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Fuzzy linear programs with trapezoidal fuzzy numbers

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  • K. Ganesan
  • P. Veeramani

Abstract

The objective of this paper is to deal with a kind of fuzzy linear programming problem involving symmetric trapezoidal fuzzy numbers. Some important and interesting results are obtained which in turn lead to a solution of fuzzy linear programming problems without converting them to crisp linear programming problems. Copyright Springer Science + Business Media, Inc. 2006

Suggested Citation

  • K. Ganesan & P. Veeramani, 2006. "Fuzzy linear programs with trapezoidal fuzzy numbers," Annals of Operations Research, Springer, vol. 143(1), pages 305-315, March.
    • Handle: RePEc:spr:annopr:v:143:y:2006:i:1:p:305-315:10.1007/s10479-006-7390-1
    DOI: 10.1007/s10479-006-7390-1
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
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    Cited by:

    1. A. Ebrahimnejad & S. H. Nasseri, 2009. "Using complementary slackness property to solve linear programming with fuzzy parameters," Fuzzy Information and Engineering, Springer, vol. 1(3), pages 233-245, September.
    2. S. H. Nasseri & N. Mahdavi-Amiri, 2009. "Some duality results on linear programming problems with symmetric fuzzy numbers," Fuzzy Information and Engineering, Springer, vol. 1(1), pages 59-66, March.
    3. Diptiranjan Behera, 2024. "Solving epistemic uncertainty based optimization problem with crisp coefficients," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(6), pages 2130-2140, June.
    4. Reza Ghanbari & Khatere Ghorbani-Moghadam & Nezam Mahdavi-Amiri, 2021. "A time variant multi-objective particle swarm optimization algorithm for solving fuzzy number linear programming problems using modified Kerre’s method," OPSEARCH, Springer;Operational Research Society of India, vol. 58(2), pages 403-424, June.
    5. Kailash Lachhwani, 2021. "Solving the general fully neutrosophic multi-level multiobjective linear programming problems," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 1192-1216, December.
    6. Sujeet Kumar Singh & Shiv Prasad Yadav, 2018. "Intuitionistic fuzzy multi-objective linear programming problem with various membership functions," Annals of Operations Research, Springer, vol. 269(1), pages 693-707, October.
    7. Sujeet Kumar Singh & Shiv Prasad Yadav, 2016. "A new approach for solving intuitionistic fuzzy transportation problem of type-2," Annals of Operations Research, Springer, vol. 243(1), pages 349-363, August.
    8. Mashadi & Yuliana Safitri & Sukono & Igif Gimin Prihanto & Muhamad Deni Johansyah & Moch Panji Agung Saputra, 2024. "The Inverse and General Inverse of Trapezoidal Fuzzy Numbers with Modified Elementary Row Operations," Mathematics, MDPI, vol. 12(7), pages 1-14, March.
    9. Sukharev, M.G. & Kulik, V.S., 2019. "The impact of information uncertainty on the problems of medium- and long-term planning of the operation modes of gas transport systems," Energy, Elsevier, vol. 184(C), pages 123-128.
    10. Sujit De & Shib Sana, 2015. "Backlogging EOQ model for promotional effort and selling price sensitive demand- an intuitionistic fuzzy approach," Annals of Operations Research, Springer, vol. 233(1), pages 57-76, October.
    11. Izaz Ullah Khan & Tahir Ahmad & Normah Maan, 2013. "A Simplified Novel Technique for Solving Fully Fuzzy Linear Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 159(2), pages 536-546, November.
    12. Anila Gupta & Amit Kumar & Mahesh Kumar Sharma, 2013. "Applications of fuzzy linear programming with generalized LR flat fuzzy parameters," Fuzzy Information and Engineering, Springer, vol. 5(4), pages 475-492, December.
    13. Hossein Abdollahnejad Barough, 2011. "A linear programming priority method for a fuzzy transportation problem with non-linear constraints," Fuzzy Information and Engineering, Springer, vol. 3(2), pages 193-208, June.
    14. Manuel Arana-Jiménez & Carmen Sánchez-Gil, 2020. "On generating the set of nondominated solutions of a linear programming problem with parameterized fuzzy numbers," Journal of Global Optimization, Springer, vol. 77(1), pages 27-52, May.
    15. Xiaobin Yang & Haitao Lin & Gang Xiao & Huanbin Xue & Xiaopeng Yang, 2019. "Resolution of Max-Product Fuzzy Relation Equation with Interval-Valued Parameter," Complexity, Hindawi, vol. 2019, pages 1-16, February.

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