| In real decision-making systems, many of them are characterized by multilevel steps which are called as multilevel programming in mathematics model. So it is important to study the properties of it in theory and to find efficient ways to apply it in reality. The main contributions of this paper can be summarized as follows:First, the background and current state of the multilevel programming and fuzzy sets theory is given simply.Then, this paper takes a synthetic study of the linear multilevel programming problem. After the introducing of the properties of one kind of special liner multilevel programming, several algorithms which are applied to the multilevel programming problem are given. Among them, the algorithm which is presented by shih, etc is discussed particularly, in which the solving algorithm to the interactive multilevel programming problem is induced by the application of the membership function of the fuzzy sets theory to bilevel programming problem. Because it is too complex to have the goal satisfactory degree and the decision variable satisfactory degree taken into account in shih's algorithm, people merely use the goal satisfactory degree in fact. In the application, it is impossible for the decision makers to determine which value is the optimum value, so the decision variable satisfactory degree is not necessary actually. Meanwhile, the variable satisfactory degree is not taken into account because the complexity and variance in calculating accompanying with various membership variables about decision variable will arise if there are various optimum solutions in solving each level optimum solution.At the last of this paper, the solving to the assurance problem and the linear multilevel programming problem with fuzzy parameters according to the way of the interactive fuzzy programming without considering decision variable is given. The solving has the imperceptible property, it is first to bilevel, and then extends to...
|
PDF Full Text Request