Advertisement

An Axiomatic Approach to Multidimensional Poverty Measurement via Fuzzy Sets

  • Satya R. Chakravarty
Part of the Economic Studies in Inequality, Social Exclusion and Well-Being book series (EIAP, volume 3)

Keywords

Membership Function Poverty Measurement Poverty Status Multidimensional Poverty Poverty Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Alkire S (2005) Measuring the freedom aspects of capabilities. Global Equity Initiative, Harvard UniversityGoogle Scholar
  2. Anand S (1997) Aspects of poverty in Malaysia. Review of Income and Wealth 23:1–16.CrossRefGoogle Scholar
  3. Atkinson AB (2003) Multidimensional deprivation: contrasting social welfare and counting approaches. Journal of Economic Inequality 1:51–65.CrossRefGoogle Scholar
  4. Atkinson AB, Bourguignon F (1982) The comparison of multidimensioned distributions of economic status. Review of Economic Studies 49:183–201.CrossRefGoogle Scholar
  5. Balestrino A (1994) Poverty and functionings: issues in measurement and public action. Giornale degli economisti e Annali di economia 53:389–406.Google Scholar
  6. Balestrino A (1998) Counting the poor in a fuzzy way: the head-count ratio and the monotonicity transfer axioms. Notizie di Politeia 14:77–86.Google Scholar
  7. Balestrino A, Chiappero-Martinetti E (1994) Poverty, differentiated needs and information. Mimeo, University of PisaGoogle Scholar
  8. Baliamoune M (2003) On the measurement of human well-being: fuzzy set theory and Sen’s capability approach. Presented at the WIDER conference on Inequality, Poverty and Human Well-being, 30-31 MayGoogle Scholar
  9. Basu K (1987) Axioms for fuzzy measures of inequality. Mathematical Social Sciences 14:69–76.CrossRefGoogle Scholar
  10. Betti G, Verma VK (1998) Measuring the degree of poverty in a dynamic and comparative context: a multidimensional approach using fuzzy set theory. Working Paper n. 22, Department of Quantitative Methods, University of SienaGoogle Scholar
  11. Blackorby C, Donaldson D (1980) Ethical indices for the measurement of poverty. Econometrica 58:1053–1060.CrossRefGoogle Scholar
  12. Blaszczak-Przybycinska I (1992) Multidimensional statistical analysis of poverty in Poland. In: Polish Statistical Association and Central Statistical Office (ed.), Poverty measurement for economies in transition. Warsaw, pp 307–327.Google Scholar
  13. Bourguignon F, Chakravarty SR (1999) A family of multidimensional poverty measures. In: Slottje DJ (ed), Advances in econometrics, income distribution and scientific methodology: essays in honor of C. Dagum. Physica-Verlag, Heidelberg, pp 331–344.Google Scholar
  14. Bourguignon F, Chakravarty SR (2003) The measurement of multidimensional poverty. Journal of Economic Inequality 1:25–49.CrossRefGoogle Scholar
  15. Casini L, Bernetti I (1996) Public project evaluation, environment, sustainability and Sen’s theory. In: Balestrino A, Carter I (eds) Functionings and capabilities: normative and policy issues. Notizie di Politeia, 12:55–78.Google Scholar
  16. Cerioli A, Zani S (1990) A fuzzy approach to the measurement of poverty. In: Dagum C, Zenga M (eds) Income and wealth distribution, inequality and poverty. Springer-Verlag, New York, pp 272–284.Google Scholar
  17. Chakravarty SR (1983a) Ethically flexible measures of poverty. Canadian Journal of Economics 16:74–85.CrossRefGoogle Scholar
  18. Chakravarty SR (1983b) A new index of poverty. Mathematical Social Sciences 6:307–313.zbMATHCrossRefGoogle Scholar
  19. Chakravarty SR (1983c) Measures of poverty based on representative income gaps. Sankhya 45:69–74.Google Scholar
  20. Chakravarty SR (1990) Ethical social index numbers. Springer-Verlag, New YorkGoogle Scholar
