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On the global solution of a fuzzy linear system

Fulltext:


Authors:

Tofigh Allahviranloo , Arjan Skuka , Sahar Tahvili

Research group:

Software Testing Laboratory

Publication Type:

Journal article

Venue:

Journal of Fuzzy Set Valued Analysis

DOI:

10.5899/2014/jfsva-00190

Abstract

The global solution of a fuzzy linear system contains the crisp vector solution of a real linear system. So discussion about the global solution of a n × n fuzzy linear system Ax˜ = b˜ with a fuzzy number vector b in the right hand side and crisp a coefficient matrix A is considered. The advantage of the paper is developing a new algorithm to find the solution of such system by considering a global solution based upon the concept of a convex fuzzy numbers. At first the existence and uniqueness of the solution are introduced and then the related theorems and properties about the solution are proved in details. Finally the method is illustrated by solving some numerical examples.

Bibtex

@article{Allahviranloo4141,
author = {Tofigh Allahviranloo and Arjan Skuka and Sahar Tahvili},
title = {On the global solution of a fuzzy linear system},
volume = {14},
pages = {1--8},
month = {March},
year = {2014},
journal = {Journal of Fuzzy Set Valued Analysis},
url = {http://www.es.mdu.se/publications/4141-}
}