A STUDY ON Z-SOFT ROUGH FUZZY SEMIGROUPS AND ITS DECISION-MAKING

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.