Entropy and Syntropy in the Context of Five-Valued Logics

TL;DR

This paper introduces a five-valued logic framework for bifuzzy sets, defining similarity, entropy, and syntropy measures to better handle uncertainty and inconsistency in data representation.

Contribution

It develops a novel five-valued representation for bifuzzy sets and formulates formulas for similarity, entropy, and syntropy within this framework.

Findings

Defined five-valued logic for bifuzzy sets.

Formulated similarity, entropy, and syntropy measures.

Provides a new approach to handle uncertainty in data.

Abstract

This paper presents a five-valued representation of bifuzzy sets. This representation is related to a five-valued logic that uses the following values: true, false, inconsistent, incomplete and ambiguous. In the framework of five-valued representation, formulae for similarity, entropy and syntropy of bifuzzy sets are constructed.