Multiset filters of residuated lattices and its application in medical diagnosis

Residuated lattices are algebraic frameworks with crucial bond to mathematical logic. A multiset is a collection that bearing repetition of objects in it. In this paper, the notion of multisets is applied to filters of residuated lattices and introduced the new concept of multiset filters. The relation between multiset filters and their n-level sets is showed and some principal characterizations of multiset filter are discussed. Furthermore, as an application of the proposed concept, a decision making problem is presented.