Open Access

ARTICLE

Application of Geometric Approach for Fuzzy Linear Systems to a Fuzzy Input-Output Analysis

Nizami Gasilov¹, Sahin Emrah Amrahov² , Afet Golayoglu Fatullayev ˇ ¹, Halil Ibrahim Karaka¸s¹, Ömer Akın³

1 Baskent University, Ankara, Turkey
2 Ankara University, Computer Engineering Department, Ankara, Turkey
3 TOBB ETU, Ankara, Turkey

Computer Modeling in Engineering & Sciences 2012, 88(2), 93-106. https://doi.org/10.3970/cmes.2012.088.093

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.

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Keywords

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