An Integrated DEMATEL with Bipolar neutrsophic Dombi-based Heronian Mean Operator and Its Applications in Decision-making Problem
Siti Nurhidayah Yaacob1, Hazwani Hashim2*, Nor Hashimah Sulaiman3, Noor Azzah Awang4, Ashraf Al-Quran5, Lazim Abdullah6
1,4 School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia.
2 School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), Kelantan Branch, 18500 Machang, Kelantan, Malaysia.
3 Centre of Foundation Studies, Universiti Teknologi MARA (UiTM), Selangor Branch, Dengkil Campus, 43800 Dengkil, Selangor, Malaysia.
5 Department of Mathematics and Statistics,College of Science, King Faisal University, Al-Ahsa, 31982, Saudi Arabia.
6 Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu (UMT), Kuala Nerus, 21030, Malaysia.
Emails: sitinurhidayahyaacob@gmail.com; hazwanihashim@uitm.edu.my; norhashimah@uitm.edu.my; azzahawang@uitm.edu.my; aalquran@kfu.edu.sa; lazim_m@umt.edu.my
Abstract
The Decision-Making Trial and Evaluation Laboratory (DEMATEL) approach is commonly used in examining and illustrating the relationship between different factors in a complex system. This paper proposes a novel approach that integrates the Bipolar neutrosophic Dombi-based IGWHM operator into the DEMATEL method, in which the criteria are analyzed by means of the cause-and-effect relationship diagram. The current studies on the classical DEMATEL approach have some limitations on the aggregation process, particularly in capturing the interrelationship of individual arguments by assessing their impact on each other within a complex system. To enhance the aggregation of complex information in the decision-making framework, the Bipolar neutrosophic Dombi-based Improved Generalized Weighted Heronian mean (IGWHM) operators are employed. The applicability and effectiveness of the proposed approach are demonstrated when solving a selection of transport service providers. The ability of the method to highlight the intricate interdependencies and ranking criteria based on their importance. The sensitivity of the developed approach is observed with variations in the involved parameter. Moreover, a comparative analysis is made with other methods to demonstrate its validity.
Keywords: Decision-making; Bipolar Neutrosophic Set; Improved Generalized Weighted Heronian Mean; DEMATEL.