The fierce competition and the globalization of the market economy urge manufacturing organizations to adopt advanced manufacturing paradigms for sustaining in the global markets. Supply chain management is an essential ingredient of advanced manufacturing systems and finding those partners with the best fit to the existing supply chain is a vital issue concerned in the process of managing supply chains. Due to the decision maker’s knowledge field and the nature of evaluated attributes, assessments are always with different formats, which were first unified into the linguistic terms in the standard linguistic set. Two additive fuzzy measures were used to model criteria interactions by pairs and to derive the special expressions of Marichal entropy and Choquet integral, which is more convenient to use in practice. Fuzzy measures were identified based on the maximum of Marichal entropy. The decision making procedure was illustrated taking an automobile manufacturing industry as an example, compared with the other methods, and showed the feasibilities and advantages. The inadequacies as well as the further research directions were proposed.