%0 Journal Article
%T FUZZY INCLUSION LINEAR SYSTEMS
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Ghanbari, Mojtaba
%D 2017
%\ 08/30/2017
%V 14
%N 4
%P 117-137
%! FUZZY INCLUSION LINEAR SYSTEMS
%K Fuzzy linear system
%K Fuzzy inclusion linear system
%K Fuzzy solution set
%K Lower $r$-boundary
%K Upper $r$-boundary
%R 10.22111/ijfs.2017.3329
%X In this manuscript, we introduce a new class of fuzzy problems, namely ``fuzzy inclusion linear systems" and propose a fuzzy solution set for it. Then, we present a theoretical discussion about the relationship between the fuzzy solution set of a fuzzy inclusion linear system and the algebraic solution of a fuzzy linear system. New necessary and sufficient conditions are derived for obtaining the unique algebraic solution for a fuzzy linear system. Also, all new concepts are illustrated by numerical examples.
%U http://ijfs.usb.ac.ir/article_3329_0c798ba6903291db932f68673982de92.pdf