(α,β)((λ_1,λ_2))-模糊BCK-滤子

应用模糊点和模糊子集之间的关系,引入了BCK-代数的(α,β)((∈,∈∨q))-模糊BCK-滤子的概念,研究了BCK-代数的(α,β)-模糊BCK-滤子的性质,给出了BCK-代数的模糊子集为(∈,∈∨q)-模糊BCK-滤子的充要条件.随后又将BCK-代数的模糊BCK-滤子的概念做了进一步推广,给出了BCK-代数的(λ1,λ2)((∈,∈∨q(λ1,λ2)))-模糊BCK-滤子的概念,并讨论了(λ1,λ2)-模糊BCK-滤子和(∈,∈∨q(λ1,λ2))-模糊BCK-滤子之间的关系.

HO-代数的f-滤子

分析HO-代数的性质,利用同余关系介绍f-滤子是余核滤子的充要条件;并且,采用构造辅助滤子证明所有f-滤子的集合是一个Heyting-代数。

Ω-滤子的一个等价刻画

对滤子公理进行重新解释,给出了文献[1]引入的Ω-滤子的一个等价刻画。

格蕴涵代数的(∈,∈∨q_(λ,μ))-模糊滤子

给出了点态化(∈,∈νq_(λ,μ))-模糊滤子和广义模糊滤子的概念,讨论了两者之间的等价关系;得到了(∈,∈νq_(λ,μ))-模糊滤子的若干等价刻画,并研究了其相关性质;讨论了(∈,∈νq_(λ,μ))-模糊滤子的同态像与同态原像的基本性质;最后研究了(∈,∈vq_(λ,μ))-模糊滤子的直积。

格蕴涵代数的(∈，∈∨q(λ，μ))-模糊素滤子

将((∈,∈∨q_((λ,μ))))-模糊代数应用于格蕴涵代数,提出了点态化((∈,∈∨q_((λ,μ))))-模糊素滤子和(λμ)-模糊素滤子的概念,并从以下几个方面对((∈,∈∨q_((λ,μ))))-模糊素滤子进行了详细的研究:讨论了((∈,∈∨q_((λ,μ))))-模糊素滤子和(λμ)-模糊素滤子的等价关系;研究了((∈,∈∨q_((λ,μ))))-模糊素滤子的相关性质;得到了特定条件下((∈,∈∨q_((λ,μ))))-模糊素滤子的若干等价刻画,建立了((∈,∈∨q_((λ,μ))))-模糊素滤子的扩张定理;探讨了((∈,∈∨q_((λ,μ))))-模糊素滤子的同态像与同态原像。

剩余格上的(∈,∈∨q)-模糊滤子

在剩余格上引入了(∈,∈∨q)-模糊滤子的概念,初步讨论了它的一些性质和等价条件,与之对应地讨论了(∈,∈∨q)-模糊滤子的性质,最后得到模糊滤子、(∈,∈∨q)-模糊滤子和(∈,∈∨q)-模糊滤子之间的关系。

BL-代数的(∈,∈∨q)-模糊素滤子

利用模糊拓扑中模糊点重于和属于模糊集的概念研究模糊逻辑代数结构,在BL-代数中引入(∈,∈∨q)-模糊素滤子的概念并研究其性质.获得了BL-代数中(∈,∈∨q)-模糊素滤子的若干等价刻画,讨论了BL-代数中素滤子与(∈,∈∨q)-模糊素滤子间的关系,考察了BL-代数中(∈,∈∨q)-模糊素滤子的同态性质,证明了BL-代数中(∈,∈∨q)-模糊素滤子的同构(同态)像(原像)仍为(∈,∈∨q)-模糊素滤子这一结论.

基于非交换剩余格的(α,β]-模糊滤子(上)

对BL-代数的(∈,∈∨q)-模糊滤子和(∈,∈∨q)-模糊滤子进行了较为细致的研究,首先,在非交换剩余上首次引入了(α,β]-模糊滤子的概念,将非交换剩余格上的模糊滤子,(∈,∈∨q)-模糊滤子和(∈,∈∨q)-模糊滤子纳入到(α,β]-模糊滤子体系之中;其次,在非交换剩余上引入了生成(α,β]-模糊滤子的概念,给出了一般模糊子集生成(α,β]-模糊滤子的方法,指出了一个非交换剩余格上全体(α,β]-模糊滤子之集构成一个完备格,并证明了在α=0的情况下格的分配性成立.

基于非交换剩余格的(α,β]-模糊滤子(下)

将非交换剩余格的(α,β]-模糊滤子、模糊布尔滤子、模糊蕴涵滤子、模糊奇异滤子等概念相结合,进一步在非交换剩余格中引入了(α,β]-模糊布尔滤子、(α,β]-模糊蕴涵滤子和(α,β]-模糊奇异滤子的概念,对它们的性质及其它们三者之间的相互关系进行了较为详细的讨论,并分别给出了它们的等价刻画.本文的结果对不同逻辑代数中各种滤子性质的研究具有积极的参考价值.

α-Cauchy滤子与α-完备性

本文引入不分明一致空间中的a—Cauchy滤子(基)、a—完备和完备的概念,讨论了a—Cauchy滤子(基)的一系列性质,证明了a—完备的闭遗传性和可乘性。

Q-型伪BCI代数和2-型伪q滤子(英文)

作为拟结合BCI-代数的推广,提出了Q-型伪BCI代数的概念.研究了伪BCK代数,T-型伪BCI代数和Q-型伪BCI代数之间的关系.引入2-型伪q滤子的概念,研究了T-型伪BCI滤子和2-型伪q滤子之间的关系,证明了以下结论:每一个Q-型伪BCI代数的滤子都是2-型伪q滤子.

