Table of Content

    16 September 2010
    Volume 45 Issue 9
    Transformation between concept knowledge granule and concept information granule
    ZHANG Qing-hua1,2, XING Yu-ke2, WANG Guo-yin2
    J4. 2010, 45(9):  1-6. 
    Abstract ( 808 )   PDF (332KB) ( 1574 )   Save
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    Based on both concept knowledge granule and concept information granule, the relationships between Ⅰ-concept information granule and Ⅱ-concept information granule are discussed, and a new transformation methods are presented. The new method further uncovers the relationship between concept knowledge granule and concept information granule. Many important conclusions given in this paper provide basic theories for generating approximate concepts and acquiring approximate rules from concept lattice. These research work further develop the granular computing theory.

    The interval-valued Rough set extended model based on dominance relation
    YANG Qing-shan, WANG Guo-yin, ZHANG Qing-hua, MA Xi-ao
    J4. 2010, 45(9):  7-13. 
    Abstract ( 731 )   PDF (429KB) ( 1319 )   Save
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     The interval-valued  information system is generalized model of single-valued information system. Four dominance relations are introduced to intervalvalued information system, and some important properties and relationships among four dominance relations are analyzed. Furthermore, based on limitations of four dominance relations, a novel dominance relation——α-dominance relation is proposed. And then, an extended Rough set model based on α-dominance relation is defined. Finally, through a teacher evaluation issue, performances of these extended rough set models based on dominance relation are also compared.

    Privacy preserving attribute reduction based on conditional information entropy over vertically partitioned multi-decision tables
    YE Ming-quan1,2, HU Xue-gang1, WU Chang-rong3
    J4. 2010, 45(9):  14-19. 
    Abstract ( 775 )   PDF (368KB) ( 1098 )   Save
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    A privacy-preserving set intersection cardinality computation protocol based on semi-trusted third party and commutative encryption is developed, which can be used to slove the privacy-preserving computational problems, such as information entropy computation and conditional information entropy computation. A privacy-preserving attribute reduction algorithm based on conditional information entropy for the vertically partitioned multi-decision tables is proposed.The algorithm can compute globally valid attribute reduction using the attribute reduction idea based on information viewpoint of Rough set theory, which can get accurate attribute reduction effect in the premise of no sharing of private information among participators. Analysis results show the proposed algorithm is efficient.

    The reduction theory of concept lattice based on its associated lattice
    WANG Bin-di, WEI Ling
    J4. 2010, 45(9):  20-26. 
    Abstract ( 732 )   PDF (359KB) ( 1119 )   Save
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    According to the relation between the concept lattice and its associated lattice, the isomorphism theorem is given. The reduction theory and methods is studied, which is the concept lattice based on its associated lattice. 

    The extended (topological) residuated lattice and Rough set
    MA Huan, ZHANG Xiao-hong*
    J4. 2010, 45(9):  27-31. 
    Abstract ( 704 )   PDF (308KB) ( 1516 )   Save
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    Based on the extended residuated lattice of extended Rough set, the concept of topological extended residuated lattice is introduced and its filter is studied. Also, the N-filter of the extended residuated lattice and the v-filter of well topological residuated lattice are also studied, and the quotient algebraic structures are constructed corresponding these filters.

    The Rough set in the frame of the system of medium axiomatic set theory
    ZHANG Min-min1, CAO Li-xia2
    J4. 2010, 45(9):  32-37. 
    Abstract ( 708 )   PDF (349KB) ( 1269 )   Save
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    The Rough set is studied using the medium set theory as a new tool. Firstly, some of its important properties of the standard medium operator are discussed; then the definition of medium operator with the corresponding equivalence relation is given, and it is shown that it satisfies the axiom. Considering the medium operator starting, the corresponding equivalence relations are constructed. Finally, it is proved that intermediary between the operator and equivalence are the only identified each other. The equivalence relations are transformed into a collection of Rough sets and the appropriate mediumiary operator will set into a medium set,which are equivalent. Rough set is brought into the framework of the medium theory axiom system, which lay a solid mathematical foundation for the Rough set.

    The representation theorem of lattice BR0-algebraic structure
    QIAO Xi-min1,2, WU Hong-bo1*
    J4. 2010, 45(9):  38-42. 
    Abstract ( 703 )   PDF (319KB) ( 1131 )   Save
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    BR0-algebraic structure is studied by using the basic character of the axiom in fuzzy propositional logic system BL*, and the different representations theorems of BR0-algebraic are given in bounded distributive lattice, bounded lattice and general lattice. Also, the expressions of corresponding different lattice R0-algebraic are pointed out.

