On softmultiset filter of a residuated lattices and its application in decision making problem

In this work, the study on new theoretical developments and links between the residuation and the hyperstructure called softmultisets is focused. The relation between softset filter and softmultiset had been exposed. The concepts of softmultiset filter of a residuated lattice is introduced and many of its results are established. Following this an application of softmultiset filter in a decision making problem is presented. MSC 2010: 06B10 ; 06D72; 08A72.