Fuzzy Information and Engineering

Beltrán, Mónica; Melin, Patricia; Trujillo, Leonardo

2009 Fuzzy Information and Engineering

doi: 10.1007/s12543-009-0027-8

AbstractThis paper describes a modular neural network (MNN) for the problem of signature recognition. Currently, biometric identification has gained a great deal of research interest within the pattern recognition community. For instance, many attempts have been made in order to automate the process of identifying a person's handwritten signature, however this problem has proven to be a very difficult task. In this work, we propose an MNN that has three separate modules, each using different image features as input, these are: edges, wavelet coefficients, and the Hough transform matrix. Then, the outputs from each of these modules are combined by using a Sugeno fuzzy integral. The experimental results obtained by using a database of 30 individual's shows that the modular architecture can achieve a very high 98% recognition accuracy with a test set of 150 images. Therefore, we conclude that the proposed architecture provides a suitable platform to build a signature recognition system.

Yang, Bing-ru; Peng, Zhen

2009 Fuzzy Information and Engineering

doi: 10.1007/s12543-009-0028-7

AbstractFuzzy Cognitive Map (FCM) is a new kind of intelligent facility, which has many advantages such as intuitive representing knowledge skills and strong inference mechanisms based on numeric matrix, etc. In practical application, a majority of data is stored into the relational database in the form of Entity-Relationship schema. How to mine FCM directly from multi-relational data resource has become a key problem in researching FCM and an important direction and area of data mining. However, traditional approaches for obtaining FCM always rely on experience of domain experts or do not take into account the characteristics of multi-relationship. Based on these, the paper proposes a new model of Two-layer Tree-type FCM (TTFCM) and a new mining methodology based on gradient descent method.

Ding, Bao-cang

2009 Fuzzy Information and Engineering

doi: 10.1007/s12543-009-0029-6

AbstractThe controller's design and analysis based on Takagi-Sugeno (T-S) models play important roles in the research of fuzzy control. When fuzzy control is being widely applied, the stability research on T-S fuzzy control supports the applications on the theoretical standpoint. The development of the stability research on T-S fuzzy control is surveyed in this paper. For the Lyapunov functions, this paper considers common quadratic Lyapunov functions, piecewise quadratic Lyapunov functions, fuzzy Lyapunov functions, nonquadratic Lyapunov functions and homogenously polynomially parameterized Lyapunov functions. For the control laws, this paper considers parallelly distributed compensation, non-parallel distributed compensation laws and homogenously polynomially parameterized control laws. By extensively applying the Pólya's theorem and the techniques for homogenous polynomials, the stability conditions are gradually developed towards necessary and sufficient. It is very important to recognize and master this development in order to further study fuzzy control and the related control theories.

Yuan, Xue-hai; Li, Hong-xing; Wang, Xiao-ning

2009 Fuzzy Information and Engineering

doi: 10.1007/s12543-009-0030-0

AbstractIn this paper, a theoretical method is presented to select fuzzy implication operators for the fuzzy inference sentence “if x is A, then y is B”. By applying representation theorems, thirty-two fuzzy implication operators are obtained. It is shown that the obtained operators are generalizations of classical inference rule A → B, Ac → B, A → Bc and Ac → Bc respectively and can be divided into four classes. By discussion, it is found that thirty of them among 420 fuzzy implication operators presented by Li can be derived by applying representation theorems and another two new ones are obtained by the use of our methods.

Zhang, Jia-lu

2009 Fuzzy Information and Engineering

doi: 10.1007/s12543-009-0031-z

AbstractSome characterizations of fuzzy prime Boolean filters of IMTL-algebras are given. The lattice operations and the order-reversing involution on the set PB(M) of all fuzzy prime Boolean filters of IMTL-algebras are defined. It is showed that the set PB(M) endowed with these operations is a complete quasi-Boolean algebra (a distributive complete lattice with an order-reversing involution). It is derived that the algebra M/F, which is the set of all cosets of F, is isomorphic to the Boolean algebra {0, 1} if F is a fuzzy prime Boolean filter. By introducing an adjoint pair on PB(M), it is proved that the set PB(M) is also a residuated lattice.

Cao, Bing-yuan

2009 Fuzzy Information and Engineering

doi: 10.1007/s12543-009-0032-y

AbstractThe writer in this paper, on their foundation, discusses the convexity of interval and fuzzy function, interval and fuzzy functional variation. Besides he gives the definition of a convex function and convex functional about an interval, a common function at fuzzy points, a fuzzy-valued function at common points and a fuzzy-valued function at fuzzy points, and judges their convexity condition. This lays a foundation on the application of fuzzy optimal theories and fuzzy variation methods at physical and approximate calculation. And finally he illustrates their application by example.

Wang, Guo-qiang; Yue, Yu-jing; Cai, Xin-zhong

2009 Fuzzy Information and Engineering

doi: 10.1007/s12543-009-0033-x

AbstractIn this paper we propose a weighted-path-following interior-point algorithm to monotone mixed linear complementarity problem. The algorithm is based on a new technique for finding a class of search directions and the strategy of the central path. At each iteration, we only use full-Newton step. Finally, the currently best known iteration bound for the algorithm with a small-update method, namely, is derived, which is as good as the bound for the linear optimization analogue.