Title of article :
Approximating solution of fully fuzzy linear systems in dual form
Author/Authors :
Salahshour, S. Young Researchers Club - Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran , Homayoun nejad, M. Department of Mathematics - Science and Research Branch, Islamic Azad University, Tehran, Iran
Abstract :
In this paper, we propose a method to obtain fuzzy solutions of duality fully fuzzy linear system (DFFLS) of
the form ~ A ~X
= ~B
~X
+ ~ C; where ~ A; ~B
are fuzzy matrices and ~ C; ~X
are fuzzy number vectors. To this end, we
solve the 1-cut of DFFLS (which is a crisp system here) ,then some unknown spreads are allocated to any row
of a 1-cut of dual fully fuzzy linear system in 1-cut position. Also, by using this method we determine fuzzy
solutions will be placed in the tolerable solution set (TSS) and in the controllable solution set (CSS).
Keywords :
Fuzzy solutions , fully fuzzy linear systems in dual form , Fuzzy number
Journal title :
Astroparticle Physics
