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Fuzzy solution of the linear programming problem with interval coefficients in the constraints

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  • Dorota Kuchta

Abstract

A fuzzy concept of solving the linear programming problem with interval coefficients is proposed. For each optimism level of the decision maker (where the optimism concerns the certainty that no errors have been committed in the estimation of the interval coefficients and the belief that optimistic realisations of the interval coefficients will occur) another interval solution of the problem will be generated and the decision maker will be able to choose the final solution having a complete view of various possibilities.

Suggested Citation

  • Dorota Kuchta, 2005. "Fuzzy solution of the linear programming problem with interval coefficients in the constraints," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 15(3-4), pages 35-42.
    • Handle: RePEc:wut:journl:v:3-4:y:2005:p:35-42
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    References listed on IDEAS

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    1. Sengupta, Atanu & Pal, Tapan Kumar, 2000. "On comparing interval numbers," European Journal of Operational Research, Elsevier, vol. 127(1), pages 28-43, November.
    2. J W Chinneck & K Ramadan, 2000. "Linear programming with interval coefficients," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(2), pages 209-220, February.
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    Cited by:

    1. Figueroa–García, Juan Carlos & Hernández, Germán & Franco, Carlos, 2022. "A review on history, trends and perspectives of fuzzy linear programming," Operations Research Perspectives, Elsevier, vol. 9(C).
    2. Dario Bertocchi & Nicola Camatti & Silvio Giove & Jan van der Borg, 2020. "Venice and Overtourism: Simulating Sustainable Development Scenarios through a Tourism Carrying Capacity Model," Sustainability, MDPI, vol. 12(2), pages 1-15, January.
    3. Mustapha Kaci & Sonia Radjef, 2023. "An adaptive method to solve multilevel multiobjective linear programming problems," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(3), pages 29-44.

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