    The category of L-fuzzy filter spaces
    LIU Hua-li
    J4. 2010, 45(9):  43-48. 
    Abstract ( 748 )   PDF (336KB) ( 969 )   Save
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    The notions of L-filter and L-fuzzy filter space are given, and lattice properties of the set of all L-filter on a fixed set X are disscussed. Then categorical properties of L-fuzzy filter space category LFIL are studied. The constructs of equivalizer and product in LFIL are given, and LFIL is proved to be a topological category. It is proved that there is an adjunction between category LFIL and category LCFIL.

    Outer PpF(f) -sets and their probability characteristics
    YU Xiu-qing1,2, DONG Li-hua1, HOU Yu-mei1, FAN Xin-ya1
    J4. 2010, 45(9):  49-52. 
    Abstract ( 670 )   PDF (295KB) ( 884 )   Save
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    F-double rough integrals and its boundary thickness
    FANG Wen-qing1,2
    J4. 2010, 45(9):  53-56. 
    Abstract ( 656 )   PDF (277KB) ( 808 )   Save
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    By employing function two direction S-rough sets, the concepts of F-double rough integrals and its boundary thickness are presented. When some attributes move in or out, F-double rough integrals and the boundary thickness change, and a series of dynamic laws is discussed. F-double rough integrals are one pair of integrals and can be identified by their boundary thickness. Finally, one identification theorem and two identification principles of F-double rough integrals are given.

    Identification and recovery of -F-distortion data
    LI Yu-ying1,2, XIE Wei-qi1,3, SHI Kai-quan1
    J4. 2010, 45(9):  57-61. 
    Abstract ( 843 )   PDF (337KB) ( 1637 )   Save
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    Regularity of viscosity solutions to Hessian equations
    DAI Li-mei
    J4. 2010, 45(9):  62-64. 
    Abstract ( 723 )   PDF (244KB) ( 1008 )   Save
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    The C1,1 regularity of viscosity solutions to Hessian equations is obtained by the approximation and the strong maximum principle.

    Alternately restarted Krylov subspace methods for large linear systems of equations
    LU Feng
    J4. 2010, 45(9):  65-69. 
    Abstract ( 717 )   PDF (410KB) ( 771 )   Save
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    The restarted Krylov subspace methods, including the Galerkin method and the leastsquares method, are popular and important for solving large linear systems of equations. However, the Galerkin method may suffer from serious breakdown, and the leastsquares method may encounter complete stagnation. To overcome the problems, a new restarting scheme, called the alternately restarting scheme, is proposed in this paper. The underlying idea is to use the Krylov subspaces generated by the coefficient matrix and its transpose alternately. We show that for an alternately restarted Krylov method, its residual tends to get the same reduction in every eigenvector direction, and therefore its convergence can be significantly improved. Numerical experiments are conducted, which indicate that the alternately restarted Krylov subspace methods are efficient and robust.

    Relative efficiencies of Bayes estimator and generalized least square estimator under misspecified prior assumption
    ZHOU Xiao-shuang1,2
    J4. 2010, 45(9):  70-73. 
    Abstract ( 656 )   PDF (284KB) ( 830 )   Save
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    Bayes estimator of regression coefficients under misspecified prior assumption was discussed,and a new relative efficiency of Bayes estimator and GLSE(generalized least square estimator) was proposed. Also, some better properties of the new relative efficiency were proved and its upper and lower bounds were obtained.

    Theoretical analysis and numerical simulation of random walk under sinusoidal force field
    WANG Yao
    J4. 2010, 45(9):  74-78. 
    Abstract ( 852 )   PDF (1553KB) ( 958 )   Save
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    It is crucial to study the random walk behavior under sin function form force field for the explanation of the response of system under harmonic disturbances. Based on the fundamental model of random walk, reasonable simplification of response model and solvable theoretical model were proposed. Furthermore, the simulation of this model was carried out by using Monte Carlo method,and the results was very close to the theoretical ones.

