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A new fuzzy model for multi-criteria project portfolio selection based on modified Kerre’s inequality

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Abstract

Recently, a model for project portfolio selection have been proposed. Here, to modify the proposed model, we consider the parameters of model as fuzzy numbers and we call it fuzzy project portfolio selection problem (FPPSP). Since our proposed model is NP-hard problem, then an efficient fuzzy variable neighborhood search (FVNS) algorithm for solving this model is proposed. In several methods, a FPPS is converted to a crisp problem, but in our proposed algorithm, using modified Kerre’s inequality, the fuzzy optimization problem is solved directly, without changing it to a crisp problem. Finally, in order to demonstrate the efficiency of proposed algorithm, the numerical results of FVNS algorithm are compared with the numerical results of recently proposed method.

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Authors and Affiliations

  1. Graduated student at Ferdowsi Univesity of Mashhad, Mashhad, Iran

    Ali Akbar Sohrabi

  2. Faculty of Mathematical Sciences, Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

    Reza Ghanbari & Sedigheh Sadeghi

  3. Mosaheb Institute of Mathematics, Kharazmi University, Tehran, Iran

    Khatere Ghorbani-Moghadam

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  1. Ali Akbar Sohrabi
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  2. Reza Ghanbari
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Correspondence to Reza Ghanbari.

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Sohrabi, A.A., Ghanbari, R., Ghorbani-Moghadam, K. et al. A new fuzzy model for multi-criteria project portfolio selection based on modified Kerre’s inequality. OPSEARCH 61, 33–50 (2024). https://doi.org/10.1007/s12597-023-00685-6

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