Applications of multisets in filter theory of residuated lattices

Abstract

A multiset is a collection of elements whose repetition is significant. Residuated lattices are a generalization of the structure of the set of ideals of a ring. The concept of multiset filters of residuated lattices was introduced by Vimala J. et.al.,[2]. In this paper, we introduce the notions of multiset  R  (obstinate, prime, ultra, normal) filters of residuated lattices. Moreover we derive their many important characterizations and the following common properties