中文摘要：

基于一种带有矛盾否定、对立否定和中介否定的新模糊集FScom,研究了在一个金融投资决策实例中的应用。其中,对于模糊知识的不同否定,引入模糊集合～＋A和～-A,并采用距离比率函数思想定义了模糊集的隶属函数,给出了模糊集合FScom定义中λ值以及模糊产生式规则中阈值τ的一种确定方法,讨论了实例中的模糊知识及其三种不同否定的推理算法与实现。

英文摘要：

Based on a new fuzzy set,FScom,which comes along with contradictory negation,opposite negation and medium negation,the thesis has studied an application in a financial investment decision case.For different negations of fuzzy knowledge,two fuzzy sets,～＋A and ～-A,are introduced.Abide by the distance-ratio function thought,the fuzzy set＇s member functions are defined.Moreover,one confirmed method is presented to define the λ value as well as the threshold λ value in fuzzy production rules.Then in the case study the reasoning algorithm and its realization of the fuzzy knowledge with its three negations are discussed.