Article ID Journal Published Year Pages File Type
4599058 Linear Algebra and its Applications 2015 17 Pages PDF
Abstract

A max–min (fuzzy) matrix A   (operations max and min are denoted by ⊕ and ⊗, respectively) is called weakly robust if the only possibility to arrive at an eigenvector is to start the sequence (orbit) x,A⊗x,A2⊗x,…x,A⊗x,A2⊗x,… by a vector that is itself an eigenvector. The weak robustness of a fuzzy matrix is extended to interval fuzzy matrices distinguishing two possibilities, that at least one matrix or all matrices from a given interval are weakly robust. Characterization of weak robustness of interval fuzzy matrices is presented and an O(n3)O(n3) algorithm for checking the weak robustness of interval fuzzy matrices is described.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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