基于梯形模糊数的不确定性河道生态需水模型及其应用

针对目前各类河道内生态需水模型缺少不确定性方面的研究，本文将模糊数引入到河道内生态需水估算方法中，建立了模糊生态流速和模糊生态水力半径的概念。以抛物线型过水断面河道为例，在扩展原理的基础上，建立了流量与模糊生态流速、模糊生态水力半径的具体函数关系，提出了基于梯形模糊数的不确定性河道内生态需水模型，设计了算法流程，以杜柯河壤塘站为例进行了实例研究，计算并给出了不确定性河道内生态需水量的表达结果，还利用Tennant法对所建模型的实用性进行了验证，最后对计算结果的表达形式做了分析和解释。

An uncertain model based on trapezoidal fuzzy numbers and its application on ecological water demand of inner river

Fuzzy numbers was introduced to evaluate eco-environmental water demand inside a river channel in this paper, considering that little research on eco-environmental water demand models took uncertainties into account. Fuzzy ecological flow velocity and ecological hydraulic radius were also proposed in this study. Functional relationship between velocity, fuzzy ecological velocity and fuzzy ecological hydraulic radius was established based on extension principle, taking parabolic river channel for example. An uncertain model using trapezoidal fuzzy numbers to calculate ecological water demand inside a river was raised, and an arithmetic flow was designed to achieve this objective. Rangtang hydrological station of Duke River was taken as the case study area. Expression results of uncertain eco-environmental water demand inside a ricer channel were given by calculation, and the practicability of the model built with trapezoidal fuzzy numbers was validated by Tennant method. The analysis and explanation about the expression of the result obtained from this model was given at the end of this paper.