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Proceedings of Annual Conference of China Institute of Communications (CIC 2009 E-BOOK)

Guangzhou,China,11.26-11.27,2009 E-Book 604pp

ISBN: 978-1-935068-10-5 Pub. Date: March 2010

Scientific Research Publishing, USA

Category: Computer Science & Communications

Price: $80

Title: Negative Implicative BCK-Algebras
Source: Proceedings of Annual Conference of China Institute of Communications (CIC 2009 E-BOOK) (pp 273-276)
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
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.