Chain-forming of Lattice-Ordered Preference Structure

Abstract

Based on lattice-ordered preference structure, in this article, we show that the elements in the same layer are incomparable with each other under lattice order relation, and further, all subsets consisting of the elements in the same layer are subject to chain structure under the original preference relation. Hence, we propose a decision-making method to classify the lattice order alternatives according to the above chain structure. This method shows its high feasibility in practice.