Linguistic Approaches to Interval Complex Neutrosophic Sets in Decision Making
Article
Article Title | Linguistic Approaches to Interval Complex Neutrosophic Sets in Decision Making |
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ERA Journal ID | 210567 |
Article Category | Article |
Authors | Dat, Luu Quoc (Author), Thong, Nguyen Tho (Author), Son, Le Hoang (Author), Ali, Mumtaz (Author), Smarandache, Florentin (Author), Abdel-Basset, Mohamed (Author) and Long, Hoang Viet (Author) |
Journal Title | IEEE Access |
Journal Citation | 7, pp. 38902-38917 |
Number of Pages | 16 |
Year | 2019 |
Publisher | IEEE (Institute of Electrical and Electronics Engineers) |
Place of Publication | United States |
ISSN | 2169-3536 |
Digital Object Identifier (DOI) | https://doi.org/10.1109/ACCESS.2019.2902841 |
Web Address (URL) | https://ieeexplore.ieee.org/document/8658077 |
Abstract | One of the most efficient tools for modeling uncertainty in decision-making problems is the neutrosophic set (NS) and its extensions, such as complex NS (CNS), interval NS (INS), and interval complex NS (ICNS). Linguistic variables have been long recognized as a useful tool in decision-making problems for solving the problem of crisp neutrosophic membership degree. In this paper, we aim to introduce new concepts: single-valued linguistic complex neutrosophic set (SVLCNS-2) and interval linguistic complex neutrosophic set (ILCNS-2) that are more applicable and adjustable to real-world implementation than those of their previous counterparts. Some set-theoretic operations and the operational rules of SVLCNS-2 and ILCNS-2 are designed. Then, gather classifications of the candidate versus criteria, gather the significance weights, gather the weighted rankings of candidates versus criteria and a score function to arrange the candidates are determined. New TOPSIS decision-making procedures in SVLCNS-2 and ICNS-2 are presented and applied to lecturer selection in the case study of the University of Economics and Business, Vietnam National University. The applications demonstrate the usefulness and efficiency of the proposal. |
Keywords | lecturer selection, linguistic interval complex neutrosophic set, multi-criteria decision-making, neutrosophic set |
ANZSRC Field of Research 2020 | 461399. Theory of computation not elsewhere classified |
490304. Optimisation | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Vietnam National University, Vietnam |
School of Agricultural, Computational and Environmental Sciences | |
University of New Mexico, United States | |
Zagazig University, Egypt | |
Ton Duc Thang University, Vietnam | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q768x/linguistic-approaches-to-interval-complex-neutrosophic-sets-in-decision-making
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