Bipolar Fuzzy Implicative Ideals of BCK-Algebras | Zendy

G. Muhiuddin | Zendy; Deena Al-Kadi | Zendy

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Bipolar Fuzzy Implicative Ideals of BCK-Algebras

Author(s) -

G. Muhiuddin,

Deena Al-Kadi

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6623907

Subject(s) - mathematics , ideal (ethics) , fuzzy logic , extension (predicate logic) , property (philosophy) , fuzzy set , algebra over a field , fuzzy subalgebra , set (abstract data type) , pure mathematics , relation (database) , discrete mathematics , fuzzy number , data mining , artificial intelligence , computer science , law , philosophy , epistemology , political science , programming language

The notion of bipolar fuzzy implicative ideals of a BCK-algebra is introduced, and several properties are investigated. The relation between a bipolar fuzzy ideal and a bipolar fuzzy implicative ideal is studied. Characterizations of a bipolar fuzzy implicative ideal are given. Conditions for a bipolar fuzzy set to be a bipolar fuzzy implicative ideal are provided. Extension property for a bipolar fuzzy implicative ideal is stated.

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