Programming method of multi-criteria decision-making based on intuitionistic fuzzy number with incomplete certain information

Abstract

Intuitionistic fuzzy numbers,intuitionistic trapezoidal fuzzy numbers and their expected values are defined.For multi-criteria decision making problems,in which the information on criteria's weights is incomplete and the criteria values are intuitionistic trapezoidal fuzzy numbers,a programming method of intuitionistic trapezoidal fuzzy multi-criteria decision making with incomplete certain information on weights is proposed.By using the incomplete information of criteria weight coefficient,the optimized linear programming of alternatives' integrated expected values is constructed.By solving the linear programming,the optimized criteria weight coefficients are attained.Then,interval numbers of the alternatives' integrated expected values are attained.The ranking of the whole alternatives set can be obtained by comparing interval numbers of the alternatives' integrated expected values using possibility degree method.An example analysis shows the feasibility and effectiveness of the method.