Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

Normalized WDpWAM and WDpOWA spread measures

Authors
Marek Gagolewski
Corresponding Author
Marek Gagolewski
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.32How to use a DOI?
Keywords
Data fusion, aggregation, spread, deviation, variance, OWA operators.
Abstract
Aggregation theory often deals with measures of central tendency of quantitative data. As sometimes a different kind of information fusion is needed, an axiomatization of spread measures was introduced recently. In this contribution we explore the properties of WDpWAM and WDpOWA operators, which are defined as weighted Lp-distances to weighted arithmetic mean and OWA operators, respectively. In particular, we give forms of vectors that maximize such fusion functions and thus provide a way to normalize the output value so that the vector of maximal spread always leads to a fixed outcome, e.g., 1 if all the input elements are in [0, 1]. This might be desirable when constructing measures of experts’ opinions consistency or diversity in group decision making problems.
Open Access
This is an open access article distributed under the CC BY-NC license.

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TY  - CONF
AU  - Marek Gagolewski
PY  - 2015/06
DA  - 2015/06
TI  - Normalized WDpWAM and WDpOWA spread measures
BT  - 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (IFSA-EUSFLAT-15)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.32
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.32
ID  - Gagolewski2015/06
ER  -