Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems
By Juan-juan Peng, Jian-qian Wang, Jing Wang, Hong-yu Zhang, Xiao-hong Chen. International Journal of Systems Science, 2016
422 citations recorded by the source corpus.
As a variation of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete and inconsistent information that exists in the real world. Simplified neutrosophic sets (SNSs) have been proposed for the main purpose of addressing issues with a set of specific numbers. However, there are certain problems regarding the existing operations of SNSs, as well as their aggregation operators and the comparison methods. Therefore, this paper defines the novel operations of simplified neutrosophic numbers (SNNs) and develops a comparison method based on the related research of intuitionistic fuzzy numbers. On the basis of these operations and the comparison method, some SNN aggregation operators are proposed. Additionally, an approach for multi-criteria group decision-making (MCGDM) problems is explored by applying these aggregation operators. Finally, an example to illustrate the applicability of the proposed method is provided and a comparison with some other methods is made.
Subfields: Control and Systems Engineering, Management Science and Operations Research
View Paper: https://www.semanticscholar.org/paper/8ff580cb4d6d8e77bae0304b5403b20f6d4193c8
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In Control and Systems Engineering
In Management Science and Operations Research
Citations in the corpus
- An approach of TOPSIS technique for developing supplier selection with group decision making under type-2 neutrosophic number (2019, methodology): “[19] suggested a MAGDM strategy constructed on neutrosophic number generalized hybrid weighted averaging operator.”