Karmakar Subhankar, Mujumdar P P
Department of Civil Engineering, Indian Institute of Science, Bangalore 560 012, India.
J Environ Manage. 2006 Nov;81(3):233-48. doi: 10.1016/j.jenvman.2005.10.009. Epub 2006 Mar 20.
A previously developed fuzzy waste load allocation model (FWLAM) for a river system is extended to address uncertainty involved in fixing the membership functions for the fuzzy goals of the pollution control agency (PCA) and the dischargers using the concept of grey systems. The model provides flexibility for the PCA and the dischargers to specify their goals independently, as the parameters for membership functions are considered as interval grey numbers instead of deterministic real numbers. An inexact or a grey fuzzy optimization model is developed in a multiobjective framework, to maximize the width of the interval valued fractional removal levels for providing latitude in decision-making and to minimize the width of the goal fulfillment level for reducing the system uncertainty. The concept of an acceptability index for order relation between two partially or fully overlapping intervals is used to get a deterministic equivalent of the grey fuzzy optimization model developed. The improvement of the optimal solutions over a previously developed grey fuzzy waste load allocation model (GFWLAM) is shown through an application to a hypothetical river system. The fuzzy multiobjective optimization and fuzzy goal programming techniques are used to solve the deterministic equivalent of the GFWLAM.
一个先前开发的用于河流系统的模糊废物负荷分配模型（FWLAM）得到扩展，以解决在使用灰色系统概念确定污染控制机构（PCA）和排放者的模糊目标的隶属函数时所涉及的不确定性。该模型为PCA和排放者提供了独立指定其目标的灵活性，因为隶属函数的参数被视为区间灰色数而非确定性实数。在多目标框架下开发了一个不精确或灰色模糊优化模型，以最大化区间值分数去除水平的宽度，从而在决策中提供灵活性，并最小化目标实现水平的宽度，以降低系统不确定性。使用两个部分或完全重叠区间之间序关系的可接受性指数概念，得到所开发灰色模糊优化模型的确定性等价模型。通过应用于一个假设的河流系统，展示了相对于先前开发的灰色模糊废物负荷分配模型（GFWLAM），最优解的改进。使用模糊多目标优化和模糊目标规划技术来求解GFWLAM的确定性等价模型。
