A Novel Weak Fuzzy Solution for Fuzzy Linear System

A Novel Weak Fuzzy Solution for Fuzzy Linear System

Soheil Salahshour 1, Ali Ahmadian 2, Fudziah Ismail 2 and Dumitru Baleanu 3,4,* 1 Young Researchers and Elite Club, Islamic Azad University, Mobarakeh Branch, Mobarakeh, Iran; [email protected] 2 Department of Mathematics, Faculty of Science, Universti Putra Malaysia, 43400 Selangor, Malaysia; [email protected] (A.A.); [email protected] (F.I.) 3 Department of Mathematics and...

A method for solving fully fuzzy linear system

In this paper, a numerical method for nding minimal solution of a mn fullyfuzzy linear system of the form Ax = b based on pseudo inverse calculation,is given when the central matrix of coecients is row full rank or column fullrank, and where A~ is a non-negative fuzzy mn matrix, the unknown vectorx is a vector consisting of n non-negative fuzzy numbers and the constant b isa vector consisting o...

A New Method for Solving Fuzzy Linear System

A method for solving fully fuzzy linear system with trapezoidal fuzzy numbers

Different methods have been proposed for finding the non-negative solution of fully fuzzy linear system (FFLS) i.e. fuzzy linear system with fuzzy coefficients involving fuzzy variables. To the best of our knowledge, there is no method in the literature for finding the non-negative solution of a FFLS without any restriction on the coefficient matrix. In this paper a new computational method is ...

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 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 co...