Entropy measures of simplified neutrosophic sets and their decision-making approach with positive and negative arguments

Regarding the insufficiency of existing entropy measures-based decision-making approaches, this paper presents trigonometric functions (cosine and sine functions)-based entropy measures of simplified neutrosophic sets (SNSs), including the entropy measures of single-valued neutrosophic sets (SvNSs) and interval-valued neutrosophic sets (IvNSs). Next, a decision-making (DM) approach is developed regarding the ranking method of both entropy values and positive and negative arguments in SNS setting, and then the comparative analysis with existing DM approaches based on the entropy measures of SNSs (SvNSs and IvNSs) is indicated by a numerical DM example to illustrate the effectiveness and rationality of the developed DM approach in SNS setting. Lastly, two actual DM examples are provided to indicate the practicability and sufficiency of the developed DM approach. However, this study not only enriches the simplified neutrosophic entropy measure but also enhances/improves existing DM approaches based on the entropy measures.

Automated summary

This study introduces trigonometric functions-based entropy measures for simplified neutrosophic sets and develops a decision-making method for ranking in such sets. Comparative analysis with existing approaches is conducted through numerical examples to demonstrate effectiveness, and real-world examples are provided to showcase practicality. The research not only enriches simplified neutrosophic entropy measures but also enhances existing decision-making approaches.