| Title: | Fixed cost allocation with a minimum distance to fair allocation in Fuzzy Data Envelopment Analysis |
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| Authors: | ID Sarfi, Elahe (Author)
ID Noroozi, Esmat (Author)
ID Lotfi, Farhad Hosseinzadeh (Author)
ID Shahriari, Mohammadreza (Author)
ID Allahviranloo, Tofigh (Author)
ID Samanta, Sovan (Author)
ID Mršić, Leo (Author) |
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| Files: |  URL - Source URL, visit https://oiccpress.com/ms/article/view/17708/19338
 PDF - Presentation file, download (904,49 KB)
MD5: 4E84C0C254A8376D643E4FA822E9BF72
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  RUDOLFOVO - Rudolfovo - Science and Technology Centre Novo Mesto
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| Abstract: | Resource allocation in Data Envelopment Analysis (DEA) has been extensively studied, yet most works focus on redistributing available resources rather than allocating unavoidable fixed costs among decision-making units (DMUs). This study addresses the important problem of fixed cost allocation, aiming to ensure that inefficient DMUs can become efficient while keeping allocations as fair as possible, thereby providing a practical decision-making tool in real-world contexts such as banking and manufacturing. We propose a new linear DEA-based model that allocates fixed costs so as to transform an inefficient DMU into an efficient one, with the objective of minimizing the deviation from fair allocation. The model is then generalized to a fuzzy environment by incorporating triangular fuzzy numbers for inputs, outputs, and costs, and validated using benchmark datasets from Cook and Kress and Wang et al. The results demonstrate that the proposed models can successfully enhance the efficiency of targeted DMUs while producing allocations close to fairness, and the fuzzy extension proves robust in handling imprecise data. The key novelties of this research are (i) introducing a linear efficiency-improving allocation model with minimum distance to fairness, (ii) extending the allocation problem to fuzzy DEA by considering fuzzy costs alongside fuzzy inputs and outputs, and (iii) showing that this integrated framework has not been addressed before in the literature, thereby offering a novel, practical, and equitable approach for fixed cost allocation in DEA. |
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| Keywords: | data envelopment analysis, efficiency, allocation, fair allocation, triangular fuzzy number |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Article acceptance date: | 26.03.2025 |
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| Publication date: | 31.03.2025 |
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| Publisher: | OICC Press |
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| Year of publishing: | 2025 |
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| Number of pages: | str. 1-20 |
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| Numbering: | Vol. 19, no. 1 |
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| PID: | 20.500.12556/DiRROS-24572  |
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| UDC: | 519.8 |
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| ISSN on article: | 2251-7456 |
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| DOI: | 10.57647/mathsci.2025.1901.04 |
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| COBISS.SI-ID: | 260287491 |
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| Copyright: | © 2025 The Author(s) |
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| Note: | Nasl. z nasl. zaslona;
Opis vira z dne 6. 12. 2025;
Soavtorji: Esmat Noroozi, Farhad Hosseinzadeh Lotfi, Mohammadreza Shahriari, Tofigh Allahviranloo, Sovan Samanta, Leo Mrsic;
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| Publication date in DiRROS: | 30.12.2025 |
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| Views: | 454 |
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| Downloads: | 89 |
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