A primer on triangle functions II

作者:Saminger Platz Susanne*; Sempi Carlo
来源:Aequationes Mathematicae, 2010, 80(3): 239-268.
DOI:10.1007/s00010-010-0038-x

摘要

In Saminger-Platz and Sempi (Aequationes Math 76:201-240, 2008) we presented an overview of concepts, facts and results on triangle functions based on the notions of t-norm, copula, (generalized) convolution, semicopula, quasi-copula. Here, we continue our presentation. In particular, we treat the concept of duality and study a few important cases of functional equations and inequalities for triangle functions like, e.g., convolution, Cauchy's equation, dominance, and Jensen convexity.

  • 出版日期2010-12