Volume 34 • Number 2 • 2011   • Positive Implicative Ideals of BCK-Algebras Based on a Soft Set Theory Young Bae Jun, Hee Sik Kim and Chul Hwan Park 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. 2010 Mathematics Subject Classification: 06D72, 06F35, 03G25. Full text: PDF