    Effects of boundary conditions on the moving of spheres on a granular medium
    YU You-sheng, HU Lin*, GONG Cheng, ZHANG Guang-hua
    J4. 2010, 45(9):  79-82. 
    Abstract ( 649 )   PDF (1029KB) ( 1445 )   Save
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    In order to recognize the motion rules of an object on granular medium, a granular medium sloping flume of adjustable width was built to observe the moving behaviors of spheres on a granular medium by high speed camera. The relations between the moving distance of the  sphere and the flume width/sphere diameter ratio were respectively studied with different density of sphere and different size of granular medium. It was  found that the moving distance decreased with the flume width/sphere diameter ratio, and the boundary effect degree decreased with the flume width/sphere diameter ratio exponentially, and the density of the  sphere affected the moving distance in three regions, and there were a certain relationship between the  effective friction coefficient and the  moving distance of the sphere.

    The ultimate bound and positively invariant set of a new Lorenz-like chaotic system and its application in chaos synchronization
    YANG Hong-liang1, ZHANG Fu-chen2*, SHU Yong-lu2, LI Yun-chao3
    J4. 2010, 45(9):  83-89. 
    Abstract ( 769 )   PDF (839KB) ( 889 )   Save
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    The ultimate bound and positively invariant set of a new Lorenz-like system was investigated by constructing a positively definite and radically unbounded Lyapunov function and optimation theory. For this system, the three-dimensional ellipsoidal estimation and  two-dimensional estimation about x-z were obtained. Then the upper bound about x,y,z was applied to the chaos synchronization to design a simple linear controller,and its complete synchronization was studied. Numerical simulations were presented to show the effectiveness of the proposed scheme.

    The distribution of mass loss rate from stellar wind based on the model of triaxial ellipsoid
    LU Yuan1, SONG Han-feng2, ZHONG Zhen3
    J4. 2010, 45(9):  90-95. 
    Abstract ( 1082 )   PDF (1455KB) ( 1130 )   Save
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    By using the model of the triaxial ellipsoid and theoretical calculations,the distriution of mass loss rate from stellar wind of the components was numerically simulated and analyzed.The results showed that effective gravitational acceleration and opacity had the influence on the distribution, and the distriution of mass loss rate was non-uniform.Moreover,under the combined effect of the distribution and deformation of the components, the distribution of angular momentum loss rate was also non-uniform.

    Effect of self-interactions on the transition density of hyperon stars
    ZHAO Xian-feng1, ZHANG Hua2
    J4. 2010, 45(9):  96-100. 
    Abstract ( 709 )   PDF (972KB) ( 1111 )   Save
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    The effect of selfinteraction on the transition density of hyperon stars was examined in the framework of relativistic mean field theory for the baryon octet {n,p,Λ,Σ-0+-0}system. It was found that the transition density of hyperon stars increased compared with those without considering the contribution of self-interaction. The critical baryon density increased when the hyperons Σ0 and Σ+ appeared, but it decreased when the Λ,Ξ-,Σ- and Ξ0 appeared. For the transition density of hyperon stars, the hyperons Λ and Ξ- make a greater contribution to the hyperon number density, more than 80 percent. The presence of self-interaction makes the relative number density of Ξ-  and Ξ0 increase but that of Λ,Σ-,Σ0 and Σ+ decrease.

    Janssen behavior of silos with Rankine passive stresses
    LI Xiang-qun, JIANG Yi-min, PENG Zheng, FU Li-ping, ZUO Jing, ZHENG He-peng, WANG Lu-zhu
    J4. 2010, 45(9):  101-104. 
    Abstract ( 852 )   PDF (1576KB) ( 1355 )   Save
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    The relationship of the minimum values of silo bottom pressures’ changing with the different quantities of filled grain mass and the silo diameters for two different grain sizes was studied. It was found that the data could be well fitted with the Janssen formula. However, the ratio between horizontal and vertical stresses was about 2, much bigger than the ratio 0.4 estimated with the Jaky formula in the Norm of silo engineering, which implied that the stresses of these minimum pressure silos were close to the Rankine passive state. The results showed that although the stress states of the silos was different, they obey well the assumptions given by Janssen.

    The radiation energy flux and radiation power of general static spherically symmetric charged black hole
    LIU Jing-lun
    J4. 2010, 45(9):  105-108. 
    Abstract ( 708 )   PDF (305KB) ( 1020 )   Save
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    By using the statistical entropy of the Dirac field of the static spherically symmetric black hole, the generalized Stefan-Boltzmann’s law of the general static spherically symmetric charged black hole was obtained. The result showed that the radiant emittance of a black hole was proportional to quartic power of the temperature of its event horizon. the radiation energy flux and radiation power of the general static spherically symmetric charged black hole were studied by using the thermal particle model. It was found that when the values of η, m, Q and Ψ were fixed,the radiation energy flux received by the observer was inversely proportional to the square of the distance between the observer and the black hole.

