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This sample meeting in Siena discusses the integrated fuzzy approach for comparing multidimensional poverty between Italian and Polish regions. The study reconsidered the membership function definition based on monetary variables proposed by Cheli and Lemmi (1995) and Betti and Verma (1999). The meeting also explored the relationship between poverty, inequality, and fuzzy monetary measures, along with the definition of membership functions based on monetary variables. The Polish group presented additional indexes of incidence and depth connected with the concept of poverty gap.
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Sample Meeting, Siena – Ottobre 2010 Multidimensional poverty comparisons between the Italian and the Polish reagions an integrated fuzzy approach Achille Lemmi, Tomasz Panek University of Siena – Italy Warsaw School of Economics - Poland
Sample Meeting, Siena – Ottobre 2010 Reconsider the definition of the membership Function based on monetary variables Cheli and Lemmi (1995) Betti and Verma (1999)
Sample Meeting, Siena – Ottobre 2010 Membership functions used by Cheli and Lemmi (1995), and Betti and Verma (1999)
Sample Meeting, Siena – Ottobre 2010 Definition of the membership functionbased on monetary variables Betti, Cheli Lemmi and Verma (2005, 2006) Where parameter is chosen so that the mean of the m.f. is equal to head count ratio H:
Sample Meeting, Siena – Ottobre 2010 Poverty and inequality Notice that the Fuzzy Monetary (FM) measure as defined above is expressible in terms of the generalised Gini measures. This family of measures (often referred to as "s-Gini") is a generalisation of the standard Gini coefficient, the latter corresponding to G with =1. It is defined (in the continuous case) as: Betti, Cheli Lemmi and Verma (2006) define it as “Integrated Fuzzy and Relative” (IFR)
Sample Meeting, Siena – Ottobre 2010 Monetary and Supplementary Fuzzy Indexes of incidence and depth The Polish group coordinated by Prof. Panek has defined further indexes of incidence and depth both connected with the concept of poverty gap.