document: Evaluating the best main battle tank using fuzzy decision theory with linguistic criteria evaluation In this paper , experts ' opinions are described in linguistic terms which can be expressed in trapezoidal -LRB- or triangular -RRB- fuzzy numbers . To make the consensus of the experts consistent , we utilize the fuzzy Delphi method to adjust the fuzzy rating of every expert to achieve the consensus condition . For the aggregate of many experts ' opinions , we take the operation of fuzzy numbers to get the mean of fuzzy rating , x/sub ij / and the mean of weight , w/sub . j / . In multi-alternatives and multi-attributes cases , the fuzzy decision matrix X = -LSB- x/sub ij / -RSB- / sub m * n / is constructed by means of the fuzzy rating , x/sub ij / . Then , we can derive the aggregate fuzzy numbers by multiplying the fuzzy decision matrix with the corresponding fuzzy attribute weights . The final results become a problem of ranking fuzzy numbers . We also propose an easy procedure of using fuzzy numbers to rank aggregate fuzzy numbers A/sub i / . In this way , we can obtain the best selection for evaluating the system . For practical application , we propose an algorithm for evaluating the best main battle tank by fuzzy decision theory and comparing it with other methods
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