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An Analysis of Some Functions That Generalizes Weighted Means and OWA Operators


  • Bonifacio Llamazares

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    • IMUVA (Institute of Mathematics) and Department of Applied Economics, University of Valladolid, 47011 Valladolid, Spain
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In this paper, we analyze several classes of functions proposed in the literature to simultaneously generalize weighted means and ordered weighted averaging (OWA) operators: weighted OWA (WOWA) operators, hybrid weighted averaging (HWA) operators, and ordered weighted averaging-weighted average (OWAWA) operators. Since, in some cases, the results provided by these operators may be questionable, we introduce functions that also generalize both operators and characterize those satisfying a condition imposed to maintain the relationship among the weights.