title: Evaluating the best main battle tank using fuzzy decision theory with linguistic criteria evaluation
abstract: In this paper, experts' opinions are described in linguistic terms which can be expressed in trapezoidal (or triangular) 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=[x/sub ij/]/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
keyphrases: fuzzy decision theory linguistic criteria evaluation fuzzy Delphi method fuzzy rating consensus condition fuzzy decision matrix aggregate fuzzy numbers fuzzy attribute weights battle tank evaluation fuzzy group decision making multiple criteria problems group decision making subjective-objective backgrounds trapezoidal fuzzy numbers triangular fuzzy numbers fuzzy number ranking