The traditional d - s is not fit for speaker recognition application ; the paper proposes close - set fusion and open - set fusion functions to meet the different kinds of speaker recognition application requirement 对于证据融合方式，本文在分析了d - s理论和现有的融合公式后，提出了适合说话人识别不同应用的开集和闭集融合公式，并讨论了其中参数的选取。
This paper consists of five parts . in the first chapter the markov chains in random environment are defined and some properties of the markov in random environment are studied . in the second chapter , we study the existence properties of minimal closed sets and give some conditions for existence of minimal sets . by closed set , in the conditions of - irreducible markov chains , we study x ' s recurrence i . e , spread the conclusion for theory of classics markov chains . in the fourth chapter , we study criteria of e and classify criteria . in the fifth chapter , the weak crgodicity of x ' s and when does c1 = c are studied 在第一章，定义了随机环境中的马氏链并给出了一些基本性质。在第二章，研究了平稳环境中马氏链的闭集及最小闭集，部分的回答了orey未解决的开问题。在第三章，以闭集作为研究手段，在-不可约性的前提下，对单链(
My main work is as following : 1 ) applying feature mapping , sub - band structure classifier and multi - classifier cooperation to enhance the robust of system ; 2 ) giving out close - set fusion and open - set fusion functions to solve the problems of speaker identification and verification respectively ; 3 ) building the dynamic recognition length algorithm based on optimal stopping rules ; 4 ) developing a applied system based on the techniques above 主要工作是： 1 、提出参数映射、子带结构分类器和多分类器系统以提高系统的鲁棒性能； 2 、给出证据融合的闭集公式和开集公式，它们分别适用说话人辨认和确认问题的； 3 、通过最优停止理论建立识别长度自适应算法； 4 、开发了一个实用的说话人识别系统。
7 . for the purpose of analyzing its asymptotic convergence properties the evolution strategy procedures for real - valued function optimization are described . two convergence theorems , which show that under suitable conditions the evolution strategy asymptotically converges to a global minimum point with probability one , are given 对于有界闭集上的连续函数，利用作者给出的一种简洁的方法，证明了一类进化策略以概率为1收敛（几乎处处收敛）于优化问题的全局极小点，为进化算法的收敛性分析提供了一种新的模式。
We study the relationships between the rough sets and the topological space , define the interior operator and the closure operator generated by a subbase of a topological space , which are conjugated with a lower approximation and an upper approximation , and obtain their basic properties 摘要本文研究粗糙集与拓扑空间的关系，统一地使用拓扑空间中的集合关于子基的内部和闭包来研究粗糙集理论和覆盖广义粗糙集理论中的下近似集和上近似集，以及由它们导出的关于子基的开集，导集，闭集，边界。
