Fuzzy Multi - Objective Programming Model And Its Application

Because the decision-making environment of uncertainty and decision-makers can not accurately express preference information, fuzzy optimization theory emerged. Correspondently, fuzzy multi-objective programming are researched by more and more scholars. In real life, fuzzy multi-objective programming problems can be divided into various types such as fuzzy multi-objective linear programming, fuzzy multi-objective integer programming, fuzzy multi-objective nonlinear programming. Fuzzy multi-objective programming model theory has been very mature, so the key is solving the fuzzy multi-objective programming. How to translate this model into the certain and single objective programming problem is important. Based on the previous studies, I do the following work:1. It introduces the relevant knowledge of fuzzy programming. And it summarizes some types of fuzzy multiple objective programming, such as multi-objective fuzzy expected value model, fuzzy chance constrained multi-objective programming and fuzzy multi-objective programming of related opportunities. It also summarizes the linear fuzzy multi-objective programming model, which is divided into goal is ambiguous,or the coefficient is ambiguous and so on. There is the nonlinear multi-objective fuzzy programming model, also which is divided into goal is ambiguous,or the coefficient is ambiguous and so on.2. It presents three different transformation methods, In this chapter, the fuzzy numbers are transformed into interval numbers. Then the fuzzy multi-objective programming are transformed into two deterministic multi-objective programming using the interval numbers.3. Based on the existing knowledge of oilfield development features, it only consider the maximum oil production, the maximum oil benefit, the minimized cost of oil, and establish the fuzzy multi-objective programming model, then gives its solving process. Finally, examples prove the solution method is reasonable.