Matrix representation of operations of soft partial orderings on a generalized soft poset

Abstract

A soft set is a parametrized family of subsets of an initial universal set. Soft set theory is a generalization of fuzzy set theory and is a mathematical tool for dealing with uncertainty and vagueness. Posets are used in many applications of Mathematics and Computer Science. Matrix representations are more applicable for handling data in computer programs. In this paper, we introduce the ordinary matrix representation of a soft relation, soft matrix representation of soft partial ordering and operations of soft partial orderings on a generalized soft poset.