A mapping whose real number interval [0,1] on the codomain is called a fuzzy set. Fuzzy theoryis widely applied in algebraic structures. A bipolar fuzzy theory is developed from fuzzy theory which ismapping to real number interval[-1,1]. Bipolar fuzzy set is a pair of two fuzzy sets, called membership functionand non-membership functions, respectively represented by positive and negative value. As well as fuzzy theory,bipolar fuzzy also applied in several algebraic structures, one of which is k-algebra. An algebraic structurewhich is built from group G and fulfilling several axioms is called k-algebra. Bipolar anti fuzzy is developedfrom the bipolar fuzzy theory. In this paper, we introduces the notion of a bipolar fuzzy translation, bipolarfuzzy extention, and bipolar fuzzy multiplication on bipolar anti fuzzy ideals of k-algebra.
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