A study of fuzzy soft interior ideals of ordered semigroups

Document Type: Regular Paper

Authors

1 Abdul Wali Khan University

2 Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

3 Department of Mathematics, Yazd University Yazd, Iran

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