Owa Operators In Generalized Distances
Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona)Published 26 September 2009Open access
José M. Merigó, Anna M. Gil‐Lafuente
Citations18
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TL;DR
The use of the OWA operator in generalized distances such as the quasi- arithmetic distance is introduced and the ordered weighted quasi-arithmetic distance (Quasi-O WAD) operator is called.
Abstract
Different types of aggregation operators such as the ordered weighted quasi-arithmetic mean (Quasi-OWA) operator and the normalized Hamming distance are studied. We introduce the use of the OWA operator in generalized distances such as the quasiarithmetic distance. We will call these new distance aggregation the ordered weighted quasi-arithmetic distance (Quasi-OWAD) operator. We develop a general overview of this type of generalization and study some of their main properties such as the distinction between descending and ascending orders. We also consider different families of Quasi-OWAD operators such as the Minkowski ordered weighted averaging distance (MOWAD) operator, the ordered weighted averaging distance (OWAD) operator, the Euclidean ordered weighted averaging distance (EOWAD) operator, the normalized quasi-arithmetic distance, etc.
Keywords
Decision SciencesMathematicsEngineering
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