Static rough similarity degree and its applications

The definition of rough similarity degree is given based on the axiomatic similarity degree, and the properties of rough similarity degree are listed. Using the properties of rough similarity degree, the method of clustering in rough systems can be obtained. After clustering, a new sample can be recognized by the principle of maximal rough similarity degree.     

Transformation and entropy for fuzzy rough sets

A new method for translating a fuzzy rough set to a fuzzy set is introduced and the fuzzy approximation of a fuzzy rough set is given. The properties of the fuzzy approximation of a fuzzy rough set are studied and a fuzzy entropy measure for fuzzy rough sets is proposed. This measure is consistent with similar considerations for ordinary fuzzy sets and is the result of the fuzzy approximation of fuzzy rough sets.     

模糊粗交流及其应用

提出了变异模糊粗集的概念,并给出了变异模糊粗集的相关性质和定理。将Amin Mousavi提出的粗交流进行了推广,提出了模糊粗交流。建立了模糊粗交流网络最优传递序列的数学模型,应用模糊粗交流理论给出了解决这类数学模型的算法。最后利用提出的算法解决了通讯网络中选择最优通讯线路的实例,从而验证了算法的有效性。     

基于粗集的模糊信息系统有序规则获取

模糊信息处理是信息科学领域的一个热点和难点。针对一类带有三角模型的模糊信息系统,提出一种基于粗糙集的有序规则获取方法。证明了三角模糊数之间基于可能度的序关系是一种弱序关系,进而将模糊信息系统转化为二元信息系统,利用粗糙集理论推理出模糊信息系统的最优有序规则。仿真实例表明了该方法的有效性。     

FCMBP聚类法在语音识别和模糊控制中的应用

首先从理论上证明了FCMBP模糊聚类方法,即基于摄动的模糊聚类方法,比传递闭包法失真小;其次,用例子说明这两种聚类方法的聚类结果并不总是相同,有时还会产生本质差异;再次,提出用FCMBP模糊聚类方法设立语音模式的参考向量集来进行语音识别,该方法能提高语音识别的正确率;最后,利用FCMBP模糊聚类方法滤除量测数据对中的噪声,再用这些处理过的数据构造模糊控制规则,从而是达到模糊控制规则的优化。     

Some new similarity measures for intuitionistic fuzzy values and their application in group decision making

We first propose a series of similarity measures for intuitionistic fuzzy values (IFVs) based on the intuitionistic fuzzy operators (Atanassov 1995). The parameters in the proposed similarity measures can control the degree of membership and the degree of non-membership of an IFV, which can reflect the decision maker’s risk preference. Moreover, we can obtain some known similarity measures when some fixed values are assigned to the parameters. Furthermore, we apply the similarity measures to aggregate IFVs and develop some aggregation operators, such as the intuitionistic fuzzy dependent averaging operator and the intuitionistic fuzzy dependent geometric operator, whose prominent characteristic is that the associated weights only depend on the aggregated intuitionistic fuzzy arguments and can relieve the influence of unfair arguments on the aggregated results. Based on these aggregation operators, we develop some group decision making methods, and finally extend our results to interval-valued intuitionistic fuzzy environment.     

Function S-rough sets and mining-discovery of rough law in systems

1. INTRODUCTION S-rough sets (singular rough sets) was presented in Ref. [3] in 2002, and defined on α -element equival- ence class [x] with dynamic characteristic. S-rough sets has more advantages than Z.Pawlak’s rough sets[24]. S-rough sets has been applied in dynamic object recognition[21], mechanical engineering[22] and information science[8-13]. In 2005, function S-rough sets was put forward in Refs. [1,2], and is defined on α -function equivalence class [u] with dynamic charact…     

基于粗糙集和支持向量机的效能评定

简述了各种武器效能评定方法,并分析了其特点。建立武器参数效能模型,首先要挑选特征参数,提出采用知识约简方法选择武器的特征参数。利用支持向量机建立了参数效能模型,给出了实例和解决此问题的支持向量机源程序。通过实例与指数法和神经网络法的结果进行了比较,结果表明支持向量机比较精确和简单。