Title :
Fuzzy Minimal Solution of Fuzzy Linear Matrix Equations
Author_Institution :
Coll. of Math. & Inf. Sci., Northwest Normal Univ., Lanzhou, China
Abstract :
In paper the fuzzy matrix equation AX̃B=C̃ is investigated. The fuzzy matrix equation is converted to a fuzzy linear system. Then the fuzzy linear system is extended into a crisp system of linear equations. The fuzzy minimal solution of the original fuzzy systems is obtained by solving the crisp function linear equations. Finally, an example is given to illustrate the proposed method.
Keywords :
fuzzy set theory; fuzzy systems; linear matrix inequalities; linear systems; crisp function linear equation; fuzzy linear matrix equation; fuzzy linear system; fuzzy minimal solution; Equations; Fuzzy systems; Linear systems; Mathematical model; Matrix converters; Vectors; fuzzy matrix equations; fuzzy minimal solution; fuzzy numbers; matrix analysis;
Conference_Titel :
Information Technology, Computer Engineering and Management Sciences (ICM), 2011 International Conference on
Conference_Location :
Nanjing, Jiangsu
Print_ISBN :
978-1-4577-1419-1
DOI :
10.1109/ICM.2011.110
