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New transformations of aggregation functions based on monotone systems of functions
SYS 0286447 LBL 01071^^^^^2200289^^^450 005 20240509134135.2 014 $a 000513990200005 $2 CCC 014 $a 000513990200005 $2 WOS CC. SCIE 014 $a 2-s2.0-85077134138 $2 SCOPUS 017 70
$a 10.1016/j.ijar.2019.12.004 $2 DOI 035 $a biblio/183611 $2 CREPC2 100 $a 20200827d2020 m y slo 03 ba 101 0-
$a eng 102 $a US 200 1-
$a New transformations of aggregation functions based on monotone systems of functions $f LeSheng Jin ... [et al.] 330 $a 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. 463 -1
$1 001 umb_un_cat*0297550 $1 011 $a 0888-613X $1 011 $a 1873-4731 $1 200 1 $a International Journal of Approximate Reasoning $v Vol. 118 (2020), pp. 79-95 $1 210 $a New York $c Elsevier Science Ltd. $d 2020 606 0-
$3 umb_un_auth*0167357 $a aggregation functions 606 0-
$3 umb_un_auth*0282698 $a konvexná suma $X convex sum 606 0-
$3 umb_un_auth*0282699 $a kopuly $X domes 606 0-
$3 umb_un_auth*0282703 $a GCS-transformácia $X GCS-transform $X Generalized-Convex-Sum-Transformation 608 $3 umb_un_auth*0273282 $a články $X journal articles 700 -1
$3 umb_un_auth*0274156 $a Jin $b Le-Sheng $9 20 $4 070 701 -0
$3 umb_un_auth*0022968 $a Mesiar $b Radko $9 20 $4 070 701 -1
$3 umb_un_auth*0141468 $a Kalina $b Martin $4 070 $9 20 701 -0
$3 umb_un_auth*0027767 $a Špirková $b Jana $f 1962- $p UMBEF05 $9 20 $4 070 $T Katedra kvantitatívnych metód a informačných systémov 701 -1
$3 umb_un_auth*0274157 $a Borkotokey $b Surajit $4 070 $9 20 801 $a SK $b BB301 $g AACR2 $9 unimarc sk T85 $x existuji fulltexy
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