模糊小脑模型神经网络

提出输入层具有一定隶属度的模糊小脑模型神经网络(Fuzzy CMAC),它比小脑 模型CMAC(Cerebellar Model Articulation Controller)能更真实地描述客观世界.给出n维 Fuzzy CMAC算法,仿真结果表明Fuzzy CMAC比小脑模型CMAC具有如下优点:学习收敛 速度快得多,可以学习模糊规则.Fuzzy CMAC比CMAC优越,使CMAC成为Fuzzy CMAC 的特例.     

FUZZY CMAC NEURAL NETWORK ZHOU XUDONG

提出输入层具有一定隶属度的模糊小脑模型神经网络(Fuzzy CMAC),它比小脑模型CMAC(Cerebellar Model Articulation Controller)能更真实地描述客观世界.给出n维Fuzzy CMAC算法，仿真结果表明Fuzzy CMAC比小脑模型CMAC具有如下优点学习收敛速度快得多，可以学习模糊规则. Fuzzy CMAC比CMAC优越，使CMAC成为Fuzzy CMAC的特例.     

基于Matlab带积分控制规则自调整控制的算法

提出一种加积分的广义钟形自调整模糊目标函教控制规则自调整算法,并采用Matlab控制工具箱的Fuzzy模块实现对一个典型的二阶系统进行仿真研究.     

基于遗传算法的Fuzzy规则自动获取的研究

为了实现Fuzzy规则自动获取,进而构造高性能智能系统和解决智能系统的瓶颈问题,研究了利用遗传算法自动获取规则的方法以及遗传算法的组合优化能力.模拟结果表明,这是一种有效地获取Fuzzy规则的方法.     

基于自组织模糊规则归纳的电子商务客户流失预测

为提高客户流失预测的精度,构建了基于自组织模糊规则归纳算法FRI(Fuzzy Rule Induction)的电子商务客户流失预测模型.该模型利用数据分组处理技术GMDH(Group method data handling) 从训练样本中自动地提取接近于人类自然语言描述的电子商务客户流失模糊规则,进而对测试样本客户流失状态进行判别.采用某网上商场的1500名客户样本进行电子商务客户流失预测实证研究,结果表明,该方法对测试样本预测精度达到了90%以上,是一种有效和实用的电子商务客户流失预测工具.     

应用Fuzzy集合理论测辨系统Fuzzy模型的新方法——Fuzzy推理合成法

本文基于Fuzzy集合理论,根据待辨识系统的量测数据,应用Fuzzy推理合成规则,提出建立系统Fuzzy模型的新方法,通过建立水泥回转窑热工过程Fuzzy模型,证实了该方法的可行性.     

应用Fuzzy集合理论测辨系统Fuzzy模型的新方法——Fuzzy推理合成法

本文基于Fuzzy集合理论,根据待辨识系统的量测数据,应用Fuzzy推理合成规则,提 出建立系统Fuzzy模型的新方法,通过建立水泥回转窑热工过程Fuzzy模型,证实了该方 法的可行性.     

Fuzzy控制理论在甜菜制糖过程的应用

基于Fuzzy控制理论提出了归一Fuzzy量化及带修正函数的Fuzzy控制规则自调整 方法,并介绍了该法在甜菜制糖过程的成功应用.通过某糖厂的运行结果,证明了微机Fuzzy 控制在甜菜制糖过程应用的可行性与有效性.     

一种FUZZY相关分析方法

线性的相关分析方法只能处理线性相关与否的问题,它无法用来了解是否存在非线性的相关.本文中我们提出一种近似的相关分析方法——Fuzzy 相关分析法,它主要可用于建立 Fuzzy 模型时对 Fuzzy 变量间的相关程度加以度量.此法的原理建立在 Fuzzy 规则模型的基础之上,数学上并不严格.但大量的算例表明,这种 Fuzzy 相关分析方法有相当的实用价值.     

自调整比例因子Fuzzy控制器控制工业锅炉燃烧过程

本文提出自调整比例因子Fuzzy控制器对工业锅炉燃烧过程控制.Fuzzy控制器由 SC-841工业控制机实现.实际运行效果良好.     

