Fuzzy logic algebra NBR₀  was proposed, and its interior structure was studied. A new operator  on NBR₀algebra is defined and its properties are studied. The relations between the ,→₁,→₂ operator and old operator were discussed, based on which a suffcient and necessary condition for NBR₀algebra was obtained.

Using compactness of a modified criterion and the Schauder fixed point theorem, we investigated the initial value problem for a class of fractional differential equations with an infinite number of impulses in Banach space, and obtained the existence of  solutions of this kind of equation.

Using the theories of Quantale and Quantale module, we introduced the concept of Quantale algebra nucleus. Then we studied some properties of Quantale algebra nucleus and dicussed the relationship between Quantale algebra nucleus and Quantale algebra congruence. Finally, we obtained the extension theorem of Quantale algebra nucleus.

The author generalized some properties of the generalized Frattini ideals of Lie algebras to Leibniz-n-algebras and obtained some theorems of generalized Frattini ideals of Leibniz-n-algebras. Moreover, the author gave some properties of nilpotent radicals and cores for Leibniz-n-algebras.

We used a theorem given by Strichartz to discuss the spectrality of selfaffine measures of collinear digit set. We gave a method to deal with the spectrality with collinear case on R³.

We discussed the semicommutative and Armendariz properties of the subring S₄(R) of 4×4 matrix ring M₄(R). It was shown that S₄(R) is an Armendariz and semicommutative ring if R is a reduced ring with compatible endomorphisms α₁,α₂,α₃,α₄.

Based on the maximum likelihood estimation method and the alternating direction method to estimate the parameters of Kriging model, a Kriging model parameter optimization algorithm based on active set conjugate gradient method was proposed on the basis of which the global optimization algorithm was improved. Finally, the problem of premature convergence has been solved by means of the improved global optimization algorithm.

For the estimates  of ‖A^-1‖_∞ of a strictly diagonally dominant Mmatrix A, several monotone nonincreasing sequences for the upper bounds of the elements of A^-1 were given by constructing iterative format with the entries of matrix A. Thus, a sequence for the upper bounds of ‖〖A^-1‖_∞ was obtained with the aid of the upper bounds of the elements of A^-1. It is proved that the sequence is monotone nonincreasing with a lower bound ‖A^-1‖_∞ and, consequently, the sequence is convergent. The given numerical example shows that these bounds improve several existing results.

Based on  the range for the elements of inverse matrix, a new upper bound of the infinity norm of inverse matrix of a strictly diagonally dominant M-matrix was presented so as to obtain a lower bound of the minimum eigenvalue of the M-matrix. Meanwhile, a new upper bound of the infinity norm of inverse matrix of a strictly α-diagonally dominant M\|matrix was given. Theory analysis and numerical examples show that these bounds improve existed results.

More general counterexamples to D(d)-VDTC conjecture were obtained by means of reduction to absurdity and the method of combinatorial analysis. These examples also show that the difference between D(d)-vertex distinguishing total chromatic number and its trivial lower bound may exceed arbitrary positive integer.

Aimming at low accuracy solutions and the premature convergence problem in the reliability redundancy optimization problems, we proposed an adaptive differential evolution algorithm, which modified mutation operator and crossover operator on the basis of the original differential evolution algorithm. In the process of evolution, the scale factor F and crossover probability CR were adaptively adjusted by trigonometric function respectively to improve the diversity of the feasible solution and convergence rate of the algorithm. It solved the low accuracy solutions and premature convergence problems of the reliability redundancy optimization problems. Experimental results show that the algorithm not only improves the accuracy of solution, but also has better stability and faster convergence rate for solving the reliability redundancy optimization problem.

In view of the internal correlation of virtual cluster and the running feature of parallel jobs, we proposed a virtual resource consolidation algorithm based on virtual cluster live migration. Firstly, we modeled the system and described the virtual resource consolidation problem in cloud computing environment. Secondly, we used region division to classify heterogeneous resources so as to reduce the size and complexity of the problem. Finally, we proposed a FFD_grp algorithm for virtual cluster migration in the homogeneous subdomains. We used the same load and various resource allocation methods to simulate a wide variety of resource usage, and then vertified FFD_grp algorithm. The experimental results show that it can significantly improve the effect of resource consolidation and restrain the occurrence of resource fragment.

When a query point had multiple objects, the traditional query methods queried every points, resulting in a very long running time. We considered multiple query points as a whole and proposed the group reverse k nearest neighbor (GRkNN) method with the pruningverification phases. The experiments show that the method can update database more efficiently, and shorten the running time.

According to the cloud classfication problem, we put forward a new cloud classification method. Firstly, we established a sample database of multiple clouds and surface types by using realtime cloud image data of FY2 geostationary meteorological satellite, and extracted the spectral features and texture features of known samples. After pretreating the cloud image by median filter, we clustered on the cloud area by using an algorithm based on density clustering algorithm with noise. Finally, we matched spectral features and texture features of the cloud, and determined the type of cloud. The experiment
shows that the method, with clouds as the unit, is easy to realize automation of cloud classification.

