Generalized soft intuitionistic fuzzy rough sets determined by a pair of intuitionistic fuzzy implicators

In present paper, we devote to present a generic approach to the intuitionistic fuzzy soft sets. Firstly, we obtain a broad family of soft intuitionistic fuzzy rough sets, where (ε, F)-soft intuitionistic fuzzy rough set is constructed by a pair of intuitionistic implicators (ε, F). Then, we prove that (ε, F)-soft intuitionistic fuzzy rough sets in our work are equivalent to (ε, K)-intuitionistic fuzzy rough sets of Zhou et al. by using a K-equivalence intuitionistic fuzzy relation. Lastly, we explore an example to prove the approach of present paper.