Title of article :
Positive Implicative Ideals of BCK-Algebras Based on a Soft Set Theory
Author/Authors :
Jun, Young Bae Department of Mathematics Education (and RINS) - Gyeongsang National University, Chinju 660–701, Korea , Kim, Hee Sik Department of Mathematics Hanyang University, Korea , Park, Chul Hwan School of Digital, Mechanics, Ulsan College, Namgu, Korea
Abstract :
Molodtsov [8] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of BCK-algebras. The notions of positive implicative soft ideals and positive implicative idealistic soft BCK-algebras are introduced, and their basic properties are derived.
Keywords :
(Positive implicative) ideal , soft BCK , algebra , (positive implicative) idealistic soft BCK , algebra , positive implicative soft ideal
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
