The nearest symmetric fuzzy solution for a symmetric fuzzy linear system

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Haghi E.¹  Allahviranloo T.¹  Ghanbari M.¹ 

[1] Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran;

关键词: symmetric l - l fuzzy number;    symmetric l - l fuzzy linear system;    nonlinear programming problem;    modified euclidean distance;   

DOI  :  10.2478/v10309-012-0011-x

来源: DOAJ

【 摘 要 】

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

【 授权许可】

Unknown