Research on Inferring ELECTRE-III´s Parameters with Fuzzy Information and a Case on Naval Gun Weapon System Integration

Multiple attributes decision making (MADM) method is an important measure for system integration. Robustness analysis on MADM is a hotspot in these years which wins academe´s great attention, and is supposed to be an effective way when countering imperfect information. Setting parameters in ELECTRE-III is a vital and difficult step. In this paper, a method of inferring ELECTRE-III´s parameters with fuzzy information based on robustness analysis is presented. First, ELECTRE-III is transformed into a continuous smooth function of each parameter vector. Then, robustness analysis structure and a parameters inferring algorithm are provided by maximizing robustness margin based on mathematics programming. Moreover, how to resolve the programming problem is also discussed. At last, a illustrative example of naval gun weapon system Integration is put forward.