Subalgebras of BCK/BCI-algebras based on cubic soft sets

Abstract

Operations of cubic soft sets including "AND" operation and "OR" operation based on P -orders and R -orders are introduced and some related properties are investigated. An example is presented to show that the R -union of two internal cubic soft sets might not be internal. A sufficient condition is provided, which ensure that the R -union of two internal cubic soft sets is also internal. Moreover, some properties of cubic soft subalgebras of BCK/BCI-algebras based on a given parameter are discussed. © 2014 G. Muhiuddin et al.