Linguistic-Valued Lattice-Valued 2-Tuple Representation Model

Combining with the linguistic-valued lattice implication algebra, we propose a multi-attribute decision making method based on the linguistic-valued lattice-valued 2-tuple representation model. The representation and operation of linguistic-valued lattice-valued 2-tuple are defined. Considering the problem of the aggregation of linguistic-valued lattice-valued, we propose two aggregation operators for linguistic-valued lattice-valued 2-tuple, that is, the arithmetic average operator and the weighted average operator of the linguistic-valued lattice-valued 2-tuple. The aggregation of linguistic-valued lattice-valued 2-tuple can implement to reduce the loss of the linguistic-valued lattice-valued in the aggregation process. The effectiveness and feasibility are illustrated by an example of multi-attribute decision making of business investment in this paper.