Title of article :
A study of fuzzy soft interior ideals of ordered semigroups
Author/Authors :
Khan, A. Abdul Wali Khan University Mardan - Department of Mathematics, Pakistan , Sarmin, N. H. Universiti Teknologi Malaysia (UTM) - Faculty of Science - Department of Mathematical Sciences, Malaysia , Khan, F. M. Universiti Teknologi Malaysia (UTM) - Faculty of Science - Department of Mathematical Sciences, Malaysia , Davvaz, B. yazd university - Department of Mathematics, يزد, ايران
Abstract :
In this paper, we present the concepts of a fuzzy soft left (right) ideal and fuzzy soft interior ideal over an ordered semigroup S . Some basic results of fuzzy soft left (right) ideals and fuzzy soft interior ideals are investigated and the supported examples are provided. Different classes, regular, intra-regular, and simple ordered semigroups are characterized by means of fuzzy soft left (right) ideals and fuzzy soft interior ideals. It is shown that an ordered semigroup is simple if and only if it is fuzzy soft simple. Furthermore, left (right) regular and intra regular ordered semigroups are characterized by means of fuzzy soft left (right) ideals and fuzzy soft ideals.
Keywords :
Ordered semigroups , regular (left, right and completely regular) ordered semigroups , fuzzy left (right) ideals , fuzzy interior ideals , soft left (right) ideals , soft interior ideals , fuzzy soft left (right) ideals , fuzzy soft interior ideals
Journal title :
Iranian Journal of Science and Technology Transaction A: Science
Journal title :
Iranian Journal of Science and Technology Transaction A: Science
