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In this article, a new generalization of intuitionsitic fuzzy bi-ideals of a semigroup considered so called $$(\alpha ,\beta )$$ ( α , β ) -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...
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