Abstract
In decision making problems, the estimate of the parameters defining the model is a difficult task. They are usually defined by the Decision Maker in an uncertain way or by means of language statements. Therefore, it is suitable to represent those parameters by fuzzy numbers, defined by their possibility distribution.
The fuzziness and/or inaccuracy of the parameters give rise to a problem whose solution will also be fuzzy as we saw in [1] and is defined by its possibility distribution, being the component of the same a fuzzy number.
In this paper we aim to find a decision vector which approximates as much as possible the fuzzy goals to the fuzzy solutions previously obtained. In order to solve this problem, we shall define an Interval Goal Programming Problem. Our proposal will be illustrated by an example.
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References
Arenas Parra, M.; Bilbao Terol, A.; Jiménez, M.; Rodrí guez Uría M.V., “A Fuzzy Approach to a Fuzzy Linear Goal Programming Problem”. Lectures Notes in Economics and Mathematical Systems 448: Multiple Criteria Decision Making, pp: 255–264. Springer, 1997.
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Jiménez M. (1994): Modelos matemáticos aplicados a la toma de decisiones financieras en condiciones de incertidumbre. Tesis Doctoral, Universidad del País Vasco, Bilbao.
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© 1998 Springer-Verlag Berlin Heidelberg
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Arenas, M., Bilbao, A., Rodríguez, M.V., Jiménez, M. (1998). Fuzzy Parameters Multiobjective Linear Programming Problem: Solution Analysis. In: Stewart, T.J., van den Honert, R.C. (eds) Trends in Multicriteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 465. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45772-2_11
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DOI: https://doi.org/10.1007/978-3-642-45772-2_11
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