Kybernetika 46 no. 3, 387-396, 2010

Monotone interval eigenproblem in max-min algebra

Martin Gavalec and Ján Plavka

Abstract:

The interval eigenproblem in max-min algebra is studied. A classification of interval eigenvectors is introduced and six types of interval eigenvectors are described. Characterization of all six types is given for the case of strictly increasing eigenvectors and Hasse diagram of relations between the types is presented.

Keywords:

interval coefficients, eigenvector

Classification:

08A72, 90B35, 90C47