A new kind of fuzzy relation equations

Authors:
Feng Qin;Ping Fang
Affiliations:
College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, P. R. China;College of Sciences, South China Agricultural University, Guangzhou, P. R. China
Venue:
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Year:
2009

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Abstract

In this paper, a new kind of fuzzy relation equations (FREs for short) A oR* x = b is first introduced, and then the problem of solving solution to the FREs is discussed, where A is an m × n 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.