Muhiuddin G, Feng Feng, Jun Young Bae
Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia.
Department of Applied Mathematics, School of Science, Xian University of Posts and Telecommunications, Xian 710121, China.
ScientificWorldJournal. 2014;2014:458638. doi: 10.1155/2014/458638. Epub 2014 May 8.
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.
介绍了基于P序和R序的立方软集的“与”运算和“或”运算，并研究了一些相关性质。给出一个例子来说明两个内部立方软集的R并可能不是内部的。提供了一个充分条件，以确保两个内部立方软集的R并也是内部的。此外，还讨论了基于给定参数的BCK/BCI代数的立方软子代数的一些性质。
