Eigen fuzzy vectors and values were introduced by E. Sanchez  and K.H. Kim, F.W. Roush . Some articles (cf. , , ) consider eigen fuzzy vectors for max−min product with discussion of the greatest solution and algorithms for reach it. In  author consider properties of eigen fuzzy vectors for max−min product with some assumption about given matrix. Moreover, M. Wagenknecht, K. Hartmann (cf. ) consider fuzzy eigen vectors from given intervals. Later, those vectors were generalized for max−prod (cf. ) and min−T (cf. ) product, where T denotes triangular norms. Our considerations concern eigen fuzzy vectors for min−∗ product, where ∗ is a monotonic operation with additional properties.
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