Publication details

FUZZY LIMITS OF CAPACITIES IN CONSTRAINTS OF LINEAR PROGRAMMING PROBLEMS: DEMONSTRATION ON EXAMPLES

Authors

KUBIŠOVÁ Andrea

Year of publication 2015
Type Article in Periodical
Magazine / Source Logos polytechnikos
Citation
Web http://www.vspj.cz
Keywords linear programming, fuzzy set, fuzzy number, fuzzy linear programming, mathematical model, optimal solution, objective function value
Description All coefficients of a mathematical model are usually given exactly in conventional LP problems, therefore the exact optimum can be found. But the limit values are often expressed vaguely in practice, and, as a result, it is necessary to use relaxed capacity limits and a fuzzy concept of solving LP problems. In this article the LP problem of two structural variables is solved, to illustrate a comparison between algebraic and graphic solution. Although the graphical method is not suitable for solving of real economic problems in practice, the shown examples are useful for educational purpose, the illustration of the mutual relationship of both methods helps the students to understand this Operation research topic.

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