Interval complex neutrosophic set: formulation and applications in decision-making

Ali, Mumtaz and Dat, Luu Quoc and Son, Le Hoang and Smarandache, Florentin (2017) Interval complex neutrosophic set: formulation and applications in decision-making. International Journal of Fuzzy Systems, 19 (Feb - Dec 2017). pp. 1-14. ISSN 1562-2479


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.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Published online 1 Sept 2017. Permanent restricted access to ArticleFirst version, in accordance with the copyright policy of the publisher.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 23 Jan 2018 02:15
Last Modified: 27 Apr 2018 01:41
Uncontrolled Keywords: Green supplier selection, Multi-criteria decision-making, Neutrosophic set, Interval complex neutrosophic set, Interval neutrosophic set
Fields of Research : 01 Mathematical Sciences > 0102 Applied Mathematics > 010206 Operations Research
01 Mathematical Sciences > 0102 Applied Mathematics > 010201 Approximation Theory and Asymptotic Methods
Identification Number or DOI: 10.1007/s40815-017-0380-4

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