Single-valued neutrosophic fairly aggregation operators with multi-criteria decision-making

Riaz M., Farid H. M. A., Ashraf S., KAMACI H.

Computational and Applied Mathematics, vol.42, no.3, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 3
  • Publication Date: 2023
  • Doi Number: 10.1007/s40314-023-02233-w
  • Journal Name: Computational and Applied Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Computer & Applied Sciences, zbMATH
  • Keywords: Fairly operations, Aggregation operators, Single-valued neutrosophic numbers, Optimization model
  • Yozgat Bozok University Affiliated: Yes


Single-valued neutrosophic sets have the potential to be effective in dealing with complexity issues, particularly those involving three components: truthness, indeterminacy, and falsity. In a single-valued neutrosophic context, this article aims to develop some completely new operational laws and aggregation operators (AOs). In this context, we offer some new neutral or fair operational rules that embrace the notion of proportionate distribution to establish a neutral or fair cure for the truthfulness, indeterminacy, and falsehood of single-valued neutrosophic set. Subsequently, based on the developed operational laws, we create the single-valued neutrosophic fairly weighted average operator and single-valued neutrosophic fairly ordered weighted averaging operator. These emerging aggregation operators are more general than previous single-valued neutrosophic aggregation operators, and also provide reliable and accurate information. In addition, we design a multi-criteria decision-making algorithm using these new single-valued neutrosophic aggregation operators with partial weight information. A real-life application of the proposed algorithm is presented, thus illustrating its step-by-step procedure in detail. Furthermore, the proposed multi-criteria decision-making approach based on single-valued neutrosophic fairly (ordered) weighted averaging operators is compared with some existing approaches to demonstrate its practicality, validity, and superiority.