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International Journal of Neutrosophic Science
Volume 19 , Issue 2, PP: 57-65 , 2022 | Cite this article as | XML | Html |PDF

Title

Neutrosophic approach to Dynamic Programming on group Decision Making problems

Authors Names :   A. Kanchana   1 *     D.Nagarajan   2     Broumi Said   3  

1  Affiliation :  Department of Mathematics, Rajalakshmi Institute of Technology,Chennai, India

    Email :  Kanchana.anbazhagan@gmail.com


2  Affiliation :  Department of Mathematics, Rajalakshmi Institute of Technology,Chennai, India

    Email :  dnrmsu2002@yahoo.com


3  Affiliation :  Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco;Regional Center for the Professions of Education and Training (CRMEF), Casablanca-Settat, Morocco

    Email :  broumisaid78@gmail.com



Doi   :   https://doi.org/10.54216/IJNS.190205

Received: March 26, 2022 Accepted: October 16, 2022

Abstract :

In this article, complicated group decision-making situations where the preference data is represented by linguistic variables are addressed using the dynamic programming approach. Making conclusions clear through accurate figures is difficult for decision-makers due to the complexity and ambiguity of reality. Neutrosophic is used to encode the linguistic variables because they cannot be directly computed. Neutrosophic sets are used to manage indeterminacy in a practical situation. The relationships between single and interval Neutrosophic sets are then measured using novel distance and similarity models. The suggested dynamic programming interval-based clustering methodology is then used to group the decision-makers. Additionally, a novel method for computing the interval weights of decision-makers and clusters is described, accounting for both the cluster center and group size. A centroid-based ranking system is then used to compare and order the possibilities, and illustrated experiments are presented to demonstrate how effectively the suggested technique operates. Comparisons and discussions are also done to show its superiority.

Keywords :

Dynamic programming; neutrosophic system; score function; clustering the decision makers.

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Cite this Article as :
A. Kanchana , D.Nagarajan , Broumi Said, Neutrosophic approach to Dynamic Programming on group Decision Making problems, International Journal of Neutrosophic Science, Vol. 19 , No. 2 , (2022) : 57-65 (Doi   :  https://doi.org/10.54216/IJNS.190205)