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

Abstract

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.

Keywords:

• simplified neutrosophic set
• trigonometric functions-based entropy
• positive and negative arguments
• decision making

Disclosure statement

No potential conflict of interest was reported by the author(s).