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Bipolar Fuzzy Implicative Ideals of BCK-Algebras

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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.
Title: Bipolar Fuzzy Implicative Ideals of BCK-Algebras
Description:
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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