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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
Baskent University, Ankara, Turkey
Ankara University, Computer Engineering Department, Ankara, Turkey
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.

Keywords

Fuzzy linear systems, fuzzy sets, input-output analysis, technology matrix, Leontief model.

Cite This Article

Gasilov, N., Amrahov, S. E., Karaka¸s, H. I., Akın, . (2012). Application of Geometric Approach for Fuzzy Linear Systems to a Fuzzy Input-Output Analysis. CMES-Computer Modeling in Engineering & Sciences, 88(2), 93–106.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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