Interval Complex Neutrosophic Set: Formulation and Applications in Decision-Making
Article
Article Title | Interval Complex Neutrosophic Set: Formulation and Applications in Decision-Making |
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ERA Journal ID | 39678 |
Article Category | Article |
Authors | Ali, Mumtaz (Author), Dat, Luu Quoc (Author), Son, Le Hoang (Author) and Smarandache, Florentin (Author) |
Journal Title | International Journal of Fuzzy Systems |
Journal Citation | 20 (3), pp. 986-999 |
Number of Pages | 14 |
Year | 2018 |
Place of Publication | Germany |
ISSN | 1562-2479 |
Digital Object Identifier (DOI) | https://doi.org/10.1007/s40815-017-0380-4 |
Web Address (URL) | https://link.springer.com/article/10.1007/s40815-017-0380-4 |
Abstract | Neutrosophic set is a powerful general formal framework which generalizes the concepts of classic set, fuzzy set, interval-valued fuzzy set, intuitionistic fuzzy set, etc. Recent studies have developed systems with complex fuzzy sets, for better designing and modeling real-life applications. The single-valued complex neutrosophic set, which is an extended form of the single-valued complex fuzzy set and of the single-valued complex intuitionistic fuzzy set, presents difficulties to defining a crisp neutrosophic membership degree as in the single-valued neutrosophic set. Therefore, in this paper we propose a new notion, called interval complex neutrosophic set (ICNS), and examine its characteristics. Firstly, we define several set theoretic operations of ICNS, such as union, intersection and complement, and afterward the operational rules. Next, a decision-making procedure in ICNS and its applications to a green supplier selection are investigated.Numerical examples based on real dataset of Thuan Yen JSC, which is a small-size trading service and transportation company, illustrate the efficiency and the applicability of our approach. |
Keywords | Green supplier selection, Multi-criteria decision-making, Neutrosophic set, Interval complex neutrosophic set, Interval neutrosophic set |
ANZSRC Field of Research 2020 | 490108. Operations research |
490101. Approximation theory and asymptotic methods | |
Byline Affiliations | School of Agricultural, Computational and Environmental Sciences |
Vietnam National University, Vietnam | |
University of New Mexico, United States | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q46w2/interval-complex-neutrosophic-set-formulation-and-applications-in-decision-making
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