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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Abdul Wali Khan University, Mardan, KP, Pakistan

    Saleem Abdullah

  2. Department of Mathematics, University of Hail, Hail, Kingdom of Saudi Arabia

    Shah Hussain

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  1. Saleem Abdullah
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  2. Shah Hussain
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Correspondence to Saleem Abdullah.

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Abdullah, S., Hussain, S. \(({\alpha ,\beta })\)-Intuitionistic fuzzy bi-ideals of semigroups. Afr. Mat. 28, 1033–1059 (2017). https://doi.org/10.1007/s13370-017-0501-0

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  • DOI: https://doi.org/10.1007/s13370-017-0501-0

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