A method of fuzzy multiple attribute decision making based on the error-eliminating theory

This paper applies the error-eliminating theory to create a new method for fuzzy multiple attribute decision-making problems whose attribute values contain interval numbers, triangular fuzzy numbers, and trapezoidal fuzzy numbers. First, the concepts of error, loss, and extreme loss are discussed in the context of fuzzy multiple attribute decision-making problems combined with error-eliminating theory. Second, the error function is constructed, and the extreme loss value is calculated based on decision makers’ psychological threshold interval and error types. Third, the attribute loss value is calculated through error values and extreme loss values based on the decision makers’ psychological characteristics of loss aversion. And then, the overall loss value of alternatives is obtained by the attribute loss value. Finally, the ranking and selection of alternatives are conducted based on the overall loss value. Using the practical example of the location of agricultural products’ logistics center, the rationality and scientificity of this study are illustrated by comparing the decision-making method proposed in this paper with three other methods.