Abstract
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.
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Saminger-Platz, S., Sempi, C. A primer on triangle functions II. Aequat. Math. 80, 239–268 (2010). https://doi.org/10.1007/s00010-010-0038-x
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DOI: https://doi.org/10.1007/s00010-010-0038-x