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Minimum cost flow problems in generalized fuzzy environments. Credibilistic CVaR minimization approach

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  • Hande Günay Akdemir
  • Nurdan Kara
  • Hale Gonce Kocken

Abstract

The paper focuses on the problems of linear programming (LP) with generalized fuzzy numbers (GFNs) as coefficients of the objective function. It is necessary to characterize consistent arithmetic operations to lower the error and information loss compared to the minimum operator usage and normalization in cases where experts are not completely certain of their subjective opinions. The uncertainty is eliminated using the total cost as a loss function and credibilistic conditional value at risk (CVaR) minimization. To crispify and generate a GFN, we utilize a ranking function that allows us to consider risky realizations. By solving many deterministic problems with LP solvers, projections of the error in the objective function can be presented. To describe and implement our methodology, we mainly focus on network optimization problems, especially generalized fuzzy transportation, assignment, and shortest path problems.

Suggested Citation

  • Hande Günay Akdemir & Nurdan Kara & Hale Gonce Kocken, 2024. "Minimum cost flow problems in generalized fuzzy environments. Credibilistic CVaR minimization approach," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(3), pages 125-141.
  • Handle: RePEc:wut:journl:v:34:y:2024:i:3:p:125-141:id:7
    DOI: 10.37190/ord240307
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    References listed on IDEAS

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    1. Güray Kara & Ayşe Özmen & Gerhard-Wilhelm Weber, 2019. "Stability advances in robust portfolio optimization under parallelepiped uncertainty," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(1), pages 241-261, March.
    2. Islam, Sahidul & Roy, Tapan Kumar, 2006. "A new fuzzy multi-objective programming: Entropy based geometric programming and its application of transportation problems," European Journal of Operational Research, Elsevier, vol. 173(2), pages 387-404, September.
    3. 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.
    4. Anila Gupta & Amit Kumar & Mahesh Kumar Sharma, 2013. "Applications of Fuzzy Linear Programming with Generalized LR Flat Fuzzy Parameters," Fuzzy Information and Engineering, Taylor & Francis Journals, vol. 5(4), pages 475-492, December.
    5. Baltas, I. & Dopierala, L. & Kolodziejczyk, K. & Szczepański, M. & Weber, G.-W. & Yannacopoulos, A.N., 2022. "Optimal management of defined contribution pension funds under the effect of inflation, mortality and uncertainty," European Journal of Operational Research, Elsevier, vol. 298(3), pages 1162-1174.
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