Research on Two-Dimensional Semantic Evidential Reasoning Decision Method in Different Frame

Abstract

Two-dimensional linguistic information has some unique advantages in the expression on the quality of decision-making information. In this paper, an extended 2-dimesional linguistic information decision making method is proposed, where the information is defined on different frameworks. Firstly, the second dimensional linguistic is defined as a fuzzy linguistic label, which can be quantified through the barycentre of the fuzzy number, and the two-dimensional linguistic information can be expressed by evidence body with weights. Then, two-dimensional linguistic information is considered as two-dimensional progressive framework, and the two-dimensional linguistic information in different frames is uniformed through the definition of framework equivalent and the method of uniformity of the evidence bodies in different frames. After then, multiple two-dimensional linguistic information in different frames can be integrated by the evidence reasoning combination rules. Finally, an example is given to test the effectiveness of the method.