Fuzzy Chance Constrained Multi-objective DEA Model Research

Our world may be regarded as a huge complex system. Among the system, there are a lot of uncertain and indefinite factors. So these factors must be given more attention when we apply the mathematical tools to our research on the system. Because of the two hypotheses during the data collection, the results that Classical DEA models deal with the problems with uncertain and indefinite factors are unbelievable.The application of the fuzzy chance constrained theory to the DEA model's research is a supplement to the classical DEA models. According to management and behavior theory, reference [3] established the concept of base efficiency. Referring to P, N programming, two fuzzy chance constrained DEA models based on P, N measure, FCCPDEA, FCCNDEA are proposed, which handle fuzzy uncertainty with confidence level. But the base efficiency is a figure given subjectively, it raises the risk of the results' inaccuracy.For the purpose of reduce the risk of the results' inaccuracy, this article established two fuzzy chance constrained multi-objective DEA models based on the FCCPDEA, FCCNDEA and the fuzzy chance constrained multi-objective programming. The aims of the models are find a minimum one among the confidence levels that meet all the constraints based on different base efficiency. In addition, this article gives a solution of fuzzy chance constrained multi-objective DEA model. Zimmermann's fuzzy solution of multi-objective...