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  • Coherence and avoidance of sure loss for standardized functions and semicopulas
    Klement, Erich Peter ...
    We discuss avoidance of sure loss and coherence results for semicopulas and standardized functions, i.e., for grounded, ▫$1$▫-increasing functions with value ▫$1$▫ at ▫$(1, 1, \ldots , 1)$▫. We ... characterize the existence of a ▫$k$▫-increasing ▫$n$▫-variate function ▫$C$▫ fulfilling ▫$A \le C \le B$▫ for standardized ▫$n$▫-variate functions ▫$A$▫, ▫$B$▫ and discuss methods for constructing such functions. Our proofs also include procedures for extending functions on some countably infinite mesh to functions on the unit box. We provide a characterization when ▫$A$▫ respectively ▫$B$▫ coincides with the pointwise infimum respectively supremum of the set of all ▫$k$▫-increasing ▫$n$▫-variate functions ▫$C$▫ fulfilling ▫$A \le C \le B$▫.
    Source: International journal of approximate reasoning. - ISSN 0888-613X (Vol. 165, article no. 109089, Feb. 2024, 20 str.)
    Type of material - article, component part
    Publish date - 2024
    Language - english
    COBISS.SI-ID - 174544131

    Link(s):

    DiRROS - Digital repository of Slovenian research organizations
    DOI

source: International journal of approximate reasoning. - ISSN 0888-613X (Vol. 165, article no. 109089, Feb. 2024, 20 str.)
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