Single Valued Pythagorean Neutrosophic Sub Implicative Ideals in KU-Algebras

Abstract

We introduce the notion of single-valued Pythagorean neutrosophic sub-implicative ideals in KU-algebras and examine their fundamental properties. Specifically, we establish conditions under which a single-valued Pythagorean neutrosophic ideal becomes a single-valued Pythagorean neutrosophic sub-implicative ideal. It is shown that every single-valued Pythagorean neutrosophic sub-implicative ideal is necessarily a single-valued Pythagorean neutrosophic ideal, while the converse does not hold in general. Furthermore, by employing the level set of a single-valued Pythagorean neutrosophic set in a KU-algebra, we provide a characterization of single-valued Pythagorean neutrosophic sub-implicative ideals.