Abstract
The common classification techniques are designed for a rigid (even if probabilistic) allocation of each unit into one of several groups. Nevertheless the dissimilarity among combined units often leads to consider the opportunity of assigning each of them to more than a single group with different degrees of membership. The same logic can be applied in attributing a new observation to previously identified fuzzy groups. This paper precisely presents a proposal for a discriminant analysis, structured by regressing the degrees of membership to every groups of each unit on the same variables used in a preliminary clustering. Such a proposal, initially conceived to assign new customers to defined groups for Customer Relationship Management (CRM) purposes, is now tested in an applicative case concerning the entrepreneurial propensity of the sampled provinces of Central and Southern Italy, in which an iterative fuzzy k-means method is preliminary used to split them into an optimal number of homogeneous groups.
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References
Campobasso, F., Montrone, S., Perchinunno, P., Fanizzi, A.: A Fuzzy Approach to the Small Area Estimation of Poverty in Italy. In: Phillips-wren, G., Nakamatsu, K., Jain, L.C., Howlett, R.J. (eds.) Advances in Intelligent Decision Technologies. SIST, vol. 4, pp. 309–318. Springer, Heidelberg (2010)
Campobasso, F., Fanizzi, A., Perchinunno, P.: Homogenous urban poverty clusters within the city of Bari. In: Gervasi, O., Murgante, B., Laganà, A., Taniar, D., Mun, Y., Gavrilova, M.L. (eds.) ICCSA 2008, Part I. LNCS, vol. 5072, pp. 232–244. Springer, Heidelberg (2008)
UnionCamera, Italain atlas of the competitiveness of provinces and regions, http://www.unioncamere.gov.it/Atlante/
National Institute for Foreign Trade, Italy in the International Economy - Summary Report for 2008-2009, http://www.slideshare.net/Maryss82/situazione-di-internazionalizzazione-italia-2009-ice
Campobasso, F., Fanizzi, A.: A fuzzy approach to Ward’s method of classification: an application case to the Italian university system. In: Montrone, S., Perchinunno, P. (eds.) Statistical Methods for Spatial Planning and Monitoring, pp. 31–46. Springer, Heidelberg (2013)
Kaufman, L., Rousseau, P.J.: Finding Groups in Data - An Introduction to Cluster Analysis. John Wiley and Sons, New York (1990)
Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum, New York (1981)
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Campobasso, F., Fanizzi, A. (2013). A Proposal for a Discriminant Analysis Based on the Results of a Preliminary Fuzzy Clustering. In: Murgante, B., et al. Computational Science and Its Applications – ICCSA 2013. ICCSA 2013. Lecture Notes in Computer Science, vol 7974. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39649-6_32
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DOI: https://doi.org/10.1007/978-3-642-39649-6_32
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