Title :
A new kind of fuzzy relation equations
Author :
Qin, Feng ; Fang, Ping
Author_Institution :
Coll. of Math. & Inf. Sci., Jiangxi Normal Univ., Nanchang, China
Abstract :
In this paper, a new kind of fuzzy relation equations (FREs for short) A0 R * x = b is first introduced, and then the problem of solving solution to the FREs is discussed, where A is an mtimesn matrix, x and b are an n and an m dimension column vectors, respectively. More specifically, its solvability and unique solvability are investigated, the corresponding necessary and sufficient conditions are presented, the complete solution set is obtained. It is worth noting the method to construct the complete solutions set.
Keywords :
fuzzy set theory; matrix algebra; fuzzy relation equations; solvability; sufficient conditions; Deconvolution; Educational institutions; Equations; Expert systems; Fuzzy logic; Fuzzy sets; Fuzzy systems; Neural networks; Signal processing; Sufficient conditions;
Conference_Titel :
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
Conference_Location :
Jeju Island
Print_ISBN :
978-1-4244-3596-8
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2009.5277164
