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

A dual decomposition of the single-parameter Gini social evaluation functions

Authors
Carmen Puerta, Ana Urrutia
Corresponding Author
Carmen Puerta
Available Online June 2015.
DOI
10.2991/ifsa-eusflat-15.2015.13How to use a DOI?
Keywords
Income inequality, Social welfare, Aggregation functions, OWA operators, Dual decomposition.
Abstract

For each single-parameter Gini social evaluation function, and by using the dual decomposition of the OWA operators, we derive two contributing factors. The …rst one, the self-dual core that can be considered as a positional measure, similar to the mean. The second one, the anti-self dual remainder, that we will prove is an equality measure with balanced sensitivity to both tails.

Copyright
© 2015, 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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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
10.2991/ifsa-eusflat-15.2015.13
ISSN
1951-6851
DOI
10.2991/ifsa-eusflat-15.2015.13How to use a DOI?
Copyright
© 2015, 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/).

Cite this article

TY  - CONF
AU  - Carmen Puerta
AU  - Ana Urrutia
PY  - 2015/06
DA  - 2015/06
TI  - A dual decomposition of the single-parameter Gini social evaluation functions
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 70
EP  - 76
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.13
DO  - 10.2991/ifsa-eusflat-15.2015.13
ID  - Puerta2015/06
ER  -