广义双循环半群和Jones半群

本文刻画了广义双循环半群Ｂｎ＝〈ａ,ｂ｜ａ＾ｎｂ＝１〉和Ｊｏｎｅｓ半群Ａｎ＝〈ａ,ｂ｜ａ＾ｎ＋１ｂ＝ａ〉（ｎ≥１）的结构;证明了每个Ａｎ都具有Ｐ．Ｒ．Ｊｏｎｅｓ所发现的半群Ａ＝〈ａ,ｂ｜ａ＾２ｂ＝ａ〉的所有重要性质,特别地,证明了Ａｎ,Ａｍ可互相嵌入,从而得到：第三个Ｄ－非平凡的无幂等元「０－」单半群若不含Ｃ＝〈ａ,ｂ｜ａ＾２ｂ＝ａ,ａｂＴ＾２＝ｂ〉,则必含每个Ａｎ或它们的对偶,作为推论,每人广义     

Twisted double incidence algebras of type An

This paper gives a complete classification of ℱ( Δ)-finite twisted double incidence algebras of posets in the case where the Hasse quivers of posets are of type A_n.     

基本内射模的方程组特征

本文定义了左R-模上的基本相容方程组的概念,并由此给出基本内射模的一个等价刻划。这一结论是文[1]结论的推广。     

模糊—神经网络控制算法及其在离心力—振动复合环境试验系统中的应用

针对离心－振动复合环境试验系统所存在的耦合性、非线性和不确定性提出了一种模糊－神经网络控制算法,利用被控对象输入输出信息离线、在线相结合学习系统的动态特性,对时变、非线性系统进行跟踪控制,并研究了该算法在系统中的实现方法。实现表明了控制系统具有良好的跟踪能力。该算法也适用于快速变化这类系统的实时控制。     

Control techniques for impacting flexible systems

Summary In this article, a comparative study of the control for the repetitive impacting elastic link with parametrically excited base in rotational motion is considered. First, a sliding mode control strategy based on linearized inverse model is designed and employed to suppress the vibrations of the elastic beam after the impact. The control concept involves the usage of an adaptive plant inverse model as controller in feedforward configurations. Next, a linear controller is designed via Lyapunov-Floquet transformation. In this approach, the time-periodic equations of motion are transformed into a time-invariant form, which is suitable for the application of standard time-invariant controller-design techniques. Finally, a fuzzy logic controller is applied for the nonlinear model of the impacting system. The momentum balance method and an empirical coefficient of restitution is used in the collision. Received 27 January 1999; accepted for publication 3 June 1999     

Completely generalized nonlinear variational inclusions for fuzzy mappings

In this paper, we introduce and study a new class of completely generalized nonlinear variational inclusions for fuzzy mappings and construct some new iterative algorithms. We prove the existence of solutions for this kind of completely generalized nonlinear variational inclusions and the convergence of iterative sequences generated by the algorithms.     

关于G逆半群的同余格

本文讨论Ｇ逆半群上的同余,文中给出刻划ｐ＾ｋ,ｐｋ,ｐ＾Ｔ,ｐＴ的方法,并用来讨论半格同余,纯幂同余,群同余及幂等元分离同余。     

基于模糊识别的三维模型检索

提出了基于2D图像模糊识别的3D模型检索的方法。该方法根据人识别习惯模式,从6个方向采集3D模型的2D图像。考虑到人眼对色差的敏感的特点,采用适当的均匀色空间,建立各2D图像的纹理特征。然后对这些纹理特征采用模糊C-均值算法建立模糊集,这些模糊集用于模拟人对图像模糊认识,模糊集对图像变形具有鲁棒性,故提高了提取特征的稳定性和灵活性,同时改善了检索效果与人识别效果的一致性。     

On the Neutrosophic,Pythagorean and Some Other Novel Fuzzy Sets Theories Used in Decision Making: Invitation to Discuss

In this short paper, a critical analysis of the Neutrosophic, Pythagorean and some other novel fuzzy sets theories foundations is provided, taking into account that they actively used for the solution of the decision-making problems. The shortcomings of these theories are exposed. It is stated that the independence hypothesis, which is a cornerstone of the Neutrosophic sets theory, is not in line with common sense and therefore leads to the paradoxical results in the asymptotic limits of this theory. It is shown that the Pythagorean sets theory possesses questionable foundations, the sense of which cannot be explained reasonably. Moreover, this theory does not completely solve the declared problem. Similarly, important methodological problems of other analyzed theories are revealed. To solve the interior problems of the Atanassov’s intuitionistic fuzzy sets and to improve upon them, this being the reason most of the criticized novel sets theories were developed, an alternative approach based on extension of the intuitionistic fuzzy sets in the framework of the Dempster–Shafer theory is proposed. No propositions concerned with the improvement of the Cubic sets theory and Single-Valued Neutrosophic Offset theory were made, as their applicability was shown to be very dubious. In order to stimulate discussion, many statements are deliberately formulated in a hardline form.     

基于区间数的直觉模糊多属性决策研究

研究一类属性权重未知的直觉模糊多属性决策问题.将直觉模糊数的属性值转由双区间数表示,根据决策方案属性值间的离差确定属性权重.根据各方案属性加权综合值及区间直觉模糊数的得分函数,对2套方案分别进行排序和比较,并通过实例说明了该方法的有效性.