Research On The Methods Of Multiple Attribute Decision Making Based On Trapezoid Fuzzy Linguistic Variables

Multiple attribute decision making is the important part of decision theory, which is widely used in many fields of the society. And the expression of attribute value is the important component of the research of multiple attribute decision making. Because of the complexity of objective things and the fuzzy of human thinking, the people can not commonly give certain decision information, but give that by fuzzy linguistic form when they evaluate the comprehensive quality or performance of objective things. Trapezoid fuzzy linguistic variables can express and deal with more fuzzy uncertain information, and it has more strong ability of information expression. So it has an important significance for the research of multiple attribute decision making problems based on trapezoid fuzzy linguistic variables. This paper will research these problems.Firstly a distance formula of trapezoid fuzzy linguistic variables is proposed based on the conception, operational laws and properties of them, and this distance will combine with multiple attribute decision making methods to make decision. Then a TFLWGA is proposed based on the study of aggregation operator; and a TFLHHA is also proposed based on the definition of TFLWHA and TFLOWHA to make decision. At last, the multiple attribute decision making problems based on trapezoid fuzzy linguistic variables with uncertain weight information; Aiming to the state of complete uncertain weight, a model of deviation maximization is constructed to obtain the formula of solving weight; Aiming to the state of part certain weight, a single-objective optimization model is constructed, then to obtain the weight by program solution.