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Approximate solutions of systems of fuzzy relation equations

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2 Author(s)
G. J. Klir ; Dept. of Syst. Sci., State Univ. of New York, Binghamton, NY, USA ; Bo Yuan

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)

Published in:

Fuzzy Systems, 1994. IEEE World Congress on Computational Intelligence., Proceedings of the Third IEEE Conference on

Date of Conference:

26-29 Jun 1994