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doi:10.1016/j.ins.2007.09.023 
Copyright © 2007 Elsevier Inc. All rights reserved.
Weighted aggregation operators based on minimization
Received 28 May 2007;
revised 21 August 2007;
accepted 26 September 2007.
Available online 1 October 2007.
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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.
Keywords: Aggregation operator; Dissimilarity function; Mixture operator; Weighting function; Upper median; Lower median
