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Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs

Result description

Generalized model of a fuzzy matrix game is introduced. A dual of linear programming problems with fuzzy parameters is presented and it is shown that a two person zero sum matrix game with fuzzy pay-offs is equivalent to a primal-dual pair of such fuzzylinear programming problems. Further, certain difficulties with similar approaches reported in the literature are discussed. Illustrative example is presented and discussed.

Keywords

Fuzzy numbersFuzzy matrix gamesFuzzy linear programmingduality

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs

  • Original language description

    Generalized model of a fuzzy matrix game is introduced. A dual of linear programming problems with fuzzy parameters is presented and it is shown that a two person zero sum matrix game with fuzzy pay-offs is equivalent to a primal-dual pair of such fuzzylinear programming problems. Further, certain difficulties with similar approaches reported in the literature are discussed. Illustrative example is presented and discussed.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2009

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the 27th International Conference Mathematical Methods in Economics 2009

  • ISBN

    978-80-213-1963-9

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

  • Publisher name

    Faculty of Economics and Management Czech University of Life Sciences Prague

  • Place of publication

    Praha

  • Event location

    Kostelec nad Černými lesy

  • Event date

    Jan 1, 2009

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

    BNO76

Basic information

Result type

D - Article in proceedings

D

CEP

BB - Applied statistics, operational research

Year of implementation

2009