Zhu, Jisheng; Cheng, Ruzhen Some properties of fuzzy eigen sets. (English) Zbl 0626.15012 BUSEFAL 30, 51-57 (1987). 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 Cited in 1 ReviewCited in 1 Document MSC: 15B57 Hermitian, skew-Hermitian, and related matrices 15A18 Eigenvalues, singular values, and eigenvectors 03E72 Theory of fuzzy sets, etc. Keywords:fuzzy matrix; symmetric matrix; transitive closure; Eigen fuzzy sets; fuzzy relations; idempotent, diagonally dominated and transitive matrices Citations:Zbl 0466.04003; Zbl 0602.15010 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{R. Cheng}, BUSEFAL 30, 51--57 (1987; Zbl 0626.15012)