Title
A limit theorem for triangle functions
Abstract
A wide class of triangle functions that can be interpreted as generalized pseudo-convolutions of distribution functions has been considered. In order to find out whether a nontrivial limit for the sequence of the pseudo-convolutions of distribution functions exists or not, some pseudo-Laplace-type transformations have been introduced. The main result is illustrated with a family of pseudo-convolutions based on a family of Schweizer-Sklar t-norms and another example is given with a calculation of the analytical form of the limit function.
Year
DOI
Venue
2006
10.1016/j.fss.2005.04.008
Fuzzy Sets and Systems
Keywords
Field
DocType
main result,nontrivial limit,schweizer-sklar t-norms,analytical form,limit function,triangle function,wide class,limit theorem,distribution function,pseudo-laplace-type transformation,generalized pseudo-convolutions,t norm,laplace transform,generalized function,analytical function,semiring
T-norm,Limit of a function,Discrete mathematics,Triangular function,Mathematical analysis,Analytic function,Pure mathematics,Uniform boundedness,Generalized function,Distribution function,Mathematics,Semiring
Journal
Volume
Issue
ISSN
157
2
Fuzzy Sets and Systems
Citations 
PageRank 
References 
2
0.45
3
Authors
2
Name
Order
Citations
PageRank
Endre Pap192191.69
Ivana Štajner-Papuga2656.80