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A limit theorem for triangle functions

delete2006-01-01
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PRE
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E
Endre Pap
I
Ivana Štajner-Papuga
DOI:10.1016/j.fss.2005.04.008delete
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摘要

摘要

En 中文
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. (c) 2005 Elsevier B.V. All rights reserved.
Keyword:
semiring
pseudo-operations
generalized pseudo-convolution
pseudo-Laplace transforms
triangle function
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期刊

Fuzzy Sets and Systems 封面图
Fuzzy Sets and Systems
IF:
2.7
论文数:
7.6K
被引数:
1.5W

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