Fully fuzzy Linear system
by
Soheil Salahshour
Department of Mathemetics, Science and Research Branch, Tehran, Iran
Coauthors: Tofigh Allahviranloo

Several problems in various areas such as economics, finance, engineering and physics boil down to the solution of a fully fuzzy linear system. In this paper, we proposed a new method to obtain a symmetric solution of fully fuzzy liner system, which is called FFLS. To this end, we resolve 1-cut of FFLS, then some unknown symmetric spreads are allocated to each rows of 1-cut of FFLS. So, after some manipulations, original FFLS is transformed to solving 2n linear equations to find the symmetric spreads. However, our method always give us a fuzzy number vector solution. In addition, we have new point of view to solutions of FFLS such that, it is tried to introduced an approach to interference the decision maker, while they could select the fuzzy symmetric solution of FFLS which is placed in the Tolerable Solution Set(TSS) or Controllable Solution Set(CSS). Finally, some numerical example is given to compare our proposed method with the others.

Date received: January 18, 2010