多态不确定性环境下城市固废管理模型及求解

研究了多态不确定性环境下的城市垃圾处理问题.在一定假设条件下,建立了一类固废管理问题的区间模糊优化模型.提出了区间大小关系可能度算子的公理化定义,并基于这种可能度算子的方法,对给定的权重系数和置信水平,推导了原模型的确定型等价类,从而把区间模糊优化问题转化为普通的线性规划问题求解.将所建立的模型和求解方法用于解决一个实际固废管理问题,结果证实了该模型及其求解方法的有效性.

Model and Solution Method for the Management of City Solid Garbage Disposal under Environment of Polymorphic Uncertainty

The problem of city garbage disposal was investigated under an environment of polymorphic uncertainty. In some settings, a class of management of solid garbage disposal was formulated as an interval fuzzy optimization model. Possibility degree operator for the order of interval numbers was firstly defined in axiomatic method, and for given weight coefficients and confidence levels, a deterministic equivalent formulation for the original model was obtained on the basis of such a definition. Then the problem was solved in the ordinary linear programming method. The model and the solution method were applied into a practical management problem, and the results indicate that the model and the solution method are effective.