Quasi-copulas and signed measures
نویسندگان
چکیده
منابع مشابه
Quasi-copulas and signed measures
We study the relationship between multivariate quasi-copulas and measures that they may or may not induce on [0, 1]n . We first study the mass distribution of the pointwise best possible lower bound for the set of n-quasi-copulas for n ≥ 3. As a consequence, we show that not every n-quasi-copula induces a signed measure on [0, 1]n . © 2010 Elsevier B.V. All rights reserved.
متن کاملBivariate quasi-copulas and doubly stochastic signed measures
We show that there exist bivariate proper quasi-copulas that do not induce a doubly stochastic signed measure on [0, 1]. We construct these quasi-copulas from the so-called proper quasitransformation square matrices.
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In this note we provide two alternative proofs to that given in [15] of the fact that the best possible lower bound for the set of n-quasi-copulas does not induce a stochastic measure on [0, 1]n for n ≥ 3: firstly, by reviewing its mass distribution, and secondly, by using concepts of self-affinity.
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2010
ISSN: 0165-0114
DOI: 10.1016/j.fss.2010.03.020