多值滤子及其应用

研究了模糊集理论中的一个基本问题:什么是多值滤子?利用模糊幂集固有的模糊偏序,通过给出滤子公理的多值解释,对该问题给出了一个新的回答.此外,作为多值滤子的一个应用,用它刻画了强Ω-拓扑.

EQ-代数上的(α,β]-模糊前滤子

提出了EQ-代数上α,β-模糊前滤子的概念,并进一步定义了α,β-模糊正蕴涵前滤子、α,β-模糊蕴涵前滤子,研究了这些广义模糊前滤子的相关性质以及它们的等价刻画,讨论了三者之间的关系,丰富了EQ-代数上的模糊滤子理论。

完全正则Γ-半群

本文给出了完全正则Γ-半群的几个等价刻画,由此给出了完全正则Γ-半群的结构定理.

Separation of Ions from Volatile Organic Compounds Using High-Field Asymmetric Waveform Ion Mobility Spectrometry-Mass Spectrometer

A combination of high-field asymmetric waveform ion mobility spectrometry （FAIMS） with mass spectrometer （MS） was analyzed. FAIMS separates ions from the volatile organic compounds in the gas-phase as an ion-filter for MS. The sample ions were created at ambient pressure by ion source, which was equipped with a 10.6 eV UV discharge lamp （A=116.5 nm）. The drift tube of FAIMS is composed of two parallel planar electrodes and the dimension is 10 mm×8 mm×0.5 mm. FAIMS was investigated when driven by the high-filed rectangular asymmetric waveform with the peak-to-peak voltage of 1.36 kV at the frequency of 1 MHz and the duty cycle of 30%. The acetone, the butanone, and their mixture were adopted to characterize the FAIMS-MS. The mass spectra obtained from MS illustrate that there are ion-molecular reactions between the ions and the sample neutral molecular. And the proton transfer behavior in the mixture of the acetone and the butanone is also observed. With the compensation voltage tuned from -30 V to 10 V with a step size of 0.1 V, the ion pre-separation before MS is realized.

Quantum stochastic filters for nonlinear time-domain filtering of communication signals

Principles and performances of quantum stochastic filters are studied for nonlinear time-domain filtering of communication signals. Filtering is realized by combining neural networks with the nonlinear Schroedinger equation and the time-variant probability density function of signals is estimated by solution of the equation. It is shown that obviously different performances can be achieved by the control of weight coefficients of potential fields. Based on this characteristic, a novel filtering algorithm is proposed, and utilizing this algorithm, the nonlinear waveform distortion of output signals and the denoising capability of the filters can be compromised. This will make the application of quantum stochastic filters be greatly extended, such as in applying the filters to the processing of communication signals. The predominant performance of quantum stochastic filters is shown by simulation results.

Multi-Parameter Design and Optimization for the Decomposition Projective Method and Its Applications

In order to solve the electromagnetic problems on the large multi branch domains, the decomposition projective method(DPM) is generalized for multi subspaces in this paper. Furthermore multi parameters are designed for DPM, which is called the fast DPM(FDPM), and the convergence ratio of the above algorithm is greatly increased. The examples show that the iterative number of the FDPM with optimal parameters decreases much more, which is less than one third of the DPM iteration number. After studying the ...

Edge enhancement of gravity anomalies and gravity gradient tensors using an improved small sub-domain filtering method

In order to enhance geological body boundary visual effects in images and improve interpretation accuracy using gravity and magnetic field data, we propose an improved small sub-domain filtering method to enhance gravity anomalies and gravity gradient tensors. We discuss the effect of Gaussian white noise on the improved small sub-domain filtering method, as well as analyze the effect of window size on geological body edge recognition at different extension directions. Model experiments show that the improved small sub-domain filtering method is less affected by noise, filter window size, and geological body edge direction so it can more accurately depict geological body edges than the conventional small sub-domain filtering method. It also shows that deeply buried body edges can be well delineated through increasing the filter window size. In application, the enhanced gravity anomalies and calculated gravity gradient tensors of the Hulin basin show that the improved small sub-domain filtering can recognize more horizontal fault locations than the conventional method.

On Filters of Double MS-algebras

Here some properties on filters of double MS-algebras are descripted. We show that,for a normal filter F of a double MS-algebra (L;0, + )(x,y) ∈θ(F) (a,b ∈ F) (x ∧α)∨b+= (y ∧ a)∨ b+.

DCS devices based non-linear process control system design for plants with distributed time-delay using particle filter

Remote control process system with distributed time-delay has attracted much attention in different fields.In this paper,non-linear remote control of a single tank process system with wireless network is considered.To deal with the distributed time-delay in a large-scale plant,the time-delay compensation controller based on DCS devices is designed by using operator theory and particle filter.Distributed control system(DCS)device is developed to monitor and control from the central monitoring room to each process.The particle filter is a probabilistic method to estimate unobservable information from observable information.First,remote control system and experimental equipment are introduced.Second,control system based on an operator theory is designed.Then,process system with distributed time-delay using particle filter is carried out.Finally,the actual experiment is conducted by using the proposed time-delay compensation controller.When estimating with the proposed method,the result is close to the case in which the distributed time-delay does not exist.The effectiveness of the proposed control system is confirmed by experiment results.