Annals of Communications in Mathematics

AbstractIn this article, we define the concept of Pythagorean Q-anti neutrosophic ideal in gamma semigroup, Pythagorean Q-anti neutrosophic bi-ideal in gamma semigroup, and Pythagorean Q-anti neutrosophic interior ideal in gamma semigroup. We have illustrated the definition with an example. We have shown that Pythagorean Q- anti neutrosophic bi-ideal is a fuzzy bi-ideal and Pythagorean Q-anti neutrosophic ideal is a Pythagorean Q-anti neutrosophic interior ideal. Also, we have established some of its properties in detail.

AbstractIn this paper, we present the concepts of almost bi-ideals and fuzzy almost bi-ideals in ternary semigroups. The aim is to study their characterizations and establish the relation between different types of ideals in a ternary semigroup with various examples.