计算机工程与应用 ›› 2014, Vol. 50 ›› Issue (8): 108-113.
• 数据库、数据挖掘、机器学习 • 上一篇 下一篇
陈黎明,郭嗣琮,毕玲玲
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CHEN Liming, GUO Sicong, BI Lingling
Online:
Published:
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。
关键词: 模糊集, Flou集, Flou值模糊集, 表现定理
Abstract: In this paper, a new kind of L-fuzzy set is introduced which is called Flou-valued fuzzy set to consider the deficiency 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.
Key words: fuzzy set, Flou set, Flou-valued fuzzy set, representation theorem
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, 50(8): 108-113.
CHEN Liming, GUO Sicong, BI Lingling. Representation theorem of Flou-valued fuzzy sets[J]. Computer Engineering and Applications, 2014, 50(8): 108-113.
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