On the O(n3) algorithm for checking the strong robustness of interval fuzzy matrices

Authors:
Ján Plavka
Affiliations:
-
Venue:
Discrete Applied Mathematics
Year:
2012

Citing 2
Cited 0

Graphs, Dioids and Semirings: New Models and Algorithms (Operations Research/Computer Science Interfaces Series)

Graphs, Dioids and Semirings: New Models and Algorithms (Operations Research/Computer Science Interfaces Series)
On the λ-robustness of matrices over fuzzy algebra

Discrete Applied Mathematics

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Abstract

Strongly robust interval matrices over (max,min)-algebra (fuzzy matrices) are studied and strong robustness properties are proved, similar to those of classical fuzzy matrices. It is shown that a strong robustness of an interval fuzzy matrix is well-defined using the definition of classical strong robustness. Characterization of strong robustness of interval fuzzy matrices is presented and an O(n^3) algorithm for checking the strong robustness of interval fuzzy matrices is described.