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第二届不确定系统年会

作者： Xiaoyu Ji Uncertainty Theory Laboratory, department of mathematical sciences tsinghua university, beijing 100084, china

In this paper, we formulate the models for the newsboy problem with fuzzy demands and quantity discounts in hierarchical decision system. In this model, a bilevel system are studied, and the manufacturer is considered as the decision-maker(DM) of the top or first level and decides the wholesale price of newspaper in order to maximize his profit, while the retailers are the DMs of the second or lower level and decide the ordering quantities of newspaper in order to maximize their own expected profits. To solve the model, a hybrid intelligent algorithm based on genetic algorithm and fuzzy simulation is developed, and some numerical examples are given to illustrate this algorithm effectiveness.

关键词： newsboy problem bilevel programming quantity discount fuzzy simulation.

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Foundation of Uncertainty Theory

Foundation of Uncertainty Theory

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第五届中国不确定系统年会

作者： Baoding Liu Uncertainty Theory Laboratory department of mathematical sciences tsinghua university,beijing 100084,china

＜正＞A classical measure is essentially a set function （i.e.,a function whose argument is a set）satisfying nonnegativity and countable additivity axioms. Classical measure theory,developed by Emile Borel and Henri ...

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On Inequalities and Critical Values of Fuzzy Random Variable

On Inequalities and Critical Values of Fuzzy Random Variable

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第二届不确定系统年会

作者： Lixing Yang Uncertain Theory Laboratory, department of mathematical sciences tsinghua university, beijing 100084, china

It is well-known that Holder’s inequality, Minkowski inequality, Markov inequality, Chebyshev inequality and Jensen’s inequality are important and useful results in probability theory. In this paper, in order to further discuss the mathematical properties of fuzzy random variable, the analogous inequalities for fuzzy random variable are first proved based on the chance measure and expected value operator. After that, the continuity of critical values of fuzzy random variable are also investigated. Finally, a conclusion is made in the end of this paper.

关键词： Fuzzy Random Variable Expected Value Operator Chance Measure Critical Value

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Some Properties of Uncertain Renewal Process

Some Properties of Uncertain Renewal Process

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第九届中国不确定系统年会、第五届中国智能计算大会、第十三届中国青年信息与管理学者大会

作者： Kai Yao Uncertainty Theory Laboratory,department of mathematical sciences tsinghua university,beijing 100084,china

Uncertain renewal process is an important uncertain *** paper discusses some sample properties of uncertain renewal ***, it gives some theorems on first hitting time of renewal process.

关键词： Uncertainty theory Uncertain process Renewal process First hitting time

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FLAT TIME-LIKE SUBMANIFOLDS IN ANTI-DE SITTER SPACE H12n-1 （-1）

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Chinese Annals of Mathematics,Series B 2005年第3期 457-466页

作者： ZUO DAFENG CHEN QING CHENG YI department of Mathematics, university of Science and Technology of china, Hefei 230026, china department of mathematical sciences, tsinghua university, beijing 100084, china. department of Mathematics, university of Science and Technology of china, Hefei 230026, china. department of Mathematics, university of Science and Technology of china, Hefei 230026, china.

By using dressing actions of the G(n1,n-1)1,1-system, the authors study geometric transformations for flat time-like n-submanifolds with flat, non-degenerate normal bundle in anti-de Sitter space H1(2n-1)(-1), where G... 详细信息

关键词： Dressing action G(n-1) (n-1)1 1-System Flat time-like submanifold

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Multi-dimensional Liu Process,Differential and Integral

Multi-dimensional Liu Process,Differential and Integral

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第一届中国智能计算大会

作者： Cuilian You department of mathematical sciences,tsinghua university,beijing 100084,china department of Mathematics and Computer Science,Hebei university,Baoding 071002,china

＜正＞Liu process is a type of fuzzy process and is the counter- part of Brownian motion（Wiener process）in stochastic process,Liu formula in fuzzy process is corresponding to Ito formula in stochastic process,and Liu integral in fuzzy process plays the role of Ito integral in stochastic *** this paper,Liu process,Liu formula and Liu integral were extended to the case of multi-dimensional.

关键词： fuzzy variable fuzzy process Liu process Liu integral

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Fuzzy Quadratic Minimum Spanning Tree Problem

Fuzzy Quadratic Minimum Spanning Tree Problem

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第二届不确定系统年会

作者： Jinwu Gao Mei Lu Uncertainty Theory Laboratory, department of mathematical sciences tsinghua university, beijing 100084, china

In this paper, a fuzzy quadratic minimum spanning tree problem is formulated as expected value model, chance-constrained programming and dependent-chance programming according to different decision criteria. Then the crisp equivalents are derived when the fuzzy costs are characterized by trapezoidal fuzzy numbers. Furthermore, a simulation-based genetic algorithm using Prufer number representation is designed for solving the proposed fuzzy programming models as well as their crisp equivalents. Finally, a numerical example is provided for illustrating the effectiveness of the genetic algorithm.

关键词： Minimum spanning tree fuzzy programming genetic algorithm credibility measure

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Inhomogenous quantum codes (Ⅰ):additive case

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Science china Mathematics 2010年第9期53卷 2501-2510页

作者： WANG WeiYang1,FENG RongQuan1 & FENG KeQin2 1School of mathematical sciences,Peking university,beijing 100871,china 2department of mathematical sciences,tsinghua university,beijing 100084,china

In this paper,the quantum error-correcting codes are generalized to the inhomogenous quantumstate space Cq1  Cq2 ··· Cqn,where qi(1 i n) are arbitrary positive *** attaching an abelian group Ai of order qi to the space Cqi(1 i n),we present the stabilizer construction of such inhomogenous quantum codes,called additive quantum codes,in term of the character theory of the abelian group A = A1⊕A2⊕···⊕*** usual case,such construction opens a way to get inhomogenous quantum codes from the classical mixed linear *** also present Singleton bound for inhomogenous additive quantum codes and show several quantum codes to meet such bound by using classical mixed algebraic-geometric codes.

关键词： quantum code mixed code character finite abelian group algebraic-geometric code stabilizer

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Uncertainty Distribution of Functions of Uncertain Variables

Uncertainty Distribution of Functions of Uncertain Variables

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第七届中国不确定系统年会

作者： Zixiong Peng,Xiaowei Chen Uncertainty Theory Laboratory,department of mathematical sciences tsinghua university,beijing 100084,china

＜正＞Uncertainty distribution is an important property of uncertain *** this paper,uncertainty distributions of functions of uncertain variables are discussed,and some formulas are given.

关键词： Uncertain variable Uncertainty distribution

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Fuzzy Expected Value Integer Programming Models for Capital Budgeting Problem

Fuzzy Expected Value Integer Programming Models for Capital ...

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第四届中国青年运筹与管理学者大会

作者： Lu Mei Gao Jinwu(Uncertain Systems Laboratory, department of mathematical sciences tsinghua university, beijing 100084,china)

This paper attempts to model capital budgeting problem by a new integer programming-fuzzy expected value model. Simplex method is employed to solve the models. Some numerical examples are provided to illustrate the po... 详细信息

关键词： capital budgeting fuzzy expected value model simplex algorithm

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