Dynamic multi-attribute decision making based on advantage retention degree

This paper investigates the Dynamic Multi-attribute Decision Making (DMADM) problems, in which all the attribute values provided by decision maker at different periods take the form of triangular fuzzy linguistic variables, and develops an interactive method to solve the DMADM problems. The notions of triangular fuzzy number and calculation formula for possibility-degree of triangular fuzzy number based on area proportion are defined. According to the logic continuity of decision results at adjoining periods, the concept of retain ability is described. The developed method firstly aggregates the attribute value to construct a possibility-degree matrix by using the Triangular Fuzzy Language Weighted Averaging (TFLWA) operator, then calculates the dynamic ordering vector based on Advantage Retention Degree (ARD) at different periods. After that, the method ranks the alternatives in accordance with the values of final dynamic ordering vector based on ARD, so that the optimal alternative can be selected. Finally, an illustrative example is given to verify the developed approach and demonstrate its practicality and effectiveness. © 2013 by Binary Information Press.