论文信息 - On the O(n3) algorithm for checking the strong robustness of interval fuzzy matrices

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

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.

Ján Plávka | J. Plávka

[1] Martin Gavalec,et al. Monotone interval eigenproblem in max-min algebra , 2010, Kybernetika.

[2] Arthur F. Veinott,et al. Computing a graph's period quadratically by node condensation , 1973, Discret. Math..

[3] M. Fiedler,et al. Linear Optimization Problems with Inexact Data , 2006 .

[4] T. Terano,et al. Failure diagnosis by using fuzzy logic , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

[5] Ján Plávka,et al. On the λ-robustness of matrices over fuzzy algebra , 2011, Discret. Appl. Math..

[6] Michel Minoux,et al. Graphs, dioids and semirings : new models and algorithms , 2008 .

[7] Helena Myšková,et al. Interval systems of max-separable linear equations , 2005 .

[8] J. Rohn. Systems of linear interval equations , 1989 .

[9] Peter Vojtás,et al. Induction of Fuzzy and Annotated Logic Programs , 2006, ILP.

[10] B. Chetia,et al. An Application of Interval-Valued Fuzzy Soft Sets in Medical Diagnosis , 2010 .

[11] Bobby Schmidt,et al. Fuzzy math , 2001 .

[12] M. Kaliraja,et al. An Application of Interval Valued Fuzzy Matrices in Medical Diagnosis , 2011 .

[13] H. Mysková. Control solvability of interval systems of max-separable linear equations , 2006 .