(T, S)-bipolar Pythagorean structures of fuzzy medial-ideals
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In this paper, the concept (T, S)-bipolar Pythagorean fuzzy medial-ideals are introduced and several properties are investigated. Also, the relations between (T, S)-bipolar Pythagorean fuzzy medial-ideals and (T, S)-bipolar Pythagorean fuzzy BCI-ideals are given. The pre-image of bipolar Pythagorean(T, S)-fuzzy medial-ideals under homomorphism of $BCI$-algebras are defined and how the image and the pre-image of (T, S)-bipolar Pythagorean fuzzy medial ideals under homomorphism of $BCI$-algebras become (T, S)-bipolar Pythagorean fuzzy medial-ideals are studied. Moreover, the Cartesian product of (T, S)-bipolar Pythagorean fuzzy medial-ideals in Cartesian product BCI-algebras is established.
Abstract
In this paper, the concept (T, S)-bipolar Pythagorean fuzzy medial-ideals are introduced and several properties are investigated. Also, the relations between (T, S)-bipolar Pythagorean fuzzy medial-ideals and (T, S)-bipolar Pythagorean fuzzy BCI-ideals are given. The pre-image of bipolar Pythagorean(T, S)-fuzzy medial-ideals under homomorphism of $BCI$-algebras are defined and how the image and the pre-image of (T, S)-bipolar Pythagorean fuzzy medial ideals under homomorphism of $BCI$-algebras become (T, S)-bipolar Pythagorean fuzzy medial-ideals are studied. Moreover, the Cartesian product of (T, S)-bipolar Pythagorean fuzzy medial-ideals in Cartesian product BCI-algebras is established.
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