The solution of fuzzy linear systems by non-linear programming: a financial application

The solution of fuzzy linear systems by non-linear programming: a financial application

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Article ID: iaor20084653
Country: Netherlands
Volume: 177
Issue: 2
Start Page Number: 1218
End Page Number: 1231
Publication Date: Mar 2007
Journal: European Journal of Operational Research
Authors: ,
Keywords: programming: nonlinear
Abstract:

Fuzzy linear systems of equations play a major role in various financial applications. In this paper we analyse a particular fuzzy linear system: the derivation of the risk neutral probabilities in a fuzzy binary tree. This system has previously been investigated and different solutions to different forms of the same system have been proposed. The aim of this paper is twofold. First, we highlight that the different solutions proposed, arise from different forms of the same system. Second, in order to find a unique vector solution for the system, we propose a practical algorithm that boils down to the solution of a non-linear optimization problem.

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