De-combination of belief function based on optimization

In the theory of belief functions, the evidence combination is a kind of decision-level information fusion. Given two or more Basic Belief Assignments(BBAs) originated from different information sources, the combination rule is used to combine them to expect a better decision result. When only a combined BBA is given and original BBAs are discarded, if one wants to analyze the difference between the information sources, evidence de-combination is needed to determine the original BBAs. Evidence d...     

Trajectory optimisation in electrical discharge machining of three-dimensional curved and twisted channels

Numerical control electrical discharge machining(NC EDM) is one of the most widely used machining technologies for manufacturing a closed blisk flow path, particularly for three-dimensional(3D) curved and twisted flow channels. In this process, tool electrode design and machining trajectory planning are the key factors affecting machining accessibility and efficiency. Herein, to reduce the difficulty in designing the electrode and its motion path in the closed curved and twisted channels, a heur...     

Novel moderate transformation of fuzzy membership function into basic belief assignment

In information fusion, the uncertain information from different sources might be modeled with different theoretical frameworks. When one needs to fuse the uncertain information represented by different uncertainty theories, constructing the transformation between different frameworks is crucial. Various transformations of a Fuzzy Membership Function (FMF) into a Basic Belief Assignment (BBA) have been proposed, where the transformations based on uncertainty maximization and minimization can determine the BBA without preselecting the focal elements. However, these two transformations that based on uncertainty optimization emphasize the extreme cases of uncertainty. To avoid extreme attitudinal bias, a trade-off or moderate BBA with the uncertainty degree between the minimal and maximal ones is more preferred. In this paper, two moderate transformations of an FMF into a trade-off BBA are proposed. One is the weighted average based transformation and the other is the optimization-based transformation with weighting mechanism, where the weighting factor can be user-specified or determined with some prior information. The rationality and effectiveness of our transformations are verified through numerical examples and classification examples.     

基于线性位移模式的环形谐振子理论研究

环形谐振子理论是谐振陀螺研究领域的重要内容,然而在目前经典环形谐振子理论中,仍 存在很多问题尚未解决,例如:挠度控制方程不能精确求解环形结构的弯曲问题,获得的二阶弯曲 角频率及进动系数理论解不能充分反映出其随尺寸参数(如高度h、曲率半径r 等)变化的影响规 律等。为了克服上述不足,从环形结构理论的基本假设和基本条件出发,基于环形结构的线性位 移模式假设、虚功原理和哈密顿原理,建立新的环形谐振子理论,包括广义本构关系、平衡方程和 边界条件等,获得环形结构静态弯曲问题的解析求解方法和动态问题的理论解。最后,针对典型 的环形结构静、动态问题,通过与其他理论结果进行对比,验证了理论和求解方法的正确性。工作 表明,进动系数不是恒定的,其值会随着结构尺寸的不同在0.4附近很小范围内发生变化。