【摘要】 重叠函数和分组函数是在图像处理、分类和决策等问题中有着重要作用的两类特殊聚合算子,在它们的表示方法中,加法和乘法生成子对是两种广泛存在的重要形式。本文找到了这两种生成子对之间的密切联系,使得这两类函数的两种生成子对之间可以相互转化,并给出了重叠函数和分组函数与其生成子对函数间关系的新结果。更多还原

【Abstract】 Overlap functions and grouping functions are two special kinds of aggregation operators that play an important role in image processing,classification and decision making problems.The important representation methods of them are additive and multiplicative generator pairs,which are widely existent.In this paper,we find the close connection between the two kinds of generator pairs.This leads to the mutual transformation of the two kinds of generator pairs of two functions.The new results about the relationships between the two kinds of functions and their generator pairs are obtained.更多还原