Abstract
AbstractMolodtsov's soft set theory provides a general mathematical framework for dealing with uncertainty. This paper aims to put forward a new soft set–(M,N)-soft intersection set, which is a generalization of soft intersection sets. We introduce (M, N)-S I (implicative) filters of R0-algebras. Some characterizations of these kinds of filters are established. In particular, we discuss the properties of (M,N)-soft congruences in R0-algebras. It can lay a foundation for providing a new soft algebraic tool in considering many problems that contain uncertainties.
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