BIPOLAR (T,S)-FUZZY MEDIAL IDEAL OF BCI-ALGEBAS
Authors : Samy Mohammed Mostafa, Abdelaziz Elazab Radwan, Amany El-menshawy, Reham Ghanem
Pages : 22-39
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Publication Date : 2015-11-01
Article Type : Research
Abstract :In this paper, the concept bipolar (T,S)- fuzzy medial-ideals are introduced and several properties are investigated .Also, the relations between bipolar (T,S)- fuzzy medial-ideals and bipolar (T,S)- fuzzy BCIideals are given .The image and the pre-image of bipolar (T,S)- fuzzy medial-ideals under homomorphism of BCI-algebras are defined and how the image and the pre-image of bipolar (T,S)- fuzzy medial-ideals under homomorphism of BCI-algebras become bipolar (T,S)- fuzzy medial-ideals are studied. Moreover, the Cartesian product of bipolar (T,S)- fuzzy medial-ideals in Cartesian product BCI-algebras is establishedKeywords : Medial BCI-algebra, fuzzy medial-ideals, bipolar (T, S)-fuzzy medial-ideals, the pre-image of bipolar (T, S)- fuzzy medial-ideals in BCI-algebras, Cartesian product of bipolar (T, S)-fuzzy medial-ideals