It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.Furthermore we introduce a new necessary and sucient condition for checkingstability of interval...

This study describes a consistency-based approach for multiperson decision-making (MPDM) in which decision-makers’ suggestions are expressed as incomplete interval-valued fuzzy preference relations. The presented utilizes Lukasiewicz’s t-norm conjunction with additive reciprocity to obtain comprehensive interval valued relations from each expert, and the transitive closure formula also produces...

In this paper we focus on generalizing B π R -matrices into the interval setting, including some results regarding class. There are two possible way...