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CPS2192 Laurent D. et al.
5. Conclusion
We have shown how individual and global assessments can be produced.
Such results has to be completed by inferences. Thanks to the crisp
distribution of the output, we are able to perform simple T-tests. Furthermore,
we describe a simple procedure to effectuate fuzzy ANOVA. These two
theoretical results have been successfully applied on data concerning the
measure of poverty in Switzerland.
APPENDIX
Figures
Figure 1: Individual Assessments (Attribute: Financial situation (FINANCE)
Tables
Variables Description
FINANCE Crisp financial situation (On a scale of 0 to 10; 0: very bad; 10:
very good)
DEPRIVATION Material deprivation depending on a financial situation
(0,1,...,5; 5: all five types of deprivation occured; 0: no
deprivation)
SATISFACTION Satisfaction concerning the financial situation of the houshold
(0 to 10 on a Likert scale; 0: unsatisfied; 10: entirely satisfied)
FOREIGN Nationality (Swiss, Foreigner)
Table 1: Variables
DEPRIVATION SATISFACTION
Values µ X Values µ X ˜ Values µ X
˜
˜
0 (-1,0,1) 0 (-1,0,1) 6 (5,6,7)
1 (0,1,2) 1 (0,1,2) 7 (6,7,8)
2 (1,2,3) 2 (1,2,3) 8 (7,8,9)
3 (2,3,4) 3 (2,3,4) 9 (8,9,10)
4 (3,4,5) 4 (3,4,5) 10 (9,10,11)
5 (4,5,6)
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