On approximation operators of tolerance relation in rough neutrosophic sets model.

The rough set theory is essentially concerned with the classification mechanism and set approximations defined by an equivalence relation. There are some other investigations that extend the rough set model based on a tolerance relation. Due to the existence of uncertainty and complexity, we integrate the model of the rough set with the neutrosophic sets. It is vital to generalise the idea of tolerance relation into rough neutrosophic set theory. Some substantial tolerance properties of this hybrid structure are studied. Several extensions have been proposed in terms of approximation operators and granulation descriptions. [ABSTRACT FROM AUTHOR]