  21. Chakravarty SR (1997) On Shorrocks’ reinvestigation of the Sen poverty index. Econometrica 65:1241–1242.zbMATHCrossRefMathSciNetGoogle Scholar
  22. Chakravarty SR, Kanbur R, Mukherjee D (2005) Population growth and poverty measurement. Social Choice and Welfare: forthcomingGoogle Scholar
  23. Chakravarty SR, Majumder A (2005) Measuring human poverty: a generalized index and an application using basic dimensions of life and some anthropometric indicators. Journal of Human Development 6:275–299.CrossRefGoogle Scholar
  24. Chakravarty SR, Mukherjee D, Ranade R (1998) On the family of subgroup and factor decomposable measures of multidimensional poverty. Research on Economic Inequality 8:175–194.Google Scholar
  25. Chakravarty SR, Roy R (1995) Measurement of fuzziness: a general approach. Theory and Decision 19:163–169.CrossRefMathSciNetGoogle Scholar
  26. Cheli B, Lemmi A (1995) A “Totally” fuzzy and relative approach to the multi-dimensional analysis of poverty. Economic Notes 24:115–134.Google Scholar
  27. Chiappero-Martinetti E (1994) A new approach to evaluation of well-being and poverty by fuzzy set theory. Giornale degli economisti e annali di economia 53:367–388.Google Scholar
  28. Chiappero-Martinetti E (1996) Standard of living evaluation based on Sen’s approach: some methodological suggestions. Politeia 12:37–53.Google Scholar
  29. Chiappero-Martinetti E (2005) Complexity and vagueness in the capability approach: strengths or weaknesses? In: Comim F, Qizilbash M, Alkire S (eds) The capability approach in human development: concepts, applications and measurement. Cambridge University Press, Cambridge: forthcomingGoogle Scholar
  30. Clark S, Hemming R, Ulph D (1981) On indices for the measurement of poverty Economic Journal 91:515–526.CrossRefGoogle Scholar
  31. Dagum C, Gambassi R, Lemmi A (1992) New approaches to the measurement of poverty. In: Polish Statistical Association and Central Statistical Office (ed) Poverty measurement for economies in transition. Warsaw, pp 201–226.Google Scholar
  32. Dasgupta P, Sen AK, Starett D (1973) Notes on the measurement of inequality. Journal of Economic Theory 6:180–187.CrossRefMathSciNetGoogle Scholar
  33. Donaldson D, Weymark JA (1986) Properties of fixed-population poverty indices. International Economic Review 27:667–688.zbMATHCrossRefGoogle Scholar
  34. Dubois D, Prade H (1980) Fuzzy sets and systems. Academic Press, LondonzbMATHGoogle Scholar
  35. Foster JE (1984) On economic poverty measures: a survey of aggregate measures. In: Basmann RL, Rhodes GF (eds) Advances in Econometrics, Vol.3. JAI Press, ConnecticutGoogle Scholar
  36. Foster JE, Greer J, Thorbecke E (1984) A class of decomposable poverty measures. Econometrica 42:761–766.CrossRefGoogle Scholar
  37. Foster JE, Shorrocks AF (1991) Subgroup consistent poverty indices. Econometrica 59:687–709.zbMATHCrossRefMathSciNetGoogle Scholar
  38. Haagenars AJM (1987) A class of poverty measures. International Economic Review 28:593–607.CrossRefGoogle Scholar
  39. Kakwani NC (1980a) Income inequality and poverty: methods of estimation and policy applications. Oxford University Press, OxfordGoogle Scholar
  40. Kakwani NC (1980b) On a class of poverty measures. Econometrica 48:437–446.zbMATHCrossRefMathSciNetGoogle Scholar
  41. Kolm SC (1969) The optimal production of social justice. In: Margolis J, Guitton H (eds) Public economics. Macmillan, London, pp 145–200.Google Scholar
  42. Kolm SC (1977) Multidimensional egalitarianism. Quarterly Journal of Economics 91:1–13.zbMATHCrossRefGoogle Scholar
