The notion of a (closed) double-framed soft ideal (briefly, a (closed) DFS-ideal) in BCK/BCI-algebras is introduced, and related properties are investigated. Several examples are provided. The relation between a DFS-algebra and a DFS-ideal is considered, and characterizations of a (closed) DFS-ideal are established. A new DFS-ideal from old one is constructed, and we show that the int-uni DFS-set of two DFS-ideals is a DFS-ideal. Conditions for a DFS-ideal to be closed are discussed.
Bae Jun, Young; Muhiuddin, G.; and M. Al-roqi, Abdullah
"Ideal Theory of BCK/BCI-algebras Based on Double-framed Soft Sets,"
Applied Mathematics & Information Sciences: Vol. 07:
5, Article 26.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss5/26