Abstract: In this paper, we proposed the notion of single valued
neutrosophic hesitant fuzzy rough set, by combining single valued
neutrosophic hesitant fuzzy set and rough set. The combination
of single valued neutrosophic hesitant fuzzy set and rough set
is a powerful tool for dealing with uncertainty, granularity and
incompleteness of knowledge in information systems. We presented
both definition and some basic properties of the proposed model.
Finally, we gave a general approach which is applied to a
decision making problem in disease diagnoses, and demonstrated the
effectiveness of the approach by a numerical example.