<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, the nearest symmetric fuzzy solution for a symmetric L-L fuzzy linear system (S-L-FLS) is obtained by a new metric. To this end, the S-L-FLS is transformed to the non-linear programming problem (NLP). The solution of the obtained NLP is our favorite fuzzy number vector solution. Also, it is shown that if an S-L-FLS has unique fuzzy solution, then its solution is symmetric. Two constructive algorithms are presented in details and the method is illustrated by solving several numerical examples</p></abstract>

In this paper, the nearest symmetric fuzzy solution for a symmetric L-L fuzzy linear system (S-L-FLS) is obtained by a new metric. To this end, the S-L-FLS is transformed to the non-linear programming problem (NLP). The solution of the obtained NLP is our favorite fuzzy number vector solution. Also, it is shown that if an S-L-FLS has unique fuzzy solution, then its solution is symmetric. Two constructive algorithms are presented in details and the method is illustrated by solving several numerical examples

The nearest symmetric fuzzy solution for a symmetric fuzzy linear system

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"The nearest symmetric fuzzy solution for a symmetric fuzzy linear system"}

In this paper, the nearest symmetric fuzzy solution for a symmetric L-L fuzzy linear system (S-L-FLS) is obtained by a new metric. To this end, the S-L-FLS is...

The nearest symmetric fuzzy solution for a symmetric fuzzy linear system

Published Online: May 17, 2013

Page range: 151 - 172

DOI: https://doi.org/10.2478/v10309-012-0011-x

Keywords
Symmetric L - L fuzzy number, Symmetric L - L fuzzy linear system, Nonlinear programming problem, Modified Euclidean distance

This content is open access.

The nearest symmetric fuzzy solution for a symmetric fuzzy linear system

Published Online: May 17, 2013

Page range: 151 - 172

DOI: https://doi.org/10.2478/v10309-012-0011-x

KeywordsSymmetric L - L fuzzy number, Symmetric L - L fuzzy linear system, Nonlinear programming problem, Modified Euclidean distance

This content is open access.

Keywords
Symmetric L - L fuzzy number, Symmetric L - L fuzzy linear system, Nonlinear programming problem, Modified Euclidean distance