预关联聚集函数
Preassociative aggregation functions
摘要:
结合性的经典性质在聚集函数论和模糊逻辑中经常被考虑。本文给出了各种预结合函数的公理化,其中预结合性是作者最近提出的结合性的推广。这些公理化是基于一些值得注意的结合运算类的现有特征,例如Aczélian半群类和t-范数类。
英文摘要:
The classical property of associativity is very often considered in aggregation function theory and fuzzy logic. In this paper we provide axiomatizations of various classes of preassociative functions, where preassociativity is a generalization of associativity recently introduced by the authors. These axiomatizations are based on existing characterizations of some noteworthy classes of associative operations, such as the class of Aczélian semigroups and the class of t-norms.
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