Faculty of Engineering and Applied Science, University of Regina, Regina, Saskatchewan S4S 0A2, Canada.
J Environ Manage. 2011 Aug;92(8):1986-95. doi: 10.1016/j.jenvman.2011.03.024. Epub 2011 Apr 12.
In this study, an interactive two-stage stochastic fuzzy programming (ITSFP) approach has been developed through incorporating an interactive fuzzy resolution (IFR) method within an inexact two-stage stochastic programming (ITSP) framework. ITSFP can not only tackle dual uncertainties presented as fuzzy boundary intervals that exist in the objective function and the left- and right-hand sides of constraints, but also permit in-depth analyses of various policy scenarios that are associated with different levels of economic penalties when the promised policy targets are violated. A management problem in terms of water resources allocation has been studied to illustrate applicability of the proposed approach. The results indicate that a set of solutions under different feasibility degrees has been generated for planning the water resources allocation. They can help the decision makers (DMs) to conduct in-depth analyses of tradeoffs between economic efficiency and constraint-violation risk, as well as enable them to identify, in an interactive way, a desired compromise between satisfaction degree of the goal and feasibility of the constraints (i.e., risk of constraint violation).
在本研究中，通过在非精确两阶段随机规划（ITSP）框架内纳入交互式模糊决策（IFR）方法，开发了一种交互式两阶段随机模糊规划（ITSFP）方法。ITSFP 不仅可以解决存在于目标函数和约束的左右两侧的模糊边界区间这一双重不确定性，还可以在承诺的政策目标被违反时，对不同经济惩罚水平相关的各种政策情景进行深入分析。研究了一个水资源分配管理问题，以说明所提出方法的适用性。结果表明，针对水资源分配规划生成了一组在不同可行性程度下的解决方案。这些解决方案可以帮助决策者（DMs）深入分析经济效率和违反约束风险之间的权衡，并且可以使他们以交互的方式，在目标的满意度和约束的可行性（即违反约束的风险）之间识别出一个期望的折衷方案。
