IDEAS home Printed from https://ideas.repec.org/a/dug/actaec/y2017i4p209-226.html

Axiomatic Analysis of the Semi-Fuzzy Poverty Indices MIf and PGf

Author

Listed:
  • Majda Fikri

    (RTZ Marocco)

  • Mohammed El Khomssi

    (Marocco)

Abstract

Every poverty index can be classified into one of the two major classes; classical indices and fuzzy indices; except for the semi-fuzzy poverty indices such as PGf and MIf which hybridize between the theory of classical sets and that of fuzzy sets, which makes their axiomatic analysis very special since it uses both classical and fuzzy mathematical tools. In order to better exploit and characterize the PGf and MIf indices, we propose in this paper an axiomatic analysis by mathematically demonstrating, on the one hand, the satisfaction of these two indices of a set of axioms most desirable by economists, which shows their performance in describing poverty. On the other hand, we discuss their limits according to three axioms that we demonstrate in order to improve the formula of these semi-fuzzy indices of poverty.

Suggested Citation

  • Majda Fikri & Mohammed El Khomssi, 2017. "Axiomatic Analysis of the Semi-Fuzzy Poverty Indices MIf and PGf," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 13(4), pages 209-226, AUGUST.
    • Handle: RePEc:dug:actaec:y:2017:i:4:p:209-226
    as

    Download full text from publisher

    File URL: http://journals.univ-danubius.ro/index.php/oeconomica/article/view/3977/4140
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bruce D. Meyer & James X. Sullivan, 2003. "Measuring the Well-Being of the Poor Using Income and Consumption," NBER Working Papers 9760, National Bureau of Economic Research, Inc.
    2. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    3. Ravallion, Martin, 2003. "Targeted transfers in poor countries : revisiting the tradeoffs and policy options," Policy Research Working Paper Series 3048, The World Bank.
    4. Majda Fikri & Mohammed Elkhomssi & Sahar Saoud, 2011. "Proposal of a Semi Fuzzy Poverty Index," EuroEconomica, Danubius University of Galati, issue 28, pages 23-37, May.
    5. Terra McKinnish, 2005. "Importing the Poor: Welfare Magnetism and Cross-Border Welfare Migration," Journal of Human Resources, University of Wisconsin Press, vol. 40(1).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mykerezi, Elton & Mills, Bradford F., 2009. "On Intra-Annual Poverty in the U.S.: Prevalence, Causes and Response to Food Stamp Program Use," Staff Papers 49095, University of Minnesota, Department of Applied Economics.
    2. Atasoy, Sibel & Mills, Bradford F. & Mykerezi, Elton, 2008. "Intensity of Food Stamp Use and Transient and Chronic Poverty: Evidence from the Panel Study of Income Dynamics," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6541, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. Chakravarty, Satya R. & Deutsch, Joseph & Silber, Jacques, 2008. "On the Watts Multidimensional Poverty Index and its Decomposition," World Development, Elsevier, vol. 36(6), pages 1067-1077, June.
    4. Borooah, Vani, 2007. "Measuring economic inequality: deprivation, economising and possessing," MPRA Paper 19422, University Library of Munich, Germany.
    5. Alexandra K. Murphy & Natasha V. Pilkauskas & Nicole Kovski & Alix Gould-Werth, 2025. "How Does Transportation Insecurity Compare and Relate to Other Indicators of Material Hardship in the U.S.?," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 178(1), pages 435-463, May.
    6. Hendrik Thiel & Stephan L. Thomsen, 2015. "Individual Poverty Paths and the Stability of Control-Perception," SOEPpapers on Multidisciplinary Panel Data Research 794, DIW Berlin, The German Socio-Economic Panel (SOEP).
    7. Belhadj, Besma & Limam, Mohamed, 2012. "Unidimensional and multidimensional fuzzy poverty measures: New approach," Economic Modelling, Elsevier, vol. 29(4), pages 995-1002.
    8. repec:pru:wpaper:8 is not listed on IDEAS
    9. Lisa Hoeschle & Shuang Liu & Xiaohua Yu, 2025. "Let the Poor Talk About “Poverty”: Revisiting Poverty Alleviation in Rural China With Machine Learning," Poverty & Public Policy, John Wiley & Sons, vol. 17(2), June.
    10. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    11. Temple, Jonathan & Ying, Huikang, 2014. "Life During Structural Transformation," CEPR Discussion Papers 10297, Centre for Economic Policy Research.
    12. Edmark, Karin, 2007. "Effects of work requirements on welfare migration," Working Paper Series 2007:29, IFAU - Institute for Evaluation of Labour Market and Education Policy.
    13. Maki Michinaka & Takahiro Ito, 2010. "Multidimensional Poverty Rankings based on Pareto Principle: A Practical Extension," Global COE Hi-Stat Discussion Paper Series gd10-139, Institute of Economic Research, Hitotsubashi University.
    14. Du Hongyu, 2025. "Advantages of regional development—A study on poverty alleviation in contiguous destitute areas," International Studies of Economics, John Wiley & Sons, vol. 20(3), pages 344-370, September.
    15. Ravallion, Martin & Chen, Shaohua, 2003. "Measuring pro-poor growth," Economics Letters, Elsevier, vol. 78(1), pages 93-99, January.
    16. Shishir Roy, 2024. "Gender gap in poverty biased by caste in India: an empirical analysis," Journal of Social and Economic Development, Springer;Institute for Social and Economic Change, vol. 26(3), pages 759-797, December.
    17. Chattopadhyay, Amit K. & Mallick, Sushanta K., 2007. "Income distribution dependence of poverty measure: A theoretical analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 241-252.
    18. Constantine Angyridis & Brennan Scott Thompson, 2016. "Negative income taxes, inequality and poverty," Canadian Journal of Economics, Canadian Economics Association, vol. 49(3), pages 1016-1034, August.
    19. Bossert, Walter & D’Ambrosio, Conchita, 2014. "Proximity-sensitive individual deprivation measures," Economics Letters, Elsevier, vol. 122(2), pages 125-128.
    20. Shirley, Peter, 2018. "The response of commuting patterns to cross-border policy differentials: Evidence from the American Community Survey," Regional Science and Urban Economics, Elsevier, vol. 73(C), pages 1-16.
    21. Bernhard Christoph, 2010. "The Relation Between Life Satisfaction and the Material Situation: A Re-Evaluation Using Alternative Measures," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 98(3), pages 475-499, September.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:dug:actaec:y:2017:i:4:p:209-226. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Daniela Robu (email available below). General contact details of provider: https://edirc.repec.org/data/fedanro.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.