Abstract :
Rough Nelson algebras (rough sets systems) and UL* - algebras arose in two rather different fields: rough sets and fuzzy sets. In present paper, a pair of implication operator (rarrL, rarrG) is introduced using the method by G. Cattaneo and D. Ciucci, and the relationship between rough Nelson algebras (rough sets systems) and UL* - algebras is established as following: the rough nelson algebras (rough sets systems) with (rarrL, rarrG) make a UL* - algebras. Moreover, some properties of semi-simple Nelson algebra are investigated.