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Fuzzy Maximum Likelihood Estimator

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Fuzzy Maximum Likelihood Estimator

第三届中国智能计算大会

作者： Jicai Liu,Huanbin Liu college of mathematics and information sciences,shanghai Normal University,shanghai 200234 college of mathematics and information sciences,Huanggang Normal University,Hubei 438000

＜正＞This paper proposes the new concept of fuzzy maximum likelihood estimator based on credibility distribution of fuzzy *** invariance properties of fuzzy maximum likelihood estimator are *** convergence under give... 详细信息

关键词： credibility measure fuzzy variable maximum principle maximum likelihood estimator

Utility Function of Uncertain Variable and Premium Pricing

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Utility Function of Uncertain Variable and Premium Pricing

第八届中国不确定系统年会

作者： Yan Pan Jin Peng college of mathematics and Science,shanghai Normal University,shanghai,200234 college of mathematics and information sciences,Huanggang Normal University,Hubei,438000

＜正＞This paper proposes the concept of the utility function of uncertain *** basic properties of the utility function of uncertain variable are ***,we show some applications of utility function of uncertain variable... 详细信息

关键词： utility function uncertain variable risk-averse expected value

Credibilistic Bonferroni Curve and Bonferroni Index in Fuzzy Systems

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Credibilistic Bonferroni Curve and Bonferroni Index in Fuzzy...

第三届中国智能计算大会

作者： Wen Dong,Jin Peng college of mathematics and Science,shanghai Normal University,shanghai 200234 college of mathematics and information sciences,Huanggang Normal University,Hubei 438000

Bonferroni curve and Bonferroni index are used to provide a sensitive measure of income *** this paper,we proposes the new concept of credibilistic Bonferroni curve and Bonferroni index based on credibility ***, we recall a brief history of Bonferroni curve and Bonferroni index in stochastic ***, the concepts of credibilistic Bonferroni curve and Bonferroni index are formally ***, some basic properties of credibilistic Bonferroni curve and Bonferroni index are ***, some common credibilistic distributions are illustrated.

关键词： credibility theory fuzzy variable credibility distribution credibilistic Bonferroni curve Bonferroni index

The Pricing of Compound Options in Fuzzy Financial Market

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The Pricing of Compound Options in Fuzzy Financial Market

第二届中国智能计算大会

作者： Wen Dong Jin Peng college of mathematics and Science shanghai Normal University shanghai 200234 college of mathematics and information sciences Huanggang Normal University Hubei 438000

＜正＞This paper presents pricing formulas of compound options for fuzzy markets based on a class of stock model,that is,Liu’s stock ***,a brief history of option pricing theory has been ***,we recall some definitions and results of fuzzy ***,we introduce compound options based on European options for Liu’s stock model in fuzzy financial market.

关键词： fuzzy process Liu process compound options

The response of electron transport mediated by active NADPH dehydrogenase complexes to heat stress in the cyanobacterium Synechocystis 6803

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Science China(Life sciences) 2008年第12期51卷 1082-1087页

作者： MA WeiMin, WEI LanZhen & WANG QuanXi college of Life and Environment sciences, shanghai Normal University, shanghai 200234, China 1. college of Life and Environment sciences Shanghai Normal University Shanghai 200234 China

The electron-transport machinery in photosynthetic membranes is known to be very sensitive to heat. In this study, the rate of electron transport (ETR) driven by photosystem I (PSI) and photosystem II (PSII) during heat stress in the wild-type Synechocystis sp. strain PCC 6803 (WT) and its ndh gene inactiva-tion mutants △ndhB (M55) and △ndhD1/ndhD2 (D1/D2) was simultaneously assessed by using the novel Dual-PAM-100 measuring system. The rate of electron transport driven by the photosystems (ETRPSs) in the WT, M55, and D1/D2 cells incubated at 30℃ and at 55℃ for 10 min was compared. Incubation at 55 ℃ for 10 min significantly inhibited PSII-driven ETR (ETRPSII) in the WT, M55 and D1/D2 cells, and the ex-tent of inhibition in both the M55 and D1/D2 cells was greater than that in the WT cells. Further, PSI-driven ETR (ETRPSI) was stimulated in both the WT and D1/D2 cells, and this rate was increased to a greater extent in the D1/D2 than in the WT cells. However, ETRPSI was considerably inhibited in the M55 cells. Analysis of the effect of heat stress on ETRPSs with regard to the alterations in the 2 active NDH-1 complexes in the WT, M55, and D1/D2 cells indicated that the active NDH-1 supercomplex and medi-umcomplex are essential for alleviating the heat-induced inhibition of ETRPSII and for accelerating the heat-induced stimulation of ETRPSI, respectively. Further, it is believed that these effects are most likely brought about by the electron transport mediated by each of these 2 active NDH-1 complexes.

