Title :
Solution of fuzzy relation equations using the rule of exclusion
Author :
Miyagi, H. ; Noborikawa, M. ; Fukumura, H. ; Yamashita, K.
Author_Institution :
Fac. of Eng., Ryukyus Univ., Okinawa, Japan
Abstract :
In this paper, an effective technique for solving fuzzy relation equation R*a=b (* is a certain operation), where R and b are known and a is unknown, is proposed. The proposed method can lead to all solutions a by simple logical operations, utilizing auxiliary matrices. Furthermore, a useful rule that can exclude the redundant fuzzy sets in advance is introduced
Keywords :
fuzzy set theory; fuzzy systems; matrix algebra; minimax techniques; auxiliary matrix; composite fuzzy relation equations; criterion matrix; exclusion rule; fuzzy set theory; fuzzy systems; Control systems; Equations; Fuzzy control; Fuzzy sets; Fuzzy systems; Inverse problems;
Conference_Titel :
Systems, Man, and Cybernetics, 1996., IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-3280-6
DOI :
10.1109/ICSMC.1996.561325