Aiming at the problem of image processing, we proposed a fast single image dehazing method based on feature fusion, and solved the problem of the block effect of dark channel method. By means of the dark channel prior based on K-means clustering, the coarsescale transmission was obtained. By analyzing the effect of haze on imaging, we extracted the saturation of hazy image itself as finescale transmission, which could reflect the change of scene depth effectively. Finally, we obtained accurate transmission via image fusion technique. Through the test of a variety of realscene images, the experiment results show that the method is simple and effective, and can get ideal dehazing result.

Aimming at media flow in the network had higher demands for delay and throughput, but static flow and queue management mechanism was difficult to adapt to the actual needs of various problems. We proposed an adaptive queue algorithm, which used software to define network and flow management abilities. The algorithm could flexibly allocate resources and priorities for flow, and effectively improved the utilization of network resources. Simulation results verified the feasibility of the method.

Due to the different needs of different users, resource limitation of system and other reasons in the policy based network management system, these reasons led to conflict between policies, and system could not play a normal function. We proposed a conflict detection algorithm based on predicate reasoning, which could be obtained the conflict relationship between strategies by means of the trigger condition and the action effect of the predicate expression strategy. Compared with the traditional methods, this method has good flexibility and extensibility.

Using FeCl3·6H2O as the precursor and poly(vinyl pyrrolidone) (PVP, Mw=8 000) as the surfactant, we synthesized α-Fe₂O₃ with bundleflowerlike hierarchical architectures through a hydrothermal reaction combined with subsequent calcination process. The sample structure was characterized by field emission scanning electron microscopy (FESEM) and transmission electron microscopy (TEM). The results show that the sample structure is assembled by a rod bundle, each of which consists of a number of single crystal nanorods; the sensor  made by this structure has good selectivity and high response to acetone at 200 ℃.

Using density functional B3P86 and timedependent density functional theory (TD-DFT) method, the author calculated wavelengths, oscillator strengths and excitation energy of chiral ibuprofen molecules from ground state to the excited states of 1—10 at the 6-311++g(d,p) basis sets, and studied the influence of the excited states of chiral ibuprofen molecules under different external electric fields. The results show that the HOMO-LUMO energy gaps
 are gradually weakened, and the excitation energies decrease sharply with the increase of the external electric field intensity. The molecules can be easily excited and dissociated under the action of external electric field.

We considered dynamical behaviors in a series array consisting of three intrinsic resistivecapacitiveinductiveshunted (IRCLshunted) Josephson junctions (IRCLSJJs), and proposed a scheme to control hyperchaos in the array based on the linear feedback theory. Numerical simulation results show that the array system can be in periodic, chaotic or hyperchaotic states with different parameter ranges; the scheme can make hyperchaotic states of the array enter the stable periodic states. And the stable periodic states with different period numbers can be obtained by adjusting the feedback intensity.

With a mixture of nitrogen and argon as sputtering gas and ZnO as target N doped ZnO films were prepared via radio frequency magnetron sputtering technique by changing the nitrogen flux. The nitrogen flux was controlled to be 0,8,20,32 mL/min, respectively, and the effect of nitrogen flux on the optical properties of ZnO∶N thin films was investigated. It was found that with the nitrogen flux increasing, the band gap decreased and the absorption band edge showed red shift. In the roomtemperature photoluminescence spectra, the nearbandedge emission peaks showed red shift. And the intensity ratio between the ultraviolet nearedge emission and the visible deep energy level emission reduced. The Raman peaks at 272，642 cm^-1increased  with the nitrogen flux increasing.

Using Elecnrtlelectrolyte module of Aspen Plus, we determined the acid ratio of low temperature phosphatizingsolution in the zinc phosphate system by means of simulating the neutralization titration process, and investigated the effects of basic treatment agents and additives on the acid ratio of the phosphatizingsolution. The simulation results are in good agreement with the experimental data.

We used CaCO₃ as a template to synthesize hollow mesoporous silica nanoparticles (HMSNs), and characterized the samples by means of transmission electron microscope (TEM) and small angle Xray diffraction (SAXRD). The in vitro biocompatibility and endocytosis properties of HMSNs were detected on A549 cells by flow cytometry. The results show that CaCO_3HMSNs is the nanopartocles, where CaCO₃ is the core and mesoporous silica is the shell; the survival rate of the cells is 100% when the mass concentration of HMSNs is 62.5 μg/mL; the HMSNs materials are absorbed by 92.80% of A549. That is, the HMSNs has a higher endocytosis and biocompatibility.

Taking E.coli as the host, we expressed a recombinant protein of Yersinia pestisouter protein H(ΔYopH), which contained the catalytic domain of protein tyrosine phosphatase YopH. After purification, with the ΔYopH as the target, we studied inhibitory effect from 111 kinds of traditional Chinese medicine (TCM) aqueous extracts via an \%in vitro\% enzymatic reaction kinetics experiment, and found three TCMs had obvious inhibitory effect. They were gallnut, sanguisorba and pomegranate peel. Further more, we analyzed their median inhibitory concentration (IC\-\{50\}) values and inhibitory types.