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The transitive closure of fuzzy relations with a contraction property. (English)
Bull. Inf. Cybern. 27, No.1, 121-128 (1995).
Summary: This paper analyses transitive closures of fuzzy relations on a compact metric space with a contraction property [{\it M. Kurano}, {\it M. Yasuda}, {\it J. Nakagami} and {\it Y. Yoshida}, Fuzzy Sets Syst. 51, No. 1, 83-88 (1992; Zbl 0796.93076)]. We show that the transitive closure is a unique solution of a fuzzy relational equation and also has the same contraction property.