Hesitant fuzzy ideals in semigroups with a frontier Talee Aakif Fairooze*, Abassi M.Y., Khan Sabahat Ali Department of Mathematics, Jamia Millia Islamia, New Delhi, India *E-mail: fuzzyaakif786.jmi@gmail.com
AMS Mathematics Subject classification (2010) 20M12, 20M99, 08A72 Online published on 1 August, 2017. Abstract We introduce the notions of ε-hesitant fuzzy ideal, ε-hesitant fuzzy bi-ideal and ε-hesitant fuzzy interior ideal on semigroup and characterizations of a hesitant fuzzy ideal(bi-ideal, interior ideal) with a frontier are considered and provide a condition for a special set to be an ideal. We provide an example to show that ε-hesitant fuzzy ideal on semigroup may not be hesitant fuzzy ideal. Moreover, we show that the hesitant intersection of two hesitant fuzzy left (right, bi-, interior) ideal with frontier is a hesitant fuzzy left(right, bi-, interior) ideal respectively with frontier. Top Keywords ε-hesitant fuzzy semigroup, ε-hesitant fuzzy ideal. Top |