Periodicity of Convex and Concave Monge Matrices in Max-min Algebra

被引：0
|
作者：
Molnarova, Monika [1 ]
机构：
[1] Tech Univ Kosice, Dept Math & Theoret Informat, B Nemcovej 32, Kosice 04200, Slovakia
来源：
38TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2020) | 2020年
关键词：
(max; min); algebra; period; Monge matrix;
D O I：
暂无
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
Periodic properties of both convex and concave Monge matrices over max-min algebra are studied. Structure of the corresponding threshold digraphs in regard to matrix period is described. The period of a convex Monge matrix is proved to be equal to one or two. Moreover, equivalent conditions for both cases are presented. The period of a concave Monge matrix is shown to be equal to one.
引用
收藏
页码：377 / 382
页数：6
相关论文
共 19 条
  • [1] Robustness of interval Monge matrices in max-min algebra
    Molnarova, M.
    MATHEMATICAL METHODS IN ECONOMICS (MME 2017), 2017, : 486 - 491
  • [2] Construction of Monge matrices in max-min algebra
    Pozdilkova, Alena
    PROCEEDINGS OF THE 29TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS 2011, PTS I AND II, 2011, : 569 - 574
  • [3] MONOTONE INTERVAL EIGENPROBLEM IN MAX-MIN ALGEBRA
    Gavalec, Martin
    Plavka, Jan
    KYBERNETIKA, 2010, 46 (03) : 387 - 396
  • [4] Hankel max-min matrices and their applications
    Tomaskova, Hana
    Gavalec, Martin
    PROCEEDINGS OF 30TH INTERNATIONAL CONFERENCE MATHEMATICAL METHODS IN ECONOMICS, PTS I AND II, 2012, : 909 - 914
  • [5] Robustness of Monge matrices in fuzzy algebra
    Molnarova, M.
    MATHEMATICAL METHODS IN ECONOMICS (MME 2014), 2014, : 679 - 684
  • [6] EIGENSPACE OF A CIRCULANT MAX-MIN MATRIX
    Gavalec, Martin
    Tomaskova, Hana
    KYBERNETIKA, 2010, 46 (03) : 397 - 404
  • [7] Max-min approach to nonlinear oscillators
    He, Ji-Huan
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2008, 9 (02) : 207 - 210
  • [8] Dominant matrices and max algebra
    Fiedler, Miroslav
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 434 (04) : 1189 - 1194
  • [9] An O(n2) algorithm for maximum cycle mean of Monge matrices in max-algebra
    Gavalec, M
    Plávka, J
    DISCRETE APPLIED MATHEMATICS, 2003, 127 (03) : 651 - 656
  • [10] MMSIA: Improved Max-Min Scheduling Algorithm for Load Balancing on Cloud Computing
    Tran Cong Hung
    Le Ngoc Hieu
    Phan Thanh Hy
    Nguyen Xuan Phi
    PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND SOFT COMPUTING (ICMLSC 2019), 2019, : 60 - 64
12