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Author(s): |
Qiuna Zhang, Hebei Polytechnic University College of Light Industry, Tangshan, China Cuilan Mi, Hebei Polytechnic University College of Science, Tangshan, China Xinchun Wang, Hebei Polytechnic University College of Science, Tangshan, China Yuhuan Cui, Hebei Polytechnic University College of Light Industry, Tangshan, China Yongli Zhang, Hebei Polytechnic University College of Light Industry, Tangshan, China |
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Abstract: |
The notion of BCK-algebras was formulated first in 1966 by K. Iséki, Japanese, Mathemation. The notion of positive implicative BCK-algebras was introduced by K. Iséki in 1975. In previous studies, scholars gave the definition of the positive implicative BCK-algebras, its characterizations and the relationship between other BCK-algebra, but it does not give the definition of the negative implicative BCK-algebras, thus in this article, we will give a definition of negative implicative BCK-algebra as well as some characterizations.
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