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Single and interval valued neutrosophic group decision making problem based on dynamic programming cluster model

In this study, we address the difficult group decision-making situations in which the preference data are represented by linguistic variables using the dynamic programming approach. Making decisions with exact numbers is difficult for decision-makers due to the ambiguity and complexity of reality. S...

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Main Authors: Kanchana, A, Nagarajan, D, Jacob, Kavikumar
Format: Article
Language:English
Published: Springer 2024
Subjects:
QA Mathematics
Online Access:http://eprints.uthm.edu.my/12423/1/J17907_f022434980468d2272916f6bdbab3d82.pdf
http://eprints.uthm.edu.my/12423/
https://doi.org/10.1007/s40314-024-02798-0
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spelling my.uthm.eprints.124232025-01-31T08:43:57Z http://eprints.uthm.edu.my/12423/ Single and interval valued neutrosophic group decision making problem based on dynamic programming cluster model Kanchana, A Nagarajan, D Jacob, Kavikumar QA Mathematics In this study, we address the difficult group decision-making situations in which the preference data are represented by linguistic variables using the dynamic programming approach. Making decisions with exact numbers is difficult for decision-makers due to the ambiguity and complexity of reality. Since they cannot be computed directly, the language variables were encoded using single and interval neutrosophic sets. In a real-world context, neutrosophic sets are used to manage indeterminacy. Then, new models of similarity and distance are developed to quantify the relations between interval and single neutrosophic sets. Next, an interval-based clustering approach based on dynamic programming is proposed and used to group the decision-makers. In addition, a novel method is provided to calculate interval weights for decision-makers and clusters, considering both the cluster centre and group size. Next, a centroid-based ranking method is used to compare and rank the possibilities, and the effectiveness of the proposed strategy is demonstrated through illustrative trials. The purpose of the comparisons and discussions is to demonstrate its superiority. Springer 2024 Article PeerReviewed text en http://eprints.uthm.edu.my/12423/1/J17907_f022434980468d2272916f6bdbab3d82.pdf Kanchana, A and Nagarajan, D and Jacob, Kavikumar (2024) Single and interval valued neutrosophic group decision making problem based on dynamic programming cluster model. Computational and Applied Mathematics, 43 (287). pp. 1-36. https://doi.org/10.1007/s40314-024-02798-0
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Kanchana, A
Nagarajan, D
Jacob, Kavikumar
Single and interval valued neutrosophic group decision making problem based on dynamic programming cluster model
description In this study, we address the difficult group decision-making situations in which the preference data are represented by linguistic variables using the dynamic programming approach. Making decisions with exact numbers is difficult for decision-makers due to the ambiguity and complexity of reality. Since they cannot be computed directly, the language variables were encoded using single and interval neutrosophic sets. In a real-world context, neutrosophic sets are used to manage indeterminacy. Then, new models of similarity and distance are developed to quantify the relations between interval and single neutrosophic sets. Next, an interval-based clustering approach based on dynamic programming is proposed and used to group the decision-makers. In addition, a novel method is provided to calculate interval weights for decision-makers and clusters, considering both the cluster centre and group size. Next, a centroid-based ranking method is used to compare and rank the possibilities, and the effectiveness of the proposed strategy is demonstrated through illustrative trials. The purpose of the comparisons and discussions is to demonstrate its superiority.
format Article
author Kanchana, A
Nagarajan, D
Jacob, Kavikumar
author_facet Kanchana, A
Nagarajan, D
Jacob, Kavikumar
author_sort Kanchana, A
title Single and interval valued neutrosophic group decision making problem based on dynamic programming cluster model
title_short Single and interval valued neutrosophic group decision making problem based on dynamic programming cluster model
title_full Single and interval valued neutrosophic group decision making problem based on dynamic programming cluster model
title_fullStr Single and interval valued neutrosophic group decision making problem based on dynamic programming cluster model
title_full_unstemmed Single and interval valued neutrosophic group decision making problem based on dynamic programming cluster model
title_sort single and interval valued neutrosophic group decision making problem based on dynamic programming cluster model
publisher Springer
publishDate 2024
url http://eprints.uthm.edu.my/12423/1/J17907_f022434980468d2272916f6bdbab3d82.pdf
http://eprints.uthm.edu.my/12423/
https://doi.org/10.1007/s40314-024-02798-0
_version_ 1823094304862633984
score 13.235362

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