Abstract: In this paper, we introduced the concept of $(\alpha , \beta) $-doubt fuzzy ideals of $ BG $-algebras and investigated some of their related properties. We also defined doubt cartesian product of $(\alpha , \beta)$-doubt fuzzy ideals and studied their properties.

Keywords: $BG$-algebra, $\alpha$-Fuzzy ideal, $\alpha$-Doubt fuzzy ideal, $(\alpha , \beta) $-Doubt fuzzy ideal, Homomorphism.

 

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How to cite this article:

S.R.Barbhuiya, $(\alpha,\beta) $-Doubt Fuzzy Ideals of $BG$-Algebras, International Journal of Advances in Mathematics, Volume 2018, Number 1, Pages 83-94, 2018.