ON SOME LOGICAL PROPERTIES IN B3


KELEŞ H., ŞAHİN H. İ.

Journal of Applied Mathematics and Informatics, vol.43, no.2, pp.267-275, 2025 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 43 Issue: 2
  • Publication Date: 2025
  • Doi Number: 10.14317/jami.2025.267
  • Journal Name: Journal of Applied Mathematics and Informatics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.267-275
  • Keywords: binary operation, Complement, De Morgan, ternary system
  • Karadeniz Technical University Affiliated: Yes

Abstract

This paper is about the expression of several properties of known formal logic in ternary logic. The ternary logic is offered a priority beyond the logic of existence and non-existence. It is offered a new per-spective to our studies. The main aim of the study is to provide a solution to the concepts of uncertainty in societies [2]. The change of De Morgan rules in B3 given by binary logic is investigated. Lemmas, theorems and some properties of the different cases are given in B3. The content of this study consists of two parts. The first part is about complements and the second part explains the software of integers in B3.