In this paper, we propose an interactive method for solving the multilevel linear programming problems based on the intuitionistic fuzzy set theory. Firstly, the membership function and the non-membership function are...In this paper, we propose an interactive method for solving the multilevel linear programming problems based on the intuitionistic fuzzy set theory. Firstly, the membership function and the non-membership function are introduced to describe the uncertainty of the decision makers. Secondly, a satisfactory solution is derived by updating the minimum satisfactory degrees with considerations of the overall satisfactory balance among all levels. In addition, the steps of the proposed method are given in this paper. Finally, numerical examples illustrate the feasibility of this method.展开更多
By applying Kuhn-Tucker condition the quadratic bilevel programming, a class of bilevel programming, is transformed into a single level programming problem, which can be simplified by some rule. So we can search the o...By applying Kuhn-Tucker condition the quadratic bilevel programming, a class of bilevel programming, is transformed into a single level programming problem, which can be simplified by some rule. So we can search the optimal solution in the feasible region, hence reduce greatly the searching space. Numerical experiments on several literature problems show that the new algorithm is both feasible and effective in practice.展开更多
In order to meet the requirement of separating power plants from power network and that of the competition based power transaction in power market,the pricing decision support system for generation companies(GCPDSS)is...In order to meet the requirement of separating power plants from power network and that of the competition based power transaction in power market,the pricing decision support system for generation companies(GCPDSS)is built in electricity market.This paper introduces the conception of intelligent decision support system(IDSS)and puts emphasis on the systematical structural framework,work process,design principal,and fundamental function of GCPDSS.The system has the module to analyze the cost,to forecast the demand of power,to construct the pricing strategies,to manage the pricing risk,and to dispatch giving the pricing strategies.The case study illustrates that the friendly window-based user interface of the system enables the user to take full advantage of the capabilities of the system in order to make effective real-time decisions.展开更多
基金Supported by the National Natural Science Foundation of China(71471140,71171150,71103135)
文摘In this paper, we propose an interactive method for solving the multilevel linear programming problems based on the intuitionistic fuzzy set theory. Firstly, the membership function and the non-membership function are introduced to describe the uncertainty of the decision makers. Secondly, a satisfactory solution is derived by updating the minimum satisfactory degrees with considerations of the overall satisfactory balance among all levels. In addition, the steps of the proposed method are given in this paper. Finally, numerical examples illustrate the feasibility of this method.
基金Supported by the National Natural Science Foundation of China (70371032,60574071)
文摘By applying Kuhn-Tucker condition the quadratic bilevel programming, a class of bilevel programming, is transformed into a single level programming problem, which can be simplified by some rule. So we can search the optimal solution in the feasible region, hence reduce greatly the searching space. Numerical experiments on several literature problems show that the new algorithm is both feasible and effective in practice.
基金National Natural Science Foundation(No.60274048)Hebei Province Natural Science Foundation(No.2001ABB047)
文摘In order to meet the requirement of separating power plants from power network and that of the competition based power transaction in power market,the pricing decision support system for generation companies(GCPDSS)is built in electricity market.This paper introduces the conception of intelligent decision support system(IDSS)and puts emphasis on the systematical structural framework,work process,design principal,and fundamental function of GCPDSS.The system has the module to analyze the cost,to forecast the demand of power,to construct the pricing strategies,to manage the pricing risk,and to dispatch giving the pricing strategies.The case study illustrates that the friendly window-based user interface of the system enables the user to take full advantage of the capabilities of the system in order to make effective real-time decisions.