Cubic soft sets with applications in BCK/BCI-algebras

نویسندگان

  • G. Muhiuddin
  • Abdullah M. Al-roqi
چکیده

The concepts of (internal, external) cubic soft sets, P-cubic (resp. R-cubic) soft subsets, R-union (resp. R-intersection, P-union, Pintersection) of cubic soft sets, and the complement of a cubic soft set are introduced, and several related properties are investigated. We apply the notion of cubic soft sets to BCK/BCI-algebras, and introduce the notion of cubic soft BCK/BCI-algebras. A characterization of cubic soft BCK/BCI-algebras is provided, and we prove that the R-intersection of two cubic soft BCK/BCI-algebras is also a cubic soft BCK/BCI-algebra. 2010 AMS Classification: 06F35, 03G25, 06D72

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تاریخ انتشار 2014