Neutrosophic Dynamic Network DEA: Efficient Allocation of Carryover Variables in Organizational Processes

Carryover activities in dynamic DEA refer to the persistence of resources, inputs, or outputs across periods in organizational processes, reflecting the impact of past decisions on current and future performance. In practical applications, some carryover variables can extend beyond the immediate nex...

Full description

Saved in:
Bibliographic Details
Main Authors: Maryam Heydar, Hadi Bagherzadeh Valami
Format: Article
Language:English
Published: University of New Mexico 2025-04-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/9DynamicNetwork.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849233744453435392
author Maryam Heydar
Hadi Bagherzadeh Valami
author_facet Maryam Heydar
Hadi Bagherzadeh Valami
author_sort Maryam Heydar
collection DOAJ
description Carryover activities in dynamic DEA refer to the persistence of resources, inputs, or outputs across periods in organizational processes, reflecting the impact of past decisions on current and future performance. In practical applications, some carryover variables can extend beyond the immediate next period, and their allocation is discretionary, controlled by the Decision-Maker (DM). This paper introduces a novel dynamic network DEA (DNDEA) model aimed at optimizing the allocation of these carryovers and identifying inefficiencies within a network system across multiple evaluation periods. Recognizing the uncertainties present in real-world data, we incorporate neutrosophic sets to effectively process uncertain information, which adds complexity to our analysis. To address this, we transform the Neutrosophic Dynamic Network Slack-Based Measure (NDNSBM) model into a two-stage framework. By leveraging the concept of Pareto efficiency, our model establishes boundaries for overall and period scores across varying levels of truth, indeterminacy, and falsity. The key contribution of this work is the introduction of discretionary carryover variables in DNDEA models, facilitating strategic allocation across future periods. Additionally, the integration of neutrosophic data provides a more realistic approach to dynamic decision-making contexts. We validate our methodology through a numerical example evaluating the performance of Iranian bank branches, demonstrating that our proposed model is more discriminative and offers deeper insights into resource allocation strategies compared to the DNSBM model. This comprehensive approach enhances understanding of resource management in dynamic environments, offering valuable implications for decision-makers in various sectors.
format Article
id doaj-art-9cc1a2fff4ab47d081ff16f6d260ca39
institution Kabale University
issn 2331-6055
2331-608X
language English
publishDate 2025-04-01
publisher University of New Mexico
record_format Article
series Neutrosophic Sets and Systems
spelling doaj-art-9cc1a2fff4ab47d081ff16f6d260ca392025-08-20T04:03:26ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-04-017913616810.5281/zenodo.14525384Neutrosophic Dynamic Network DEA: Efficient Allocation of Carryover Variables in Organizational ProcessesMaryam Heydar Hadi Bagherzadeh ValamiCarryover activities in dynamic DEA refer to the persistence of resources, inputs, or outputs across periods in organizational processes, reflecting the impact of past decisions on current and future performance. In practical applications, some carryover variables can extend beyond the immediate next period, and their allocation is discretionary, controlled by the Decision-Maker (DM). This paper introduces a novel dynamic network DEA (DNDEA) model aimed at optimizing the allocation of these carryovers and identifying inefficiencies within a network system across multiple evaluation periods. Recognizing the uncertainties present in real-world data, we incorporate neutrosophic sets to effectively process uncertain information, which adds complexity to our analysis. To address this, we transform the Neutrosophic Dynamic Network Slack-Based Measure (NDNSBM) model into a two-stage framework. By leveraging the concept of Pareto efficiency, our model establishes boundaries for overall and period scores across varying levels of truth, indeterminacy, and falsity. The key contribution of this work is the introduction of discretionary carryover variables in DNDEA models, facilitating strategic allocation across future periods. Additionally, the integration of neutrosophic data provides a more realistic approach to dynamic decision-making contexts. We validate our methodology through a numerical example evaluating the performance of Iranian bank branches, demonstrating that our proposed model is more discriminative and offers deeper insights into resource allocation strategies compared to the DNSBM model. This comprehensive approach enhances understanding of resource management in dynamic environments, offering valuable implications for decision-makers in various sectors.https://fs.unm.edu/NSS/9DynamicNetwork.pdfneutrosophic setdynamic network deadecision makingcarryover variables
spellingShingle Maryam Heydar
Hadi Bagherzadeh Valami
Neutrosophic Dynamic Network DEA: Efficient Allocation of Carryover Variables in Organizational Processes
Neutrosophic Sets and Systems
neutrosophic set
dynamic network dea
decision making
carryover variables
title Neutrosophic Dynamic Network DEA: Efficient Allocation of Carryover Variables in Organizational Processes
title_full Neutrosophic Dynamic Network DEA: Efficient Allocation of Carryover Variables in Organizational Processes
title_fullStr Neutrosophic Dynamic Network DEA: Efficient Allocation of Carryover Variables in Organizational Processes
title_full_unstemmed Neutrosophic Dynamic Network DEA: Efficient Allocation of Carryover Variables in Organizational Processes
title_short Neutrosophic Dynamic Network DEA: Efficient Allocation of Carryover Variables in Organizational Processes
title_sort neutrosophic dynamic network dea efficient allocation of carryover variables in organizational processes
topic neutrosophic set
dynamic network dea
decision making
carryover variables
url https://fs.unm.edu/NSS/9DynamicNetwork.pdf
work_keys_str_mv AT maryamheydar neutrosophicdynamicnetworkdeaefficientallocationofcarryovervariablesinorganizationalprocesses
AT hadibagherzadehvalami neutrosophicdynamicnetworkdeaefficientallocationofcarryovervariablesinorganizationalprocesses