Similarities in Fuzzy Regression Models |
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Authors: | B K Papadopoulos M A Sirpi |
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Affiliation: | (1) Department of Civil Engineering, Democritous University of Thrace, Xanthi, Greece;(2) Department of Applied Informatics, University of Macedonia, Thessaloniki, Greece |
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Abstract: | The solutions of a fuzzy regression model are obtained by converting the problem into a linear programming problem. For each level h, h0, 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. |
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Keywords: | Fuzzy regression analysis metric spaces similarities |
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