Title
On two construction methods of copulas from fuzzy implication functions.
Abstract
Copulas have been deeply investigated because of their applications in many fields. From the theoretical point of view, a key point in this research lies in the search of new construction methods of parametrized families of copulas. This paper presents some construction methods based on fuzzy implication functions by reversing the construction methods of fuzzy implication functions from copulas presented by P. Grzegorzewski in some recent papers. Specifically, the PSI and SSI-construction methods of copulas are proposed which provide copulas from a given fuzzy implication function. In addition, the analysis of these construction methods of copulas lead to the characterization of the intersection of the probabilistic S and survival S-implications with (S, N) and R-implications.
Year
DOI
Venue
2016
10.1007/s13748-015-0069-6
Progress in AI
Keywords
Field
DocType
Fuzzy implication function, Copula, t-conorm, Survival copula
Fuzzy implication,Computer science,Copula (linguistics),Copula (probability theory),Theoretical computer science,Artificial intelligence,Probabilistic logic,Machine learning
Journal
Volume
Issue
ISSN
5
1
2192-6360
Citations 
PageRank 
References 
5
0.53
15
Authors
3
Name
Order
Citations
PageRank
Sebastià Massanet143834.95
Daniel Ruiz-Aguilera234525.56
Joan Torrens3125992.67