind of L-fuzzy set is introduced which is called Flou-valued fuzzy set to consider the defi-ciency of interval-valued fuzzy set and three-parameters interval-valued fuzzy set in expressing fuzzy information. It puts forward Flou nested set. Using Flou nested set and combined with cut sets as well as decomposition theorems of Flou-valued fuzzy set, the representation theorems are obtained and its effectiveness is vertified by a practical account case. |
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| Keywords: | fuzzy set Flou set Flou-valued fuzzy set representation theorem |
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