A New Minkowski Distance Based on Induced Aggregation Operators

DOI

10.2991/ijcis.2011.4.2.1How to use a DOI?

Keywords

Minkowski distance, Aggregation operators, IOWA operator, Decision making.

Abstract

The Minkowski distance is a distance measure that generalizes a wide range of distances such as the Hamming and the Euclidean distance. In this paper, we develop a generalization of the Minkowski distance by using the induced ordered weighted averaging (IOWA) operator. We call it the induced Minkowski OWA distance (IMOWAD) or induced generalized OWA distance (IGOWAD) operator. Then, we are able to obtain a wide range of distance measures that includes the Minkowski distance, the Minkowski OWA distance (MOWAD), and the induced OWA distance (IOWAD). We also present a further generalization by using quasi-arithmetic means. We end the paper with a numerical example of the new approach.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - José M. Merigó
AU  - Montserrat Casanovas
PY  - 2011
DA  - 2011/04/01
TI  - A New Minkowski Distance Based on Induced Aggregation Operators
JO  - International Journal of Computational Intelligence Systems
SP  - 123
EP  - 133
VL  - 4
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2011.4.2.1
DO  - 10.2991/ijcis.2011.4.2.1
ID  - Merigó2011
ER  -