Title :
Approximate Solution of Fuzzy Sylvester Matrix Equations
Author_Institution :
Coll. of Math. & Inf. Sci, Northwest Normal Univ., Lanzhou, China
Abstract :
In paper the fuzzy matrix equation AX̃+X̃B=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 approximate solution of the original fuzzy systems is derived from solving the crisp function linear equations. An example is given to illustrate the proposed method finally.
Keywords :
fuzzy set theory; matrix algebra; crisp function linear equations; fuzzy Sylvester matrix equations; fuzzy approximate solution; fuzzy linear system; linear equation crisp system; Equations; Fuzzy sets; Fuzzy systems; Linear systems; Mathematical model; Matrix converters; Vectors; fuzzy approximate solutions; fuzzy matrix equations; fuzzy numbers; matrix analysis;
Conference_Titel :
Computational Intelligence and Security (CIS), 2011 Seventh International Conference on
Conference_Location :
Hainan
Print_ISBN :
978-1-4577-2008-6
DOI :
10.1109/CIS.2011.20
