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

A new class of fuzzy poverty measures

Authors
José Luis García-Lapresta, Casilda Laso de la Vega, Ricardo Alberto Marques Pereira, Ana Urrutia
Corresponding Author
José Luis García-Lapresta
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.161How to use a DOI?
Keywords
Poverty measures, aggregation functions, dual decomposition, exponential means.
Abstract

In this paper, we introduce and analyze a class of fuzzy poverty measures based on exponential means. Since poverty is a vague notion, individuals should not be classified in poor or non-poor. In our proposal, we have associated a degree of poverty to each income through a fuzzy membership function. We have extended normalized gaps from the classical approach, where poverty is a dichotomous notion, to the fuzzy setting. The proposed family of fuzzy poverty measures decomposes into the three I’s indicators: the incidence of poverty is captured through the headcount ratio, while intensity and inequality of poverty are measured by the core and the remainder, respectively, of a parameterized exponential mean over the normalized gaps of (somewhat) poor individuals. Taking into account the features of the dual decomposition of exponential means, we provide some properties of the proposed fuzzy poverty measures.

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
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.161How 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  - José Luis García-Lapresta
AU  - Casilda Laso de la Vega
AU  - Ricardo Alberto Marques Pereira
AU  - Ana Urrutia
PY  - 2015/06
DA  - 2015/06
TI  - A new class of fuzzy poverty measures
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  - 1140
EP  - 1146
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.161
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.161
ID  - García-Lapresta2015/06
ER  -