%0 Journal Article %A Wang, Qiumei %A Zhan, Jianming %A Ali, Muhammad Irfan %A Mehmood, Nayyar %D 2018 %I Begell House %K Z-soft rough fuzzy set, Z-soft rough fuzzy semigroup, Z-soft rough fuzzy ideal, decision-making %N 1 %P 1-22 %R 10.1615/Int.J.UncertaintyQuantification.2017021012 %T A STUDY ON Z-SOFT ROUGH FUZZY SEMIGROUPS AND ITS DECISION-MAKING %U https://www.dl.begellhouse.com/journals/52034eb04b657aea,215dae1860d04f34,0c569f166a3f8538.html %V 8 %X The hybrid soft set model is an important topic dealing with uncertain information. In this article, we firstly introduce the concept of Z-soft rough fuzzy sets of a semigroup, and obtain some basic operations about the upper (lower) approximations. Next, we give the definition of Z-soft rough fuzzy semigroups and study related properties. Particularly, we form an approach which is built on the basis of Z-soft rough fuzzy sets of a semigroup for decision-making, and we also give an example to test the validity of the approach. Finally, we compare the performance of three algorithms for decision-making, stated in terms of hybrid soft set models, inclusive of our Z-soft rough fuzzy sets. We use computer simulations in a medical environment with Matlab programs that are provided in an Appendix. %8 2018-02-15