Interval-valued intuitionistic cubic structures of medial ideals on $BCI$-algebras
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In this paper, we introduce the concept of interval-valued intuitionistic cubic medial-ideal and investigate several properties .Also, we give relations between interval-valued intuitionistic cubic medial-ideal and interval-valued intuitionistic cubic $BCI$-ideal.The image and the pre-image of interval-valued intuitionistic cubic medial-ideal under homomorphism of $BCI$-algebras are defined and how the image and the pre-image of interval-valued intuitionistic cubic medial-ideal under homomorphism of $BCI$-algebras become cubic intuitionistic medial-ideal are studied. Moreover, the Cartesian product of interval-valued intuitionistic cubic medial-ideal in Cartesian product $BCI$-algebras is given.
Abstract
In this paper, we introduce the concept of interval-valued intuitionistic cubic medial-ideal and investigate several properties .Also, we give relations between interval-valued intuitionistic cubic medial-ideal and interval-valued intuitionistic cubic $BCI$-ideal.The image and the pre-image of interval-valued intuitionistic cubic medial-ideal under homomorphism of $BCI$-algebras are defined and how the image and the pre-image of interval-valued intuitionistic cubic medial-ideal under homomorphism of $BCI$-algebras become cubic intuitionistic medial-ideal are studied. Moreover, the Cartesian product of interval-valued intuitionistic cubic medial-ideal in Cartesian product $BCI$-algebras is given.
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