ALGEBRAIC HYPERSTRUCTURES OF SOFT SETS ASSOCIATED TO N-ARY POLYGROUPS

Abstract

This paper concerns a relationship between soft sets and n-arypolygroups. We consider the notion of an n-ary polygroup as a generalization ofa polygroup and apply the notion of soft sets to n-ary polygroups. Some relatednotions are defined and several basic properties are discussed by using the softset theory. Furthermore, we propose the homomorphism of n-ary polygroupsand investigate the properties which are preserved under the homomorphism