An algebra A is tolerance trivial if Tol A = ConA where Tol A is the lattice of all tolerances on A. If A contains a Mal'cev function compatible with each T Tol A, then A is tolerance trivial. We investigate nite algebras satisfying also the converse statement. Let R be a binary relation on a set A and f be an n-ary function on A. We say that f is compatible with R or that R is compatible with ...

In this paper, we introduce the concept of neutrosophic BCI/BCKalgebras. Elementary properties of neutrosophic BCI/BCK algebras are presented. AMS (2010): 03B60, 03G25, 06F35.

The notion of intersectional soft sets is introduced, and several examples are given. The application of intersectional soft sets to BCK/BCI-algebras is discussed.