Robustness of Monge matrices in fuzzy algebra

被引：0

作者：

Molnarova, M. ^{[1
]}

机构：

[1] Tech Univ Kosice, Dept Math & Theoret Informat, Kosice 04200, Slovakia

来源：

MATHEMATICAL METHODS IN ECONOMICS (MME 2014) | 2014年

关键词：

(max; min); algebra; robustness; Monge matrix;

D O I：

暂无

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

Robust Monge matrices over max-min algebra (fuzzy matrices) are studied. The max-min algebra (fuzzy algebra) is an extremal algebra with operations maximum and minimum. Equivalent conditions for robustness of Monge fuzzy matrices are presented. Polynomial algorithm for checking the necessary and sufficient conditions for Monge fuzzy matrices to be robust is described.

引用

页码：679 / 684

页数：6

共 8 条

[1] Monge properties, discrete convexity and applications [J].

Burkard, Rainer E. .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 176 (01) :1-14

[2] An O(n2) algorithm for maximum cycle mean of Monge matrices in max-algebra [J].

Gavalec, M ;

Plávka, J .

DISCRETE APPLIED MATHEMATICS, 2003, 127 (03) :651-656

[3]

Gavalec M., 2004, Periodicity in Extremal Algebras

[4] The robustness of interval fuzzy matrices [J].

Molnarova, M. ;

Myskova, H. ;

Plavka, J. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (08) :3350-3364

[5]

Molnarova M., 2013, P 31 INT C MATH METH, P636

[6] Robustness of fuzzy interval circulant-Hankel matrices [J].

Myskova, H. ;

Stefansky, L. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 444 :165-182

[7] On the λ-robustness of matrices over fuzzy algebra [J].

Plavka, Jan ;

Szabo, Peter .

DISCRETE APPLIED MATHEMATICS, 2011, 159 (05) :381-388

[8]

Rudolf R., 1996, DAM, V70, P95

← 1 →