In this paper, we study a kind of soft rough semigroups according to Shabir’s idea. We define the upper and lower approximations of a subset of a semigroup. According to Zhan’s idea over hemirings, we also define a kind of new C-soft sets and CC-soft sets over semigroups. In view of this theory, we investigate the soft rough ideals (prime ideals, bi-ideals, interior ideals, quasi-ideals, regular semigroups). Finally, we give two decision making methods: one is for looking a best a parameter which is to the nearest semigroup, the other is to choose a parameter which keeps the maximum regularity of regular semigroups.
@article{bwmeta1.element.doi-10_1515_math-2017-0119,
author = {Qiumei Wang and Jianming Zhan and R.A. Borzooei},
title = {A study on soft rough semigroups and corresponding decision making applications},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1400-1413},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0119}
}
Qiumei Wang; Jianming Zhan; R.A. Borzooei. A study on soft rough semigroups and corresponding decision making applications. Open Mathematics, Tome 15 (2017) pp. 1400-1413. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0119/