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New transformations of aggregation functions based on monotone systems of functions
Title New transformations of aggregation functions based on monotone systems of functions Author info LeSheng Jin ... [et al.] Author Jin Le-Sheng (20%)
Co-authors Mesiar Radko (20%)
Kalina Martin (20%)
Špirková Jana 1962- (20%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Borkotokey Surajit (20%)
Source document International Journal of Approximate Reasoning. Vol. 118 (2020), pp. 79-95. - New York : Elsevier Science Ltd., 2020 Keywords aggregation functions konvexná suma - convex sum kopuly - domes GCS-transformácia - GCS-transform - Generalized-Convex-Sum-Transformation Form. Descr. články - journal articles Language English Country United States of America Annotation The paper introduces a Generalized-Convex-Sum-Transformation of aggregation functions. It has the form of a transformation of aggregation functions by monotone systems of functions. A special case of the proposed Generalized-Convex-Sum-Transformation is the well-known *-product, also called the Darsow product of copulas. Similarly, our approach covers Choquet integrals with respect to capacities induced by the considered aggregation function. The paper offers basic definitions and some properties of the mentioned transformation. Various examples illustrating the transformation are presented. The paper also gives two alternative transformations of aggregation functions under which the dimension of the transformed aggregation functions is higher than that of the original one. Interestingly, if a copula is transformed, under some conditions put on the monotone systems of functions, the transformed aggregation function is again a copula. (C) 2019 Elsevier Inc. All rights reserved. Public work category ADC No. of Archival Copy 48190 Repercussion category JWAID, T. - DE MEYER, H. - ISMAIL, A. Haj - DE BAETS, B. Curved splicing of copulas. In Information sciences. ISSN 0020-0255, 2021, vol. 556, pp. 95-110.
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