Linguistic Approaches to Interval Complex Neutrosophic Sets in Decision Making
LUU QUOC DAT · NGUYEN THO THONG · LE HOANG SON · MUMTAZ ALI · FLORENTIN SMARANDACHE · MOHAMED ABDEL-BASSET · HOANG VIET LONG
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One of the most ef cient 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 classi cations of the candidate versus criteria, gather the signi cance 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 ef ciency of the proposal.
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