    Study on the extraction of gallium by microemulsions
    ZHAO Xi-dan1, LU Yan-min1, YANG Yan-zhao1, 2*
    J4. 2010, 45(9):  109-112. 
    Abstract ( 734 )   PDF (396KB) ( 1331 )   Save
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     The thermodynamics of the gallium extraction by two different kinds of microemulsions were studied. The microemulsion, which contained cationic surfactant or anionic surfactant, was composed of cetyltrimethylammonium bromide (CTAB)/n-butanol/n-heptane/HCl(solution) or sodium oleate (NaOL)/npentanol/n-heptane/HCl(solution). The variables such as the equilibrium time, the volume ratio between two phases, HCl′s molarity and the extractant concentration were tested, and the optimized conditions of extraction were fixed. The effects of different nature of the surfactants on the extraction were also discussed. The results showed that, in pretty short time, the extraction ratio by the microemulsion systems could achieve 98%. Microemulsion was proved to be an outstanding extraction medium.

    Preparation of Al-doping TiO2 and effect of acid  treatment on its photocatalytic activity
    ZHANG Guo-qiang, LIU Yan, ZHOU Ai-qiu, XU Xiao-hong*
    J4. 2010, 45(9):  113-116. 
    Abstract ( 636 )   PDF (1177KB) ( 1039 )   Save
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     Anatase phase has a far higher photocatalytic activity than the rutile phase. Al doped TiO2 photocatalysts were prepared by a chemical solution decomposition method and treated with concentrated nitric acid. The samples were characterized by TG-DTA, XRD, FTIR, BET and UV-Vis, and the effects of acid treatment on the photocatalytic activities of the Al doped TiO2 samples were analyzed by degradation of methyl orange. The results suggested that Al-doping could effectively inhibit the phase transformation from anatase to rutile. The specific surface area and photocatalytic activity of Al doped TiO2 were increased by acid treatment. The Al doped TiO2 (Al∶ Ti=1∶ 4) by acid treatment delivered the highest photocatalytic activity, and the degradation ratio of methyl orange was 100% after 60 min.

    Synthesis of pyridaben-layered double hydroxides hybrids using coprecipitation method
    ZHANG Shao-jie, XU Jie, HOU Wan-guo*
    J4. 2010, 45(9):  117-121. 
    Abstract ( 728 )   PDF (1215KB) ( 1550 )   Save
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    A non-ionic and poorly water-soluble pesticide, pyridaben, was intercalated into the gallery of layered double hydroxides (LDHs) using coprecipitation method in ethanol-water mixed solvent medium, obtaining pyridaben-LDHs hybrids. According to the gallery height of pyridaben-LDHs and sizes of pyridaben molecule, a probably morphology of pyridaben molecules in the gallery of LDHs was suggested that pyridaben molecules arranged as monolayer with the long axis tilted to the LDHs layers. The release kinetics of pyridaben from the hybrids was investigated in ethanol-water solution, and it was found that the release process may fit to the pseudo-second-order release kinetics and the diffusion through the LDHs particle of pyridaben played an important role in controlling the drug release rate. The hybrids could control the release of pyridaben, showing that the hybrids will be a potential pesticide controlled-release formulation.

    Construction of an oxygen-responsive system using VGB promoter for  expression of heterologous proteins in Escherichia coli
    ZHANG Han-xing1, LI Shi-zhong1*, QI Qing-sheng2
    J4. 2010, 45(9):  122-126. 
    Abstract ( 770 )   PDF (1167KB) ( 1001 )   Save
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    We employed Pvgb, oxygen-dependent promoter of VHb, for self-tuning regulation of green fluorescent protein (GFP) expression according to the natural transition of dissolved oxygen (DO) level during culture. A series of plasmid vectors have been created using promoter of varying size (Pvgb-L or Pvgb-S) to drive expression of GFP. We compared transcription and protein accumulation between each expression vector. Pvgb transcript level appears to parallel GFP protein accumulation. GFP expression in Escherichia coli strain was very largely affected by variation of aeration environment. Strong expression of xylose genes were also observed using low aeration in recombinant E. coli W3110(ΔpflB, ΔadhE) harboring pSK(Pvgb, xylA, xylB, talA, tktA).These vectors induced by Pvgb should be useful for overexpression of heterologous proteins and potentially metabolic engineering of E.coli strains.