2009•Unpublished venueRequires access

Bipolar fuzzy subalgebras and bipolar fuzzy ideals of BCK/BCI-algebras

Malaysian Mathematical, Kyoung Ja Lee

Abstract

Abstract. The notion of bipolar fuzzy subalgebras and bipolar fuzzy ideals of a BCK/BCI-algebra is introduced, and several properties are investigated. Relations between a bipolar fuzzy subalgebra and a bipolar fuzzy ideal are given. A condition for bipolar fuzzy subalgebra to be a bipolar fuzzy ideal is provided, and the characterizations of a bipolar fuzzy ideal are stated. The concept of equivalence relations on the family of all bipolar fuzzy ideals of a BCK/BCI-algebra is considered, and some related properties are discussed.

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Key concepts: Mathematics, Fuzzy subalgebra, Fuzzy logic, Algebra over a field, Subalgebra, Equivalence (formal languages), Ideal (ethics), Fuzzy set