On Optimal Defuzzification and Learning Algorithms: Theory and Applications

In this paper, the issue of optimal defuzzification which is advocated in the Optimality Principle of Defuzzification (Song and Leland (1996)) is addressed. It was shown that defuzzification can be treated as a mapping from a high dimensional space to the real line. When system performance indices are considered, the defuzzification mapping which optimizes the performance indices for the given fuzzy sets is known as the optimal defuzzification mapping. Thus, finding this optimal defuzzification mapping becomes the essence of defuzzification. The problem with this idea, however, is that the space formed by all possible continuous defuzzification mappings is so large to search that the only recourse is an approximation to the optimal defuzzification mapping. With this, learning algorithms can be devised to find the optimal parameters of defuzzifiers with fixed structures. The proposed method is rigorously examined and compared with some well-known defuzzification methods. To overcome the resultant enormous computational load problem with this algorithm, the concept of defuzzification filter is additionally proposed. An application of the method to the power system stabilization problem is presented.     

完全找到整系数不可约多项式的一种新方法

本利用一种独特的映射方法将整系数多项式映射为正有理数，运用谊映射方法和数论理论，可以找到任意多个整系数不可约多项式，因此，为扩频通信与信道密码利用不可约多项式提供了一种可行且实用的技术。     

Lp中一类非线性算子的Mann迭代过程的收敛性

本文给出了L_p空间中渐近次收缩映象Mann迭代过程收敛性定理．     

转移开、闭集值映象和H－KKM定理的推广及应用

本文中，我们引入转移开、闭集值映象的概念，推广了Ｈ－空间中的ＫＫＭ定理￣［４］．然后用所得的结果证明了几个重合定理、匹配定理和向量值极大极小不等式。这些结论推广了近期文献［１，２，４，５，６，７］中的相应结果。     

赤道东太平洋厄尔尼诺—南方海涛机制的同伦解法

厄尔尼诺—南方海涛(ENSO)是涉及到赤道太平洋中的一个年际现象。本文的目的是建立一个ENSO模型的非线性方程的渐近求解方法。并在一类ENSO模型振子的基础上，借用同伦映射方法研究了对应问题的近似解。由同伦方法得到的结果去分析ENSO模型的赤道东太平洋的SST变异和气-海振子的温度深度变异。     

5种重要农艺性状基因在水稻重组自交系群体中的定位

通过抗病虫害水稻品系“B5”与籼稻品种“明恢63”为亲本进行杂交，得到一个187个F8代的重组自交系群体。利用重组自交系群体构建的分子连锁图，对水稻抽穗期、株高、穗长、剑叶长和剑叶宽的性状进行了QTL分析，分别检测到影响抽穗期、株高、穗长、剑叶长和剑叶宽的农艺性状2、2、4、4、4个QTLs，并分别解释各表型性状总变异的50．6％、74．9％、34．1％、47．3％和46．2‰．其中，控制抽穗期的Hd-6基因，控制株高的Ph7基因和控制剑叶长的Fll-2b基因分别是效应值较大的主效座位，其余的为微效基因座位。相关性状的QTLs大多聚集在染色体的相近或相同区间，表现出成簇分布的现象。这些重要农艺性状的分析，可以为水稻分子标记辅助选择育种提供有用的遗传信息。     

Reconstruction of 3-submanifolds of large codimension in euclidean spaces from their gauss image

We present necessary and sufficient conditions for a regular three-dimensional manifold in the Grassmannian manifoldG(m, m+3) to be the Gauss image of a regular 3-submanifold in (m+3)-dimensional Euclidean space form>4. Translated fromMatemalicheskie Zametki, Vol. 62, No. 5, pp. 694–699, November, 1997. Translated by S. K. Lando     

Context sensitive noise impact mapping

Apartments that are exposed to the same level of road traffic noise on front of the most exposed façade often have very different neighbourhood soundscapes. In the first part of this paper, a neighbourhood soundscape adjusted exposure indicator, NAL_den, is derived. NAL_den-values are designed to be used as input to traditional exposure-effect relationships to improve annoyance impact estimates. In the second part, generic spatial procedures are developed and implemented. These produce map presentations in the form of contiguous neighbourhood quality areas. The quality of each neighbourhood is determined from the predicted annoyance impacts for residents. Noise impact maps provide experts, politicians, and the public with high-level impact visualizations of condensed status, “what-if” and scenario information. Results and illustrations are based on data from the Norwegian socio-environmental survey database, and a comprehensive national noise mapping effort. The methodology should work well for mapping Europe’s “black” and “grey” areas.     

Characteristic impedance of meshed-strip line

The characteristic impedances of meshed-strip lines are obtained by conformal mapping. The results are in good agreement with measured data.This work was supported by the National Natural Science Fundation of China.