Title :
Undetermined coefficients method for solving semi-fuzzy matrix equations
Author :
Guo, Xiao-bin ; Gong, Zeng-tai
Author_Institution :
Coll. of Math. & Inf. Sci., Northwest Normal Univ., Lanzhou, China
Abstract :
In this paper, a class of semi-fuzzy matrix equation Ax = B is investigated. The original fuzzy matrix equation is extended into a crisp matrix equation SX =Y(r) and the solvability of the crisp matrix equation is also discussed. Then the undetermined coefficients method for solving the crisp matrix equation is designed in detail. Finally, an example is given to illustrate the proposed method.
Keywords :
computability; fuzzy set theory; matrix algebra; crisp matrix equation; semifuzzy matrix equation; solvability; undetermined coefficients method; Cybernetics; Equations; Fuzzy sets; Linear systems; Machine learning; Mathematical model; Matrix converters; Fuzzy matrix equations; Fuzzy numbers; Matrix analysis; Undetermined coefficients method;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-4244-6526-2
DOI :
10.1109/ICMLC.2010.5580544
