粗糙模糊C-均值算法及其在图像聚类中的应用

提出一种新的粗糙模糊C均值算法(RFCM),该算法基于粗糙集的上、下近似的概念改进了FCM的目标函数,从而改变了隶属度函数的分布,使得隶属度函数的分布更加合理,同时RFCM的时间复杂性比FCM更低。将RFCM用于图像的聚类,相对于FCM算法,图像的边缘更光滑,同时对初始隶属度矩阵敏感度更低。该算法具有较好的稳定性,是一种实用的算法。     

基于理想点距离算法的灭火作战方案优选

分析了传统的灭火作战方案优选方法存在的弊端,提出了基于模糊集理论的计算理想点距离的优选法,明确了语言变量与模糊集理论的相关定义,规定了模糊评价语言与三角模糊数的换算方法,阐述了理想点距离的计算方法,建立了灭火作战方案优选模型,验证了该方法在灭火作战方案优选方面的科学性、有效性以及合理性.     

近似推理在水雷参数分析专家系统中的应用

为了尽快分析出未知水雷障碍参数,根据水雷战的特点,提出了建立未知水雷障碍参数分析专家系统的观点,对专家系统的设计方法进行了一定的探讨,并针对专家系统建立中的"瓶颈"问题,提出了基于Vague集插值近似推理的专家系统知识自动获取方法,在介绍推理过程的基础上给出了算例.从推理的结果来看,该方法具有较高的可信度,从而为专家系统的研制提供了一定的方法支持.     

Maximizing deviation method for multiple attribute decision making under q-rung orthopair fuzzy environment

Because of the uncertainty and subjectivity of decision makers in the complex decision-making environment, the evaluation information of alternatives given by decision makers is often fuzzy and uncertain. As a generalization of intuitionistic fuzzy set (IFSs) and Pythagoras fuzzy set (PFSs), q-rung orthopair fuzzy set (q-ROFS) is more suitable for expressing fuzzy and uncertain information. But, in actual multiple attribute decision making (MADM) problems, the weights of DMs and attributes are always completely unknown or partly known, to date, the maximizing deviation method is a good tool to deal with such issues. Thus, combine the q-ROFS and conventional maximizing deviation method, we will study the maximizing deviation method under q-ROFSs and q-RIVOFSs in this paper. Firstly, we briefly introduce the basic concept of q-rung orthopair fuzzy sets (q-ROFSs) and q-rung interval-valued orthopair fuzzy sets (q-RIVOFSs). Then, combine the maximizing deviation method with q-rung orthopair fuzzy information, we establish two new decision making models. On this basis, the proposed models are applied to MADM problems with q-rung orthopair fuzzy information. Compared with existing methods, the effectiveness and superiority of the new model are analyzed. This method can effectively solve the MADM problem whose decision information is represented by q-rung orthopair fuzzy numbers (q-ROFNs) and whose attributes are incomplete.     

基于模型诊断的集合逻辑运算法计算最小碰集

在基于模型的故障诊断仿真系统的诊断流程中,由最小冲突集计算最小碰集是整个流程中的关键步骤。针对现有计算最小碰集方法中存在的缺陷,提出了运用集合逻辑运算法计算最小碰集,将冲突集表示为集合的逻辑"与"、逻辑"或"运算,通过其运算法则进行运算简化,可得到全部的最小碰集。该方法具有简单有效、数据结构简单、计算简便快捷和易于程序实现等优点。最后通过实例计算,验证了该算法的正确性、简单性和高效性。     

基于阶次小波包与粗糙集的轴承故障诊断

针对齿轮箱启动过程中振动信号表现为非平稳、非高斯特征及传统诊断方法诊断精度不高的现状,将阶次小波包和粗糙集理论引入轴承的故障诊断中,提出了一种新的故障诊断方法。首先利用阶次跟踪算法对瞬态振动信号进行重采样,得到等角度分布振动信号,其次采用小波包对该信号分解—重构,并对每个频段的能量进行归一化,构成特征向量,通过粗糙集理论得到清晰、简明的决策规则,最后通过故障实例验证该方法的有效性。     

基于比较语言的军民融合式装备维修保障风险评估

针对地方维修商参与部队装备维修保障给军方带来诸多风险的问题，系统分析了军民融合式装备维修保障存在的风险因素，提出了一种基于比较语言表达的风险评估模型。将比较语言表达式转换为犹豫模糊语言术语集（HFLTS），并计算出由梯形模糊隶属函数表示的 HFLTS 的模糊包络，最后应用双基点法进行维修商的选择决策。通过实例验证了模型的有效性。     

相控阵雷达维修方案优选方法研究

针对相控阵雷达维修方案的选择问题,确定了维修方案的决策属性,并提出一种基于改进TOPSIS法的相控阵雷达维修方案优选方法。该方法通过引入Vague集来处理维修方案选择中存在的模糊信息,并采用博弈论综合赋权法来确定决策属性的综合权重。通过计算各备选方案与正、负理想方案的灰色关联度,得到了维修方案的灰色关联相对贴近度,进而实现对维修方案的排序和选择。最后,通过算例应用与分析,对提出的方法进行了验证。     

MABAC method for multiple attribute group decision making under q-rung orthopair fuzzy environment

As the generalization of intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS), the q-rung orthopair fuzzy set (q-ROFS) has emerged as a more meaningful and effective tool to solve multiple attribute group decision making (MAGDM) problems in management and scientific domains. The MABAC (multi-attributive border approximation area comparison) model, which handles the complex and uncertain decision making issues by computing the distance between each alternative and the bored approximation area (BAA), has been investigated by an increasing number of researchers more recent years. In our article, consider the conventional MABAC model and some fundamental theories of q-rung orthopair fuzzy set (q-ROFS), we shall introduce the q-rung orthopair fuzzy MABAC model to solve MADM problems. at first, we briefly review some basic theories related to q-ROFS and conventional MABAC model. Furthermore, the q-rung orthopair fuzzy MABAC model is built and the decision making steps are described. In the end, An actual MADM application has been given to testify this new model and some comparisons between this novel MABAC model and two q-ROFNs aggregation operators are provided to further demonstrate the merits of the q-rung orthopair fuzzy MABAC model.     

双枝模糊评判在舰炮性能评估中的应用

针对舰炮武器性能指标，运用双枝模糊决策方法对舰炮武器性能进行综合评估。该方法提出了新的论域[-1，1]使评估更能符合人的思维逻辑，能够客观的对舰炮性能进行评估，通过对多中舰炮的具体参数指标进评估，得出各种舰炮的性能优劣的排序，具体的数学模型仿真表明，对舰炮武器性能的评估是行之有效的。