Extensions of Discrete Copulas to Sparse Copulas

In this article, we answer positively an open question posed in [G. Mayor, J. Suñer, and J. Torrens, "Copula-like operations on finite settings," IEEE Trans. Fuzzy Syst. , vol. 13, no. 4, pp. 468-477, Aug. 2005] concerning the extensions of discrete copulas to shuffles of Min. Moreover, we...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2021-11, Vol.29 (11), p.3546-3551
Main Authors: Fernandez-Sanchez, Juan, Quesada-Molina, Jose Juan, Ubeda-Flores, Manuel
Format: Article
Language:English
Subjects:
Discrete copula
extension
Fuzzy logic
Fuzzy set theory
idempotent copula
Questions
sparse copula
Statistical distributions
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Summary:In this article, we answer positively an open question posed in [G. Mayor, J. Suñer, and J. Torrens, "Copula-like operations on finite settings," IEEE Trans. Fuzzy Syst. , vol. 13, no. 4, pp. 468-477, Aug. 2005] concerning the extensions of discrete copulas to shuffles of Min. Moreover, we also use the extension of discrete copulas to sparse copulas, associated with discrete copulas, of idempotent copulas, in particular, the copula M, in order to answer the open question in an alternative way.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2020.3021906