模糊BCK-代数及其模糊左(右)简理想

将Dib的模糊空间和模糊二元运算的概念引入BCK-代数中,给出了研究模糊BCK-代数的一个新方法。提出了模糊子代数、模糊左(右)简理想和模糊同态的概念,初步建立了新的模糊BCK-代数理论。结果表明,经典的 BCK-代数之模糊子代数、模糊左右简理想都是新理论的特例,因而这种新方法提供了发展模糊BCK-代数理论的一个有力工具。     

Fuzzy holons for intelligent multi-scale design in cloud-based design for configurations

Cloud-based design for configurations can be referred to as a service-oriented networked design for configurations model. However, cloud-based models also pose challenges such as reliability, availability, capability, ability, adaptability of resources, and services across spatial boundaries. Multi-scale design can presumably stimulate greater intelligence in cloud-based models. Using the concepts of the fuzzy holon and the fuzzy attractor, this paper proposes the fuzzy holonic approach to address multi-scale design for configurations. A fuzzy design holon is defined through two basic holons: fuzzy function holon and fuzzy solution holon. A fuzzy attractor is defined as a fuzzy function holon or fuzzy function solution toward which a design tends to evolve. The proposed fuzzy holon model is driven by two conflicting drives: (a) completeness of fuzzy function holons and fuzzy solution holons, and (b) discrimination of fuzzy function holons and fuzzy solution holons. Through simulations, four possible states of behavior of fuzzy holon design are found: (a) the impossibility state characterized by the impossibility of fuzzy holon creation; (b) the creation and destruction state sometimes characterized by the creation of fuzzy holons and sometimes the destruction of fuzzy holons, (c) the development state characterized by a natural creation and development of fuzzy holons and (d) the failure state characterized by the interruption of the development of the fuzzy design holon and the destruction of already created fuzzy design holon. The model explains that design is not an orderly and well behaved phenomenon. It shows that fuzzy holon design is a discontinuous phenomenon.     

Fuzzy Interpolative Reasoning for Sparse Fuzzy-Rule-Based Systems Based on the Areas of Fuzzy Sets

Fuzzy interpolative reasoning is an inference technique for dealing with the sparse rules problem in sparse fuzzy-rule-based systems. In this paper, we present a new fuzzy interpolative reasoning method for sparse fuzzy-rule-based systems based on the areas of fuzzy sets. The proposed method uses the weighted average method to infer the fuzzy interpolative reasoning results and has the following advantages: 1) it holds the normality and the convexity of the fuzzy interpolative reasoning result, 2) it can deal with fuzzy interpolative reasoning with complicated membership functions, 3) it can deal with fuzzy interpolative reasoning when the fuzzy sets of the antecedents and the consequents of the fuzzy rules have different kinds of membership functions, 4) it can handle fuzzy interpolative reasoning with multiple antecedent variables, 5) it can handle fuzzy interpolative reasoning with multiple fuzzy rules, and 6) it can handle fuzzy interpolative reasoning with logically consistent properties with respect to the ratios of fuzziness. We use some examples to compare the fuzzy interpolative reasoning results of the proposed method with those of the existing fuzzy interpolative reasoning methods. In terms of the six evaluation indices, the experimental results show that the proposed method performs more reasonably than the existing methods. The proposed method provides us a useful way to deal with fuzzy interpolative reasoning in sparse fuzzy-rule-based systems.      

New q-rung orthopair fuzzy partitioned Bonferroni mean operators and their application in multiple attribute decision making

The q-rung orthopair fuzzy sets are superior to intuitionistic fuzzy sets or Pythagorean fuzzy sets in expressing fuzzy and uncertain information. In this paper, some partitioned Bonferroni means (BMs) for q-rung orthopair fuzzy values have been developed. First, the q-rung orthopair fuzzy partitioned BM (q-ROFPBM) operator and the q-rung orthopair fuzzy partitioned geometric BM (q-ROFPGBM) operator are developed. Some desirable properties and some special cases of the new aggregation operators have been studied. The q-rung orthopair fuzzy weighted partitioned BM (q-ROFWPBM) operator and the q-rung orthopair fuzzy partitioned geometric weighted BM (q-ROFPGWBM) operator are also developed. Then, a new multiple-attribute decision-making method based on the q-ROFWPBM (q-ROFPGWBM) operator is proposed. Finally, a numerical example of investment company selection problem is given to illustrate feasibility and practical advantages of the new method.     

Takagi-Sugeno模糊连续系统的模糊采样控制

研究了T-S模糊连续系统的模糊采样控制问题．利用广义系统的描述方法、Lyapunov-Krasovikii泛函以及线性矩阵不等式(LMI)方法,建立了LMIs形式的依赖于采样时间间隔的模糊采样镇定条件,同时给出了模糊采样控制律的设计方法．所设计的模糊采样控制律可以镇定T-S模糊系统．而且,当连续时间模糊控制律可以镇定T-S模糊系统时,对于足够小的采样时间间隔,带有同样增益矩阵的模糊采样控制律也可以镇定T-S模糊系统．最后,通过两个仿真实例说明了所给方法的有效性．     

