Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599058 | Linear Algebra and its Applications | 2015 | 17 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Helena Myšková, Ján Plavka,