Similarities in Fuzzy Regression Models

B. K. Papadopoulos and M. A. Sirpi
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B. K. Papadopoulos: Democritous University of Thrace
M. A. Sirpi: University of Macedonia

Journal of Optimization Theory and Applications, 1999, vol. 102, issue 2, No 9, 373-383

Abstract: Abstract The solutions of a fuzzy regression model are obtained by converting the problem into a linear programming problem. For each level h, h∈[0, 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 (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (4)

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DOI: 10.1023/A:1021784524897

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