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Fuzzy Goal Programming Problem Based on Minmax Approach for Optimal System Design

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  • Nurullah Umarusman

Abstract

Every system in nature evolved in order to carry on their existence and reach their targets with minimal losses. The fundamental condition of a system’s success lies on making the correct decision by evaluating multiple, complicated, and conflicting goals based on the present constraints. Many mathematical programming problems are make up of objective functions combined by the decision maker based on the constrains. This study investigates how an optimal design can be reached based on Minmax approach. Goal Programming and a Fuzzy Goal Programming known as MA approach are used in this study. The solution of a problem organized as a Multiple De novo programming in order to determine the resource amounts for a business in handcrafts is carried out based on these two approaches. Budget constrain is organized as a goal to solve the problem based on MA approach, and a solution is proposed accordingly. The acquired results suggest that the solution results of Minmax Goal Programming and MA approach are the same.

Suggested Citation

  • Nurullah Umarusman, 2018. "Fuzzy Goal Programming Problem Based on Minmax Approach for Optimal System Design," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 6(1), pages 177-192, June.
    • Handle: RePEc:anm:alpnmr:v:6:y:2018:i:1:p:177-192
    DOI: http://dx.doi.org/10.17093/alphanumeric.404680
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    References listed on IDEAS

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    1. Flavell, RB, 1976. "A new goal programming formulation," Omega, Elsevier, vol. 4(6), pages 731-732.
    2. M. A. Yaghoobi & D. F. Jones & M. Tamiz, 2008. "Weighted Additive Models For Solving Fuzzy Goal Programming Problems," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(05), pages 715-733.
    3. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    4. Hocine, Amine, 2018. "Meta goal programing approach for solving multi-criteria de Novo programing problemAuthor-Name: Zhuang, Zheng-Yun," European Journal of Operational Research, Elsevier, vol. 265(1), pages 228-238.
    5. Chen, Liang-Hsuan & Tsai, Feng-Chou, 2001. "Fuzzy goal programming with different importance and priorities," European Journal of Operational Research, Elsevier, vol. 133(3), pages 548-556, September.
    6. Zhang, Y.M. & Huang, G.H. & Zhang, X.D., 2009. "Inexact de Novo programming for water resources systems planning," European Journal of Operational Research, Elsevier, vol. 199(2), pages 531-541, December.
    7. Akoz, Onur & Petrovic, Dobrila, 2007. "A fuzzy goal programming method with imprecise goal hierarchy," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1427-1433, September.
    8. Hung-Wen Cheng, 2013. "A satisficing method for fuzzy goal programming problems with different importance and priorities," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(1), pages 485-498, January.
    9. A. Charnes & W. W. Cooper & R. O. Ferguson, 1955. "Optimal Estimation of Executive Compensation by Linear Programming," Management Science, INFORMS, vol. 1(2), pages 138-151, January.
    10. Yong Shi, 1999. "Optimal System Design with Multiple Decision Makers and Possible Debt: A Multicriteria De Novo Programming Approach," Operations Research, INFORMS, vol. 47(5), pages 723-729, October.
    11. Kim, Jong Soon & Whang, Kyu-Seung, 1998. "A tolerance approach to the fuzzy goal programming problems with unbalanced triangular membership function," European Journal of Operational Research, Elsevier, vol. 107(3), pages 614-624, June.
    12. Yaghoobi, M.A. & Tamiz, M., 2007. "A method for solving fuzzy goal programming problems based on MINMAX approach," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1580-1590, March.
    13. Zeleny, Milan, 1986. "Optimal system design with multiple criteria: De Novo programming approach," Engineering Costs and Production Economics, Elsevier, vol. 10(2), pages 89-94, June.
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    More about this item

    Keywords

    De Novo Programming; Fuzzy Goal Programming; Minmax Goal Programming; Optimal System Design;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

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