  43. Kundu A, Smith TE (1983) An impossibility theorem on poverty indices. International Economic Review 24:423–434.zbMATHCrossRefMathSciNetGoogle Scholar
  44. Lipton M, Ravallion M (1995) Poverty and policy. In: Behrman J, Srinivasan TN (eds) Handbook of development economics, Vol. 1. North Holland, AmsterdamGoogle Scholar
  45. Marshall AW, Olkin I (1979) Inequalities: theory of majorization and its applications. Academic Press, LondonzbMATHGoogle Scholar
  46. Ok E (1995) Fuzzy measurement of income inequality: a class of fuzzy inequality measures. Social Choice and Welfare 12:115–136.CrossRefMathSciNetGoogle Scholar
  47. Osmani S (1992) Introduction. In: Osmani SR (ed) Nutrition and poverty. Oxford University Press, OxfordGoogle Scholar
  48. Pannuzi N, Quaranta AG (1995) Measuring poverty: a study case in an Italian industrial city. In: Dagum C, Lemmi A (eds) Income Distribution, Social Welfare, Inequality and Poverty, Volume 6 of Slottje DJ (ed) Research on Economic Inequality, JAI Press Inc., London, pp 323–336.Google Scholar
  49. Qizilbash M (2002) A note on the measurement of poverty and vulnerability in the South African context. Journal of International Development 14:757–772.CrossRefGoogle Scholar
  50. Ravallion M (1996) Issues in measuring and modeling poverty. Economic Journal 106:1328–1343.CrossRefGoogle Scholar
  51. Seidl C (1988) Poverty measurement: a survey. In: Bos D, Rose M, Seidl C (eds) Welfare efficiency in public economics. Springer-Verlag, New YorkGoogle Scholar
  52. Sen AK (1976) Poverty: on ordinal approach to measurement. Econometrica 44:219–231.zbMATHCrossRefMathSciNetGoogle Scholar
  53. Sen AK (1979) Issues in the measurement of poverty. Scandinavian Journal of Economics 81:285–307.CrossRefGoogle Scholar
  54. Sen AK (1981) Poverty and famines. Clarendon Press, OxfordGoogle Scholar
  55. Sen AK (1985) Commodities and capabilities. North Holland, AmsterdamGoogle Scholar
  56. Sen AK (1987) Standard of living. Cambridge University Press, CambridgeGoogle Scholar
  57. Sen AK (1992) Inequality re-examined. Harvard University Press, Cambridge, MAGoogle Scholar
  58. Sen AK (1997) On economic inequality, with a substantial annexe by Foster JE. Oxford University Press, OxfordGoogle Scholar
  59. Shorrocks AF (1995) Revisiting the Sen poverty index. Econometrica 63:1225–1230.zbMATHCrossRefGoogle Scholar
  60. Shorrocks AF, Subramanian S (1994) Fuzzy poverty indices. University of EssexGoogle Scholar
  61. Streeten P (1981) First things first: meeting basic human needs in developing countries. Oxford University Press, OxfordGoogle Scholar
  62. Subramanian S (2002) Counting the poor: an elementary difficulty in the measurement of poverty. Economics and Philosophy 18:277–285.CrossRefMathSciNetGoogle Scholar
  63. Takayama N (1979) Poverty income inequality and their measures: Professor Sen’s axiomatic approach reconsidered. Econometrica 47:749–759.CrossRefMathSciNetGoogle Scholar
  64. Thon D (1983) A poverty measure. Indian Economic Journal 30:55–70.Google Scholar
  65. Tsui KY (2002) Multidimensional poverty indices. Social Choice and Welfare 19:69–93.zbMATHCrossRefMathSciNetGoogle Scholar
  66. UNDP (1997) Human development report. Oxford University Press, OxfordGoogle Scholar
  67. Watts H (1968) An economic definition of poverty. In: Moynihan DP (ed) On understanding poverty. Basic Books, New YorkGoogle Scholar
  68. Zadeh L (1965) Fuzzy sets. Information and Control 8:338–353.zbMATHCrossRefMathSciNetGoogle Scholar
  69. Zheng 13 (1997) Aggregate poverty measures. Journal of Economic Surveys 11:123–162.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  • Satya R. Chakravarty
    • 1
  1. 1.Indian Statistical InstituteIndia

Personalised recommendations