Solving Leontief Input-Output Model with Trapezoidal Fuzzy Numbers and Gauss-Seidel Algorithm


Autoria(s): Panchal, Charmi
Data(s)

16/05/2011

16/05/2011

2011

Resumo

In this work a fuzzy linear system is used to solve Leontief input-output model with fuzzy entries. For solving this model, we assume that the consumption matrix from di erent sectors of the economy and demand are known. These assumptions heavily depend on the information obtained from the industries. Hence uncertainties are involved in this information. The aim of this work is to model these uncertainties and to address them by fuzzy entries such as fuzzy numbers and LR-type fuzzy numbers (triangular and trapezoidal). Fuzzy linear system has been developed using fuzzy data and it is solved using Gauss-Seidel algorithm. Numerical examples show the e ciency of this algorithm. The famous example from Prof. Leontief, where he solved the production levels for U.S. economy in 1958, is also further analyzed.

Identificador

http://www.doria.fi/handle/10024/69613

URN:NBN:fi-fe201105051511

Idioma(s)

en

Palavras-Chave #Fuzzy numbers #Leontief Input-Output model #Gauss-Seidel algorithm #fuzzy linear system
Tipo

Master's thesis

Diplomityö