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Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis

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Main Authors: Anna, Labijak-Kowalska, Miłosz, Kadziński
Format: Book
Language:English
Published: Springer 2023
Subjects:
decision-making units
ordinal performances
Online Access:https://link.springer.com/article/10.1007/s12351-023-00755-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8486
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spelling oai:localhost:PNK-84862023-05-23T02:40:29Z Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis Anna, Labijak-Kowalska Miłosz, Kadziński decision-making units ordinal performances CC BY We consider the problem of measuring the efficiency of decision-making units with a ratio-based model. In this perspective, we introduce a framework for robustness analysis that admits both interval and ordinal performances on inputs and outputs. The proposed methodology exploits the uncertainty related to the imprecise data and all feasible input/output weight vectors delimited through linear constraints. We offer methods for verifying the robustness of three types of outcomes: efficiency scores, efficiency preference relations, and efficiency ranks. On the one hand, we formulate mathematical programming models to compute the extreme, necessary, and possible results. On the other hand, we incorporate the stochastic analysis driven by the Monte Carlo simulations to derive the probability distribution of different outcomes. 2023-05-23T02:40:29Z 2023-05-23T02:40:29Z 2023 Book https://link.springer.com/article/10.1007/s12351-023-00755-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/8486 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic decision-making units
ordinal performances
spellingShingle decision-making units
ordinal performances
Anna, Labijak-Kowalska
Miłosz, Kadziński
Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis
description CC BY
format Book
author Anna, Labijak-Kowalska
Miłosz, Kadziński
author_facet Anna, Labijak-Kowalska
Miłosz, Kadziński
author_sort Anna, Labijak-Kowalska
title Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis
title_short Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis
title_full Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis
title_fullStr Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis
title_full_unstemmed Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis
title_sort exact and stochastic methods for robustness analysis in the context of imprecise data envelopment analysis
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s12351-023-00755-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8486
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score 8.891145

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