Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems

Juan-juan Peng · Jian-qiang Wang · Jing Wang · Hong-yu Zhang · Xiao-hong Chen

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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.

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