TY  - EJOU
AU  - Gasilov, Nizami 
AU  - Amrahov, Sahin Emrah 
AU  - Karaka¸s, Halil Ibrahim 
AU  - Akın, Ömer 

TI  - Application of Geometric Approach for Fuzzy Linear Systems to a Fuzzy Input-Output Analysis
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2012
VL  - 88
IS  - 2
SN  - 1526-1506

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

DO  - 10.3970/cmes.2012.088.093