Linguistic-valued lattice implication algebra TOPSIS method based on entropy weight method

Abstract

In order to solve the multi-attribute group decision-making problems, which the attribute weight is unknown and the index value of the alternative is linguistic-valued lattice implication algebra(LV(n×2)). This paper proposes a linguistic-valued lattice implication algebra TOPSIS method based on entropy weight method. We study the distance between the linguistic-valued on Lv(n×2) and their properties. Based to Lv(n×2) puts forward the Euclidean distance and weighted Euclidean distance get the similarity between the linguistic-valued on Lv(n×2). The weight of the attributes are determined according to the Lv(n×2) entropy method, and the alternatives are compared and ordered by TOPSIS method. The feasibility and validity of the method are verified by case analysis.