摘要
研究基于质心的二型模糊集的模糊熵和加权模糊熵,构造了两个二型模糊集的模糊熵度量.针对二型模糊集的特殊情形,提出一种新的区间值模糊集的模糊熵度量,既弥补了现有区间值模糊集退化为普通模糊集时熵为零的不足,又克服了两个明显不同的区间值模糊集熵相等的缺点.数值实例和仿真实验表明了所提出模糊熵的合理性和实用性.
Centroid fuzzy entropy and weighted fuzzy entropy of type-2 fuzzy sets are studied, and their expressions are constructed. For the special case of type-2 fuzzy sets, a new definition of fuzzy entropy of interval-valued fuzzy sets is proposed, which remedies the shortcomings of existing ones in the cases that when an interval-valued fuzzy set degenerates the ordinary fuzzy set, its entropy is zero, and that two distinct interval-valued fuzzy sets have the same fuzzy entropy. Numerical examples show the rationality and practicality of the proposed fuzzy entropy.
出处
《控制与决策》
EI
CSCD
北大核心
2012年第3期408-412,共5页
Control and Decision
基金
国家自然科学基金项目(10771043)
关键词
二型模糊集
区间值模糊集
模糊熵度量
type-2 fuzzy sets
interval-valued fuzzy sets
fuzzy entropy
