Title :
Approximate solutions of systems of fuzzy relation equations
Author :
Klir, George J. ; Yuan, Bo
Author_Institution :
Dept. of Syst. Sci., State Univ. of New York, Binghamton, NY, USA
Abstract :
We generalize our previous results regarding approximate solutions of fuzzy relation equations (Yuan and Klir, 1993) to systems of fuzzy relation equations. By employing the equality index proposed by Gottwald (1985), we introduce a goodness measure of the performance of approximate solutions and derive a lower bound and an upper bound of solvability of systems of fuzzy relation equations. We also show that our results generalize those presented for one-dimensional fuzzy relation equations (Nola et al., 1989)
Keywords :
computability; decidability; fuzzy set theory; approximate solutions; equality index; fuzzy relation equations; goodness measure; lower bound; one-dimensional fuzzy relation equations; performance; system solvability; upper bound; Equations; Fuzzy control; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Knowledge engineering; Medical diagnosis; Newton method; System identification; Upper bound;
Conference_Titel :
Fuzzy Systems, 1994. IEEE World Congress on Computational Intelligence., Proceedings of the Third IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-1896-X
DOI :
10.1109/FUZZY.1994.343604
