Abstract: It helps to summarize evaluation experiences to compute the contrary problem of fuzzy comprehensive evaluation,which possesses wide practical value.At present,the common method for solving the problem is an experiential enumerating optimization method,whose results relate to personal experience and enumerating number.Therefore,in this paper,the contrary problem is equivalent to a nonlinear optimization problem which includes maximum and minimum operation,whose objective function is the close degree function between two fuzzy sets and optimized variables are weight fuzzy set.The optimization problem can be resolved by using a scheme based on accelerating genetic algorithm developed by the authors.The result of the example analysis shows that the scheme is simple,effective and universal,and that the computation precision of the scheme is higher than one of the enumerating optimization method.The scheme takes on important value in both theory and practice of fuzzy comprehensive evaluation.

Key words: fuzzy comprehensive evaluation, contrary prolem, genetic algorithm, optimization