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Similarities in Fuzzy Regression Models
Authors:B K Papadopoulos  M A Sirpi
Affiliation:(1) Department of Civil Engineering, Democritous University of Thrace, Xanthi, Greece;(2) Department of Applied Informatics, University of Macedonia, Thessaloniki, Greece
Abstract:The solutions of a fuzzy regression model are obtained by converting the problem into a linear programming problem. For each level h, hisin0, 1), there exists a solution. In this paper, we study the set of all the solutions to the fuzzy regression model that comes from a set of data as a metric space with an appropriate metric on it. We define a similarity ratio that allows us to compare the spaces of solutions of a fuzzy regression model that come from different sets of data. We also give an application using data sets concerning the GNP–money relationship.
Keywords:Fuzzy regression analysis  metric spaces  similarities
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