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Title: Application of Geometric Approach for Fuzzy Linear Systems to a Fuzzy Input-Output Analysis
Authors: Gasilov, Nizami
Amrahov, Şahin Emrah
Fatullayev, Afet Golayoğlu
Karakas, Halil İbrahim
Akın, Ömer
Keywords: Fuzzy linear systems
fuzzy sets
input-output analysis
technology matrix
Leontief model
Issue Date: 2012
Publisher: Tech Science Press
Abstract: Uncertainties in some parameters of problems of Leontief input-output analysis lead naturally to fuzzy linear systems. In this work, we consider input-output model, where the technology matrix is crisp and the vector of final outputs is fuzzy. The model is expressed by a fuzzy linear system with crisp matrix and with fuzzy right-hand side vector. We apply a geometric method for solving the system. The method finds the solution in the form of a fuzzy set of vectors. The solution set is shown to be a parallelepiped in coordinate space and is expressed by an explicit formula. The features of the proposed method are illustrated by examples.
ISSN: 1526-1492
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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