An outranking approach for multi-criteria decision-making problems with interval-valued neutrosophic sets. Issue 3 (April 2016)

• Record Type: Journal Article
• Authors: Zhang, Hongyu; Wang, Jianqiang; Chen, Xiaohong
• Is Part Of: Neural computing & applications. Volume 27:Issue 3(2016)
• Page Start: 615
• Page End: 627
• Publication Date: 2016-04
• Subjects: Interval-valued neutrosophic sets -- Multi-criteria decision-making -- Outranking -- ELECTRE IV; Neural networks (Computer science) -- Periodicals; Neural circuitry -- Periodicals; Artificial intelligence -- Periodicals; Neural Networks (Computer) -- Periodicals; Réseaux neuronaux (Informatique) -- Périodiques; Réseaux nerveux -- Périodiques; Intelligence artificielle -- Périodiques; 006.32
• DOI: 10.1007/s00521-015-1882-3
• Languages: English
• ISSNs: 0941-0643

Abstract

Abstract In this paper, a novel outranking approach for multi-criteria decision-making (MCDM) problems is proposed to address situations where there is a set of numbers in the real unit interval and not just a specific number with a neutrosophic set. Firstly, the operations of interval neutrosophic sets and their related properties are introduced. Then some outranking relations for interval neutrosophic numbers (INNs) are defined based on ELECTRE IV, and the properties of the outranking relations are further discussed in detail. Additionally, based on the outranking relations of INNs, a ranking approach is developed in order to solve MCDM problems. Finally, two practical examples are provided to illustrate the practicality and effectiveness of the proposed approach. Moreover, a comparison analysis based on the same examples is also conducted.