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New transformations of aggregation functions based on monotone systems of functions
Názov New transformations of aggregation functions based on monotone systems of functions Aut.údaje LeSheng Jin ... [et al.] Autor Jin Le-Sheng (20%)
Spoluautori Mesiar Radko (20%)
Kalina Martin (20%)
Špirková Jana 1962- (20%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Borkotokey Surajit (20%)
Zdroj.dok. International Journal of Approximate Reasoning. Vol. 118 (2020), pp. 79-95. - New York : Elsevier Science Ltd., 2020 Kľúč.slová aggregation functions konvexná suma - convex sum kopuly - domes GCS-transformácia - GCS-transform - Generalized-Convex-Sum-Transformation Form.deskr. články - journal articles Jazyk dok. angličtina Krajina Spojené štáty Anotácia 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. Kategória publikačnej činnosti ADC Číslo archívnej kópie 48190 Kategória ohlasu 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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