Title of article :
FUZZY INCLUSION LINEAR SYSTEMS
Author/Authors :
Ghanbari, Mojtaba Department of Mathematics - Aliabad Katoul Branch - Islamic Azad University, Aliabad Katoul, Iran
Abstract :
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.
Keywords :
Fuzzy linear system , Fuzzy inclusion linear system , Fuzzy solution set , Lower $r$-boundary , Upper $r$-boundary
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
