Title :
Fuzzy minimal solution of positive fully fuzzy matrix equations
Author :
Shang, De-quan ; Guo, Xiao-bin
Author_Institution :
Dept. of Public Courses, Gansu Coll. of Chinese Med., Lanzhou, China
Abstract :
In this paper, a class of fully fuzzy matrix equation ̃ÃX = ̃B is investigated. The original fuzzy matrix equation is extended into a crisp system of matrix equations according to the arithmetic operation of LR fuzzy numbers. The fuzzy approximate solutions of the positive FFMEs are obtained by solving the system of matrix equations. An example is given to illustrate the efficiency of the proposed method.
Keywords :
fuzzy set theory; matrix algebra; LR fuzzy numbers; arithmetic operation; fuzzy approximate solutions; fuzzy minimal solution; positive FFME; positive fully fuzzy matrix equations; Equations; Ions; Fuzzy approximate solutions; Fuzzy matrix equations; LR fuzzy numbers; Matrix analysis;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2012 International Conference on
Conference_Location :
Xian
Print_ISBN :
978-1-4673-1484-8
DOI :
10.1109/ICMLC.2012.6358907