Abstract: Aiming at the error of idempotent property of the covering rough Vague sets in paper [21]，a new covering rough Vague sets model based on neighbor domain was proposed. This paper discussed some related properties and relationship with the first covering rough Vague sets. Finally, we defined a uncertainty measurement method for covering rough Vague sets based on knowledge entropy in covering granular space. Example analysis shows that the uncertainty degree of the second covering rough Vague sets decreases with the decrease of the granularity.

Key words: Covering, Rough Vague sets, Knowledge entropy, Uncertainty