BIPOLAR FUZZY IMPLICATIVE HYPER BCK-IDEALS IN HYPER BCK-ALGEBRAS

Abstract

Bipolar-valued fuzzification of the notion of implicative hyper BCK-ideals is considered. Using the concepts of positive and negative lever sets, a characterization of a bipolar fuzzy implicative hyper BCK-ideal is provided. A relation between a bipolar fuzzy hyper BCK-ideal and a bipolar fuzzy implicative hyper BCK-ideal is established. A condition for a bipolar fuzzy hyper BCK-ideal to be a bipolar fuzzy implicative hyper BCK-ideal is given. By using a collection of implicative hyper BCK-ideals, a bipolar fuzzy implicative hyper BCK-ideal is established.