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Some properties of fuzzy eigen sets. (English) Zbl 0626.15012

Eigen fuzzy sets of fuzzy relations were considered by E. Sanchez [J. Math. Anal. Appl. 81, 399-421 (1981; Zbl 0466.04003)] and by M. Wagenknecht and K. Hartmann (Fuzzy Sets Syst. 20, 55-65 (1986; Zbl 0602.15010)]. This paper brings a description of the eigensolutions family for idempotent, diagonally dominated and transitive matrices over the lattice ([0,1], max, min).
Reviewer: J.Drewniak

MSC:

15B57 Hermitian, skew-Hermitian, and related matrices
15A18 Eigenvalues, singular values, and eigenvectors
03E72 Theory of fuzzy sets, etc.
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