@article { author = {Khan, R. and Khan, A. and Ahmad, B. and Gul, R.}, title = {GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS}, journal = {Journal of Algebraic Systems}, volume = {7}, number = {1}, pages = {69-82}, year = {2019}, publisher = {Shahrood University of Technology}, issn = {2345-5128}, eissn = {2345-511X}, doi = {10.22044/jas.2018.6240.1310}, abstract = {For all M,N∈P(U) such that M⊂N, we first introduced the definitions of (M,N)-uni-soft ideals and (M,N)-uni-soft interior ideals of an ordered semigroup and studied them. When M=∅ and N=U, we meet the ordinary soft ones. Then we proved that in regular and in intra-regular ordered semigroups the concept of (M,N)-uni-soft ideals and the (M,N)-uni-soft interior ideals coincide. Finally, we introduced (M,N)-uni-soft simple ordered semigroup and characterized the simple ordered semigroups in terms of (M,N)-uni-soft interior ideals.}, keywords = {Soft sets,N)-uni-soft ideal,(M,N)-uni-soft interior ideals}, url = {https://jas.shahroodut.ac.ir/article_1440.html}, eprint = {https://jas.shahroodut.ac.ir/article_1440_9fb818b35cb4a812855afbc3bd816fd1.pdf} }