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

Flou值模糊集的表现定理

陈黎明,郭嗣琮,毕玲玲   

  1. 辽宁工程技术大学 理学院,辽宁 阜新 123000
  • 出版日期:2014-04-15 发布日期:2014-05-30

Representation theorem of Flou-valued fuzzy sets

CHEN Liming, GUO Sicong, BI Lingling   

  1. College of Science, Liaoning Technical University, Fuxin, Liaoning 123000, China
  • Online:2014-04-15 Published:2014-05-30

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