$$({\alpha ,\beta })$$ ( α , β ) -Intuitionistic fuzzy bi-ideals of semigroups

Abstract

In this article, a new generalization of intuitionsitic fuzzy bi-ideals of a semigroup considered so called $$(\alpha ,\beta )$$ -intuitionistic fuzzy bi-ideals, (1, 2)-ideals in a semigroup. We combine the notion of intuitionsitic fuzzy point and intuitionistic fuzzy sets to defined different types of intuitionsitic fuzzy bi-ideals of a semigroups. We investigate different properties of these notions and their relationships, particularly, we define $$(\in ,\in \vee q)$$ -intuitionistic fuzzy bi-ideals and (1, 2) ideals in semigroups.