Roughness in ordered Semigroups
Muhammad Shabir, Shumaila Irshad · 2013
Abstract. In this paper we initiated the study of roughness in ordered semigroups based on pseudoorder. We introduced the notions of upper (lower) rough ideal, bi-ideal, prime ideal and also the notions of upper (lower) rough fuzzy ideal, rough prime fuzzy ideal in ordered semigroups. We studied some properties of such ideals. Key words and phrases. Upper (lower) rough ideal, upper (lower) rough bi-ideal, upper (lower) rough fuzzy ideal, upper (lower) rough prime fuzzy ideal. ______________________________________________________________________________ 1.