Abstract:Aiming at the fact that Z-number can simulate natural language with uncertain information, but there is no effective application method, a multiattribute decision making method with Z-number as information environment with known partial weight is proposed. Firstly, based on Z-number theory, two nonlinear models are established to calculate the potential probability of Z-number by using the relationship between fuzzy restriction and reliability restriction. Secondly, combining the cross entropy and KL divergence of fuzzy numbers, the discrete Z-number cross entropy formula is constructed, and the PROMETHEE multiattribute decision approach based on Z-number is proposed. In this method, combining the theory of outranking relation, a priority function of taking a value from 0 to 1 is established, a priority index matrix is obtained by using a priority function formula, further, the net flow is calculated, and then the schemes are sorted according to the net flow. Finally, the effectiveness and feasibility of the proposed method are illustrated by the application and analysis of an example.