TY - JOUR
ID - 3329
TI - FUZZY INCLUSION LINEAR SYSTEMS
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Ghanbari, Mojtaba
AD - Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
Y1 - 2017
PY - 2017
VL - 14
IS - 4
SP - 117
EP - 137
KW - Fuzzy linear system
KW - Fuzzy inclusion linear system
KW - Fuzzy solution set
KW - Lower $r$-boundary
KW - Upper $r$-boundary
DO - 10.22111/ijfs.2017.3329
N2 - 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.
UR - http://ijfs.usb.ac.ir/article_3329.html
L1 - http://ijfs.usb.ac.ir/article_3329_0c798ba6903291db932f68673982de92.pdf
ER -