Using The Owa Operator In The Minkowski Distance
Zenodo (CERN European Organization for Nuclear Research)Published 29 September 2008Open access
José M. Merigó, Anna M. Gil‐Lafuente
Citations48
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TL;DR
A general overvi ew of this type of generalization of aggregation operators and a wide range of particular cases found in this generalization such as the ordered weighted averagi ng distance (OWAD), the Euclidean ordered weighted ave r ging distance (EOWAD) operator, the normalized Minkowski distance, etc.
Abstract
We study different types of aggregation operators such as the ordered weighted averaging (OWA) operator and the generalized OWA (GOWA) operator. We analyze the use of OWA operators in the Minkowski distance. We will call these new distance aggregation operator the Minkowski ordered weighted averaging distance (MOWAD) operator. We give a general overview of this type of generalization and study some of their main properties. We also analyze a wide range of particular cases found in this generalization such as the ordered weighted averaging distance (OWAD) operator, the Euclidean ordered weighted averaging distance (EOWAD) operator, the normalized Minkowski distance, etc. Finally, we give an illustrative example of the new approach where we can see the different results obtained by using different aggregation operators.
Keywords
Computer ScienceEngineering
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