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A Method For Solving Linear Programming Problems With Fuzzy Parameters Based On Multiobjective Linear Programming Technique

Author

Listed:
  • M. ZANGIABADI

    (Faculty of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, Kerman, Iran)

  • H. R. MALEKI

    (Department of Basic Sciences, Shiraz University of Technology, Shiraz, Iran)

Abstract

In the real-world optimization problems, coefficients of the objective function are not known precisely and can be interpreted as fuzzy numbers. In this paper we define the concepts of optimality for linear programming problems with fuzzy parameters based on those for multiobjective linear programming problems. Then by using the concept of comparison of fuzzy numbers, we transform a linear programming problem with fuzzy parameters to a multiobjective linear programming problem. To this end, we propose several theorems which are used to obtain optimal solutions of linear programming problems with fuzzy parameters. Finally some examples are given for illustrating the proposed method of solving linear programming problem with fuzzy parameters.

Suggested Citation

  • M. Zangiabadi & H. R. Maleki, 2007. "A Method For Solving Linear Programming Problems With Fuzzy Parameters Based On Multiobjective Linear Programming Technique," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(04), pages 557-573.
    • Handle: RePEc:wsi:apjorx:v:24:y:2007:i:04:n:s0217595907001395
    DOI: 10.1142/S0217595907001395
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    Cited by:

    1. Nazrul Islam & Afsana Yeasmin Mim & Md. Rayhan Prodhan, 2022. "Application Of Linear Programming For Profit Maximization: A Case Study Of A Cookies Factory In Bangladesh," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 6(1), pages 01-04, May.
    2. Paritosh Srivastava & Raj Singh, 2015. "Optimization of Cropping Pattern in a Canal Command Area Using Fuzzy Programming Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(12), pages 4481-4500, September.

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