关键词： active NDH-1 complexes heat response photosystems-driven electron transport Synechocystis 6803

Hilbert's Sixteenth Problem and Its Generalization

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Journal of shanghai University(English Edition) 2001年第2期5卷 96-103页

作者： SHENG Ping xing Department of mathematics, college of sciences, shanghai University, shanghai 200436, China Department of mathematics College of Sciences Shanghai University Shanghai China

This paper deals with Hilbert's 16th problem and its generalizations. The configurations of all closed branches of an algebraic curve of degree n are discussed. The maximum number of sheets for an algebraic equation of degree n and the maximum number of limit cycles for a planar algebraic autonomous system are achieved. The author also considers different generalizations and some related problems.

关键词： algebraic curve sheet limit cycle algebraic variety irreducible and prime polynomial cardinal number configuration

L_p-mixed intersection bodies

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Science China mathematics 2008年第12期51卷 2172-2188页

作者： ZHAO ChangJian Department of information and mathematics sciences, college of Science, China Jiliang University, Hangzhou 310018, China Department of information and mathematics sciences College of Science China Jiliang University Hangzhou 310018 China

In this paper the author first introduce a new concept of Lp-dual mixed volumes of star bodies which extends the classical dual mixed volumes. Moreover, we extend the notions of Lp- intersection body to Lp-mixed intersection body. Inequalities for Lp-dual mixed volumes of Lp-mixed intersection bodies are established and the results established here provide new estimates for these type of inequalities.

关键词： L p -dual mixed volumes L p -intersection bodies L p -mixed intersection bodies 52A40

Explicit formula of holomorphic automorphism group on complex homogeneous bounded domains

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Science China mathematics 2006年第10期49卷 1392-1404页

作者： XU Yichao,CHEN Minru & MA Songya Academy of mathematics and Systems Science, Chinese Academy of sciences, Beijing 100080, China college of mathematics and information sciences, Henan University, Kaifeng 475001, China Academy of mathematics Systems Science Chinese Academy of Sciences Beijing 100080 China college of mathematics information sciences Henan University Kaifeng 475001 China

We known that the maximal connected holomorphic automorphism group Aut (D)(0) is a semi-direct product of the triangle group T(D) and the maximal connected isotropic subgroup Iso (D)(0) of a fixed point in the complex homogeneous bounded domain D and any complex homogeneous bounded domain is holomorphic isomorphic to a normal Siegel domain D(VN,F).In this paper, we give the explicit formula of any holomorphic automorphism in T(D(VN,F)) and Iso (D(VN, F))(0), where G(0) is the unit connected component of the Lie group G.

关键词： holomorphic automorphism group, homogeneous Siegel domain, normal Siegel domain, complex homogeneous bounded domain.

Identification and construction of Boolean functions with maximum algebraic immunity

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Science China(information sciences) 2010年第7期53卷 1379-1396页

作者： LIU MeiCheng, PEI DingYi & DU YuSong college of mathematics and information sciences, Guangzhou University, Guangzhou 510006, China 1. college of mathematics and information sciences Guangzhou University Guangzhou 510006 China

Boolean functions with maximum algebraic immunity have been considered as one class of cryptographically significant functions. It is known that Boolean functions on odd variables have maximum algebraic immunity if and only if a correlative matrix has column full rank, and Boolean functions on even variables have maximum algebraic immunity if and only if two correlative matrices have column full rank. Recently, a smaller matrix was used in the odd case. We find that one or two smaller matrices can be used in the even case and consequently present several sufficient and necessary conditions for Boolean functions with maximum algebraic immunity. This result advances the ability to identify whether Boolean functions on even variables achieve maximum algebraic immunity. We also present a construction algorithm for n-variable Boolean functions with maximum algebraic immunity, specially with the Hamming weights of ∑2 n i=0 -1 . It is easily realized for not too large n and helps construct balanced Boolean functions with maximum algebraic immunity on even variables. Furthermore, we present a sufficient and necessary condition for balanced Boolean functions to achieve maximum algebraic immunity and optimum algebraic degree, and modify the construction algorithm to con- struct Boolean functions on odd variables with maximum algebraic immunity, optimum algebraic degree and high nonlinearity.

关键词： Boolean functions MAI functions algebraic attacks algebraic immunity algebraic degree non-linearity