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Interval Complex Neutrosophic Set: Formulation and Applications in Decision-Making

Title: Interval Complex Neutrosophic Set: Formulation and Applications in Decision-Making
Authors: M Ali; LQ Dat; LH Son; F Smarandache
Publication Year: 2018
Subject Terms: Artificial intelligence not elsewhere classified; Theory of computation not elsewhere classified; Applied mathematics not elsewhere classified; Science & Technology; Technology; Automation & Control Systems; Computer Science; Artificial Intelligence; Information Systems; Green supplier selection; Multi-criteria decision-making; Neutrosophic set; Interval complex neutrosophic set; Interval neutrosophic set; SIMILARITY MEASURES; ENVIRONMENT; NUMBERS; 4901 Applied mathematics
Description: © 2017, Taiwan Fuzzy Systems Association and Springer-Verlag GmbH Germany. 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.
Document Type: article in journal/newspaper
Language: unknown
Relation: http://hdl.handle.net/10536/DRO/DU:30121795
Availability: http://hdl.handle.net/10536/DRO/DU:30121795; https://figshare.com/articles/journal_contribution/Interval_complex_neutrosophic_set_formulation_and_applications_in_decision-making/20758387
Rights: All Rights Reserved
Accession Number: edsbas.CB5802A4
Database: BASE