A fuzzy multiple attribute decision making method based on possibility degree

A fuzzy multiple attribute decision making method is investigated, there the weights are given by interval numbers, the qualitative attribute values are first given by linguistic terms and then are represented as the form of triangular fuzzy numbers, and the quantitative attribute values are given by the form of triangular fuzzy numbers. A possibility degree formula for the comparison between two trapezoidal fuzzy numbers is proposed. Then, using this possibility degree formula, possibility degree matrices are built and the central dominance of one alternative outranking all other alternatives is defined under one attribute. According to the ordered weighted average (OWA) operator, an approach is presented to aggregate the possibility degree matrices based on attributes and then the most desirable alternative is selected. This fuzzy multiple attribute decision making method is used in the field of financial investment evaluation, and the set of attributes of the decision making program is built by financial analyses and accounting reports in the same industry. Finally, numerical example is provided to demonstrate the practicality and the feasibility of the proposed method.