Skip to main content

Capability Approach and Fuzzy Set Theory: Description, Aggregation and Inference Issues

  • Chapter

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

Conclusion

The aim of this Chapter has been to show in what sense fuzzy set theory can be useful in operationalizing multidimensional well-being analysis based on the capability approach. With their capacity to make formal logic and verbal formulations much closer to one another, and to establish close connections between theory and data analysis, fuzzy methodologies seem to be a useful and flexible tool for operationalizing the capability approach while preserving its richness and complexity.

The Chapter has discussed the three main phases of operationalization description, aggregation and inference - while seeking to underline the main conceptual and methodological issues that could arise from a capability perspective. What is worth emphasizing is that the application of fuzzy sets methodology does not represent a sort of mechanical exercise or standard algorithm, but requires a fundamental interpretative effort for each step, with the aim of establishing a close link between the contents of the theoretical concepts under examination and their representation through fuzzy set theory.

In order to take full advantage of fuzzy methodologies in the operationalization of the capability approach, many other aspects remain to be investigated - e.g. comparing different methods for constructing membership functions, testing different classes of fuzzy operators, making use of fuzzy inference systems for estimating capabilities instead of achieved functionings, and so forth. However, the affinity between fuzzy methodologies and the capability approach seems to be a very promising one.

Keywords

  • Membership Function
  • Fuzzy Inference System
  • Membership Degree
  • Capability Approach
  • Fuzzy Operator

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-0-387-34251-1_6
  • Chapter length: 21 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   139.00
Price excludes VAT (USA)
  • ISBN: 978-0-387-34251-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   179.99
Price excludes VAT (USA)
Hardcover Book
USD   179.99
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Alkire S (2002) Valuing freedoms. Sen’s capability approach and poverty reduction. Oxford University Press, New York

    Google Scholar 

  • Baliamoune MN (2004) On the measurement of human well-being: fuzzy set theory and Sen’s capability approach. Research paper 2004/16, Wider, Helsinki

    Google Scholar 

  • Cheli B, Lemmi A (1995) Totally fuzzy and relative approach to the multidimensional analysis of poverty. Economic Notes 24:115–134.

    Google Scholar 

  • 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 7-9:367–388.

    Google Scholar 

  • Chiappero-Martinetti E (1996) Standard of living evaluation based on Sen’s approach: some methodological suggestion. In: Balestrino A, Carter I (eds) Functionings and capabilities: normative and policy issues. Notizie di Politeia, Milan, pp 37–54.

    Google Scholar 

  • Chiappero-Martinetti E (2000) A multidimensional assessment of well-being based on Sen’s functioning approach. Rivista Internazionale di Scienze Sociali 108:207–239.

    Google Scholar 

  • Chiappero-Martinetti E (2005) Complexity and vagueness in the capability approach: strengths or weaknesses? In: Comim F, Qizilbash M, Alkire S (eds) Justice and poverty: essays on operationalizing Amartya Sen’s capability approach. Cambridge University Press, Cambridge: forthcoming

    Google Scholar 

  • Clark D, Qizilbash M (2002) Core poverty and extreme vulnerability in South Africa. The Economics Research Centre, School of Economic and Social Studies, University of East Anglia, Discussion Paper 2002/3

    Google Scholar 

  • Cox E (1994) The fuzzy systems handbook. Academic Press

    Google Scholar 

  • Chestelnut Hill, MaDubois D, Prade H (1985) A review of fuzzy set aggregation connectives. Information Sciences 36:85–121.

    CrossRef  MathSciNet  Google Scholar 

  • Giles R (1976) Lukasiewicz logic and fuzzy theory. Intern J Man-Mach Stud 8:313–327.

    MATH  MathSciNet  Google Scholar 

  • Klir G J, Yuan B (1995) Fuzzy sets and fuzzy logic: theory and applications. Prentice Hall, New Jersey

    MATH  Google Scholar 

  • Kuklys W (2005) Amartya Sen’s Capability Approach. Theoretical Insights and Empirical Applications. Springer, Berlin

    Google Scholar 

  • Lelli S (2001) Factor Analysis vs. Fuzzy Sets Theory: Assessing the Influence of Different Techniques on Sen’s Functioning Approach. Discussion Paper Series DPS 01.21, November 2001, Center for Economic Studies, Catholic University of Louvain

    Google Scholar 

  • Mamdani EH, Assilian S (1975) An experiment in linguistic synthesis with a fuzzy logic controller. International Journal Man-Machine Studies 7:1–13.

    MATH  CrossRef  Google Scholar 

  • Nussbaum M (2003) Capabilities as fundamental entitlements: Sen and Social Justice. Feminist Economics 9:33–59.

    CrossRef  Google Scholar 

  • Ragin CC (2000) Fuzzy set social science. The University of Chicago Press, Chicago

    Google Scholar 

  • Robeyns I (2003) Sen’s capability approach and gender inequality: selecting relevant capabilities. Feminist Economics 9:61–92.

    CrossRef  Google Scholar 

  • Robeyns I (2005) The capability approach: a theoretical survey. Journal of Human Development 6:93–114.

    CrossRef  Google Scholar 

  • Sen AK (1985) Commodities and capabilities. North Holland, Amsterdam

    Google Scholar 

  • Sen AK (1992) Inequality reexamined. Clarendon Press, Oxford

    Google Scholar 

  • Sen AK (2004) Capabilities, lists, and public reason: continuing the conversation. Feminist Economics 10:77–80.

    CrossRef  Google Scholar 

  • Yager RR (1980) On a general class of fuzzy connectives. Fuzzy Set and Systems, 4:235–242.

    MATH  CrossRef  MathSciNet  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Information and Control 8:338–353.

    MATH  CrossRef  MathSciNet  Google Scholar 

  • Zimmermann HJ (1990) Fuzzy set theory and its applications. Kluwer Academic Publishers, Boston

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2006 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Martinetti, E.C. (2006). Capability Approach and Fuzzy Set Theory: Description, Aggregation and Inference Issues. In: Lemmi, A., Betti, G. (eds) Fuzzy Set Approach to Multidimensional Poverty Measurement. Economic Studies in Inequality, Social Exclusion and Well-Being, vol 3. Springer, Boston, MA . https://doi.org/10.1007/978-0-387-34251-1_6

Download citation