The Linear Programming Of Intuitionistic Fuzzy Sets And Multiattribute Decision Making In Intuitionistic Fuzzy Setting

For the problem of intuitionistic fuzzy sets,In this paper, we study two questions which are the linear programming of intuitionistic fuzzy sets and attitude concentrated order solve intuitionistic fuzzy multi-attribute problem.For optimization problem whose object function is linear function,constraint is intuitionistic fuzzy relation equation. In order to solve maximum solution and minimum solution of intuitionistic fuzzy relation equation, for special structure of the feasible region, the method of up milling,level milling down milling to coe?cient matrix is provided. For intuitionsitic fuzzy multi-attribute decision-making problem, whose weights of attribute are not entirely sure.Comparing the size of intuitionistic fuzzy value which is belong to the decision matrix, This step is on the basia of score function and accuracy function of intuitionistic fuzzy numbers, and arranged programs in the sequence according to every property,then we can get the sorting of plans by scoring method and Blin method.The framework of this paper are following.The ?rst chapter mainly introduces the background knowledge and recent research for intuitionistic fuzzy sets;and introduce some basic symbols and de?nitions.The second chapter o?ers a matrix operation method solving a class of intuitionistic fuzzy relation equation with the maximum and minimum operator,and apply to solving linear programming.The third chapter introduces multi-attribute decision-making problem, whose weights of attribute are not entirely sure.Giving two methods to establish multiobjective programming and obtain attribute weights,then we get the best program by ranking programs.The forth chapter summarizes the conclusions obtained in this paper and puts forward problem remaining to be solved.