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Periodicity of powers of fuzzy matrices (finite fuzzy relations). (English) Zbl 0760.15012
The author examines the semigroup of powers of a finite fuzzy relation [cf. M. G. Thomason, J. Math. Anal. Appl. 57, 476-480 (1977; Zbl 0345.15007)]. He presents estimations and an algorithm for the determination of the index and the period of this semigroup. Further results are given in the author’s paper [An upper bound of indices of finite fuzzy relations, Fuzzy Sets Syst. 49, 317-321 (1992)].

MSC:
15B33 Matrices over special rings (quaternions, finite fields, etc.)
03E72 Theory of fuzzy sets, etc.
15B57 Hermitian, skew-Hermitian, and related matrices
20M14 Commutative semigroups
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