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  • Dedekind-MacNeille completion of multivariate copulas via ALGEN method
    Omladič, Matjaž ; Stopar, Nik
    The problem of the Dedekind-MacNeille completion of the class of ▫$n$▫-copulas originated in 2005 and is well-known to all the experts in the field. Unlike in the bivariate case, where the solution ... is just the class of ▫$n$▫-quasi-copulas, in case that ▫$n >2$▫ this class is simply too big. We solve the problem by identifying an appropriate concrete subclass together with concrete meet and join operations so that the requirements for the completion are satisfied. Of course, the construction is made so that the induced order coincides with the starting pointwise order on ▫$n$▫-quasi-copulas. Additionally, we want to enhance and promote the technique used to solve this problem obtained by upgrading a method developed by the authors of this paper to solve some other questions. We call the version of the method we present here the Algebraic Obstacles in the Geometry of Negative Volumes (ALGEN for short).
    Source: Fuzzy sets and systems : international journal of soft computing and intelligence. - ISSN 0165-0114 (Vol. 441, Aug. 2022, str. 321-334)
    Type of material - article, component part ; adult, serious
    Publish date - 2022
    Language - english
    COBISS.SI-ID - 144015619

    Link(s):

    https://www.sciencedirect.com/science/article/pii/S0165011421003900
    DOI

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