Multi-criteria decision making on lattice ordered multisets

Abstract

The crucial aspect of a multiset is the recurrence of its objects which we get it from a set and it is a new interesting mathematical notion. In this paper, lattice theory is applied to the multiset in context. We introduce a new concept for sorting things, demonstrated with lots of quantitative and qualitative attributes, and may endure in several copies. We then investigate few of the properties relevent to them. Moreover, we propose 0 and 1 as multiset depiction and identify how they play an application role in the lattice (anti-lattice) ordered multisets, where some sorting exists amid the attributes are analysed.