Compensatory neurofuzzy systems with fast learning algorithms

In this paper, a new adaptive fuzzy reasoning method using compensatory fuzzy operators is proposed to make a fuzzy logic system more adaptive and more effective. Such a compensatory fuzzy logic system is proved to be a universal approximator. The compensatory neural fuzzy networks built by both control-oriented fuzzy neurons and decision-oriented fuzzy neurons cannot only adaptively adjust fuzzy membership functions but also dynamically optimize the adaptive fuzzy reasoning by using a compensatory learning algorithm. The simulation results of a cart-pole balancing system and nonlinear system modeling have shown that: 1) the compensatory neurofuzzy system can effectively learn commonly used fuzzy IF-THEN rules from either well-defined initial data or ill-defined data; 2) the convergence speed of the compensatory learning algorithm is faster than that of the conventional backpropagation algorithm; and 3) the efficiency of the compensatory learning algorithm can be improved by choosing an appropriate compensatory degree.     

Fuzzy inference to risk assessment on nuclear engineering systems

This paper presents a nuclear case study, in which a fuzzy inference system (FIS) is used as alternative approach in risk analysis. The main objective of this study is to obtain an understanding of the aging process of an important nuclear power system and how it affects the overall plant safety. This approach uses the concept of a pure fuzzy logic system where the fuzzy rule base consists of a collection of fuzzy IF–THEN rules. The fuzzy inference engine uses these fuzzy IF–THEN rules to determine a mapping from fuzzy sets in the input universe of discourse to fuzzy sets in the output universe of discourse based on fuzzy logic principles. The risk priority number (RPN), a traditional analysis parameter, was calculated and compared to fuzzy risk priority number (FRPN) using scores from expert opinion to probabilities of occurrence, severity and not detection. A standard four-loop pressurized water reactor (PWR) containment cooling system (CCS) was used as example case. The results demonstrated the potential of the inference system for subsiding the failure modes and effects analysis (FMEA) in aging studies.     

Pythagorean hesitant fuzzy Hamacher aggregation operators and their application to multiple attribute decision making

Hamacher product is a t‐norm and Hamacher sum is a t‐conorm. They are good alternatives to algebraic product and algebraic sum, respectively. Nevertheless, it seems that most of the existing hesitant fuzzy aggregation operators are based on the algebraic operations. In this paper, we utilize Hamacher operations to develop some Pythagorean hesitant fuzzy aggregation operators: Pythagorean hesitant fuzzy Hamacher weighted average (PHFHWA) operator, Pythagorean hesitant fuzzy Hamacher weighted geometric (PHFHWG) operator, Pythagorean hesitant fuzzy Hamacher ordered weighted average (PHFHOWA) operator, Pythagorean hesitant fuzzy Hamacher ordered weighted geometric (PHFHOWG) operator, Pythagorean hesitant fuzzy Hamacher induced ordered weighted average (PHFHIOWA) operator, Pythagorean hesitant fuzzy Hamacher induced ordered weighted geometric (PHFHIOWG) operator, Pythagorean hesitant fuzzy Hamacher induced correlated aggregation operators, Pythagorean hesitant fuzzy Hamacher prioritized aggregation operators, and Pythagorean hesitant fuzzy Hamacher power aggregation operators. The special cases of these proposed operators are studied. Then, we have utilized these operators to develop some approaches to solve the Pythagorean hesitant fuzzy multiple attribute decision making problems. Finally, a practical example for green supplier selections in green supply chain management is given to verify the developed approach and to demonstrate its practicality and effectiveness.     

格的模糊同态

研究模糊同态,自然离不开模糊映射,群与环的模糊同态分别利用了不同的模糊映射进行讨论。利用经典集间的模糊映射,引入了格的模糊同态和模糊弱同态概念,给出了模糊同态与模糊弱同态下模糊子格（模糊理想）的对应关系,并由模糊同态得到了格的理想,建立了格的同构映射,基于模糊同态所确定的映射等价刻画了模糊子格的弱（满）同态。     

广义毕达哥拉斯模糊集成算子及其决策应用

研究毕达哥拉斯模糊决策环境下的集成算子及其决策应用.给出拟加权几何集成算子和拟有序加权几何算子的概念, 并分析 它们的性质.将有序加权平均算子、有序加权几何算子、拟有序加权平均算子和拟有序加权几何算子推广到毕达哥拉斯 模糊决策环境, 定义毕达哥拉斯模糊有序加权平均算子、广义毕达哥拉斯模糊有序加权平均算子、毕达哥拉斯模糊有序加权几何算子、广义毕达哥拉斯模糊有序加权几何 算子、拟毕达哥拉斯模糊有序加权平均算子和拟毕达哥拉斯模糊有序加权几何算子.提出基于广义毕达哥拉斯模糊集成算子的决策方法, 并通过实例验证其可行性.