Entropy, neutro-entropy and anti-entropy for neutrosophic information

TL;DR

This paper introduces a multi-valued representation of neutrosophic information, linking it to bifuzzy data, and proposes new measures—neutro-entropy and anti-entropy—completing a triad with entropy and non-entropy.

Contribution

It develops a deca-valued structure for neutrosophic information and introduces the novel concepts of neutro-entropy and anti-entropy.

Findings

Established a deca-valued structure for neutrosophic information

Defined and integrated neutro-entropy and anti-entropy measures

Linked neutrosophic information to bifuzzy data

Abstract

This approach presents a multi-valued representation of the neutrosophic information. It highlights the link between the bifuzzy information and neutrosophic one. The constructed deca-valued structure shows the neutrosophic information complexity. This deca-valued structure led to construction of two new concepts for the neutrosophic information: neutro-entropy and anti-entropy. These two concepts are added to the two existing: entropy and non-entropy. Thus, we obtained the following triad: entropy, neutro-entropy and anti-entropy.