n元半群的软集理论

Soft Sets Theory of n-ary Semigroups

将软集理论应用于n元半群中,得到了软n元半群的概念,结合软集的运算性质来研究软n元半群的运算性质,并给出软n元半群同态的定义,通过n元半群的软集象与原象的概念讨论了软n元半群的相关性质.

In this paper ,we apply the theory of soft sets to n-ary semigroups .The notions of soft n-ary semigroups ,soft n-ary semigroup homomorphisms , image and inverse image of soft set on n-ary semig-roups are introduced .We discuss several operations on soft n-ary semigroups and give some related prop-erities of soft n-ary semigroup homomorphisms .