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To what extent fuzzy set theory and structural equation modelling can measure functionings? An application to child well being


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  • Tindara Addabbo


  • Maria Laura Di Tommaso


  • Gisella Facchinetti



This paper explores the possibilities of using fuzzy inference system and structural equation modelling to measure capabilities both at a theoretical and empirical level. Fuzzy set theory has been already used to measure functionings (Chiappero Martinetti 1996, 2000, Lelli 2001) while structural equation modelling has not been used till now (apart from some preliminary results on children well being in India presented by Di Tommaso 2003). In this paper we outline the major advantages and disadvantages of both the approaches both in terms of the statistical assumptions implied and in terms of their ability to measure functionings. Are the statistical assumptions implied by these approaches compatible with the capability approach? What limitations the statistical assumptions impose to the capability approach? In order to assess to what extent these two statistical techniques work, we will apply them to measure child well being with a capabilities approach. The aim is also how to propose a list of capabilities with reference to children well being in Italy. The applied part of the paper will use a data set based on a ISTAT (Italian National Statistical Office) multipurpose survey on family and on children condition in Italy to recover information on children’s education, the sociodemographic structure of their families, child care provided by relatives and parents according to the type of activities in which the children are involved. In the conclusion of the paper, we outline if and to what extent these statistical and fuzzy techniques can be used to measure functionings with special reference to child well being.

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Bibliographic Info

Paper provided by CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY in its series CHILD Working Papers with number wp30_04.

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Length: 29 pages
Date of creation: Sep 2004
Date of revision:
Handle: RePEc:wpc:wplist:wp30_04

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Keywords: equation; modelling; fuzzy; inference;

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  1. Michelle Lalla & Gisella Facchinetti & Giovanni Mastroleo, 2005. "Ordinal scales and fuzzy set systems to measure agreement: An application to the evaluation of teaching activity," Quality & Quantity: International Journal of Methodology, Springer, vol. 38(5), pages 577-601, January.
  2. Carlo Alberto Magni & Giovanni Mastroleo & Marina Vignola & Gisella Facchinetti, 2009. "Strategic options and expert systems: a fruitful marriage," PROYECCIONES FINANCIERAS Y VALORACION 006122, MASTER CONSULTORES.
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Cited by:
  1. Cracolici, M. Francesca & Nijkamp, Peter, 2005. "Attractiveness and Effectiveness of Competing Tourist Areas: A Study on Italian Provinces," Serie Research Memoranda 0009, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  2. Anna Maccagnan, 2011. "Measuring the interaction between parents and children in Italian families: a structural equation approach," Department of Economics 0645, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
  3. Tindara Addabbo & Gisella Facchinetti, 2013. "Fuzzy logic and the capability approach," Center for the Analysis of Public Policies (CAPP) 0106, Universita di Modena e Reggio Emilia, Dipartimento di Economia Politica.
  4. Anna Maccagnan, 2011. "Measuring the interaction between parents and children in Italian families: a structural equation approach," Center for the Analysis of Public Policies (CAPP) 0084, Universita di Modena e Reggio Emilia, Dipartimento di Economia Politica.


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