Resolution of finite fuzzy relation equations (Q801905)

The authors study general schemes for solving finite fuzzy relation equations whose membership functions assume values in [0,1]. The algorithms presented determine the maximum solution of \textit{E. Sanchez} [Inf. Control 30, 38-48 (1976; Zbl 0326.02048)] and the minimal solutions. An extensive comparison between the results of this paper and those of \textit{M. Prévot} [Fuzzy Sets Syst. 5, 319-322 (1981; Zbl 0451.04004)] and of \textit{E. Czogala}, \textit{J. Drewniak} and \textit{W. Predrycz} [Fuzzy Sets Syst. 7, 89-101 (1982; Zbl 0483.04001)] is discussed. A suitable numerical example showing how the different schemes work is also given.