Abstract
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’s 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.
Highlights
The shipborne weapon system has became more enormous, more complex and more expensive to cope with increasing surface and air threat, which will conflict with relatively skimpy military budget and limited loadage capability
Multiple attributes decision making (MADM) methods have been applied in the integration of many weapon system
The fifth section provides an illustrative example of naval gun weapon system integration as a case study on the method of inferring ELECTRE- ɜ ’ s parameters
Summary
The shipborne weapon system has became more enormous, more complex and more expensive to cope with increasing surface and air threat, which will conflict with relatively skimpy military budget and limited loadage capability. Sensitivity analysis has its disadvantage of requiring an ‘estimated’ center value for each parameter and only considering the corresponding solution. Robustness analysis considers parameters combination rather than a single parameter at a time It tries to know whether the conclusion changes (or not) when the parameter values vary, rather than how the parameters vary without changing conclusions. A frame of robustness analysis method based on classical optimization theory is presented, which is applied in inferring ELECTRE-ɜ’s parameters in the fourth section. The fifth section provides an illustrative example of naval gun weapon system integration as a case study on the method of inferring ELECTRE- ɜ ’ s parameters. The Ref.[8] only provided a frame work on inferring ELECTRE-ɜ’ s parameters and didn’t discuss how to solve it
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