Weighted aggregation operators based on minimization |
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| Authors: | Radko Mesiar Lucia Vavríková |
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| Affiliation: | a Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia
b Department of Quantitative Methods and Information Technology, Faculty of Economics, Matej Bel University, Tajovského 10, 975 90 Banská Bystrica, Slovakia |
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| Abstract: | Minimization based aggregation operators Ag,D are discussed. Special attention is paid to weighting function g based cases related to some fixed dissimilarity function D. When D2(x,y)=(x-y)2, we recognize mixture operators and we recall some sufficient conditions for g ensuring the monotonicity of Ag,D. For D1(x,y)=|x-y| and non-decreasing (non-increasing) g, Ag,D is shown to be the upper (lower) median whenever Ag,D is an aggregation operator. |
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| Keywords: | Aggregation operator Dissimilarity function Mixture operator Weighting function Upper median Lower median |
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