Soft ordered semigroups

摘要

Molodtsov introduced 1999 the concept of soft set as a new mathematical tool for dealing with uncertainties thatis free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notionof soft sets by Molodtsov to ordered semigroups. The notions of (trivial, whole) soft ordered semigroup, softordered subsemigroup, soft left (right) ideal, and left (right) idealistic soft ordered semigroup are introduced,and various related properties are investigated.