含二次隶属函数的模糊二次规划模型求解

基于一种新定义的可调节二次隶属函数,研究了一类带有模糊资源约束的模糊二次规划模型,同时给出了两种相应的求解方法—扩展的Zimmermann算法和扩展的参数规划法。实例表明,两类方法均有一定的合理性和有效性。

关于Werner对称模糊二次规划的求解

针对Werner对称模糊二次规划,提出了将容差法与外罚函数法结合起来求解的一种新解法。先用容差法使模糊问题清晰化,然后运用外罚函数法进行求解。最后用数值例子,验证了该方法的可行性。

具有补偿机制的二次模糊规划模型

基于可信性理论,本文提出一类新的模糊规划模型———具有补偿机制的二次模糊规划问题,并讨论了该模型的一些基本性质.为了求解这个模型,在本文中设计了采用启发式的混合算法求解此模型,该算法包含了模糊模拟、禁忌搜索和神经网络的算法.最后,通过解决数值实验例子来说明该算法是有效的,是可行的.

模糊关系二次规划问题的全局最优解

研究了一类目标函数为二次函数,约束是模糊关系方程的模糊关系二次规划问题,这是一类复杂的非凸最优化问题。首先,我们阐述了该类规划可行集的结构。其次,针对目标函数的不同情况给出了求全局最优解的算法。最后通过几个数值例子验证了算法的有效性。

Priority approach based on quadratic programming model to fuzzy preference relation

We investigate the decision-making problem with a finite set of alternatives,in which the decision information takes the form of a fuzzy preference relation. We develop asimple and practical approach to obtaining the priority vector of a fuzzy preference relation. Theprominent characteristic of the developed approach is that the priority vector can generally beobtained by a simple formula, which is derived from a quadratic programming model. We utilize theconsistency ratio to check the consistency of fuzzy preference relation. If the fuzzy preferencerelation is of unacceptable consistency, then we can return it to the decision maker to reconsiderstructuring a new fuzzy preference relation until the fuzzy preference relation with acceptableconsistency is obtained. We finally illustrate the priority approach by two numerical examples. Thenumerical results show that the developed approach is straightforward, effective, and can easily beperformed on a computer.