Spanning Properties of Fuzzy Matroids

The structure and properties of fuzzy matroids are investigated further. By generalizing the idea of crisp matroid sums to fuzzy matroid, the fuzzy matroid sum is defined. The properties of fuzzy matroid sums are studied in detail, and the comparison of properties between the crisp and fuzzy matroid sums is taken in. Particularly, several results, which are important to study the structure of fuzzy matroids, are obtained for close and regular fuzzy matroids.     

Characteristics of the Closure Operator of Fuzzy Matroids

We have discussed the structure of fuzzy matroids.The concept of fuzzy dependence of fuzzy matroids is provided through the generization of element and set in matroid theory,the properties and the conditions of fuzzy dependence are given.Then some properties of fuzzy dependences are studied.A fuzzy_closure axiom of fuzzy matroids is given,which will be significant to further study of matroid's inbeing and to perfection of matroid theory.     

Necessary and Sufficient Conditions of Fuzzy Circuit for Closed Fuzzy Matroids

Fuzzy circuit is a fundamental conception of fuzzy matroid and it plays an important role in fuzzy matroid. Using fundamental sequence and induced matroid sequence of fuzzy matroid, the fuzzy circuits of closed fuzzy matroids are studied and some results are found out about fuzzy circuits, I which are the necessary and sufficient conditions of elementary fuzzy circuit for fuzzy matroids or closed fuzzy matroids;the property of elementary fuzzy circuit for closed fuzzy ma- troids;the necessary and sufficient conditions of fuzzy circuit for closed fuzzy matroids. These results are helpful to find out fuzzy circuits from some fuzzy dependent sets of closed fuzzy matroids.     

Duality and Hyperplanes of Fuzzy Matroids

Fuzzy matroid is a new fuzzy system originated with the introduction of notion `fuzzy' into the theory of matroid. Some characteristics of fuzzy dual matroids are discussed according to the concept of fuzzy dual matroid given by Goetschel R.J and Voxman W., and then the notion of fuzzy hyperplanes is defined and some of the basic properties of them are investigated. Among these properties three necessary and sufficient conditions are provided from different aspects. Application of fuzzy hyperplanes is provided:fuzzy cloed sets always can be stated by the finite fuzzy hyperplanes.     

Fuzzy Graphic Matroids

First,in this paper, the fuzzy cycle matroids are constructed from fuzzy graphs and their properties are discussed;Then,the fuzzy isomorphism of fuzzy matroids is defined. On the basis of a careful discussion of the fuzzy inomorphic properties,we generalize fuzzy cycle matroids to define fuzzy graphic matroids; At last, with the help of a good-cycle concept of fuzzy cycle matroids,a necessary and sufficient condition for a fuzzy matrids to be a fuzzy graphic matroids is given.     

Structure of Closed Sets in Fuzzy Matroid

The authors study the properties and structures of fuzzy closed sets and fuzzy hyperplanes.The relationship between the closed set and it's derived matroid's closed set;The intersection of all hyperplanes in matroids is the smallest closed set and its rank is zero;The intersection of all fuzzy hyperplanes in fuzzy matroids is the smallest closed set and its rank is zero;The characteristics of structures of fuzzy closed sets is showed in using mathematical induction;a necessary and sufficient condition has been found in judging whether a fuzzy set is closed or not.     

Fuzzy Backpropagation Algorithms and Their Convergence

The equivalence between fuzzy neural networks model for max-min fuzzy operator and S.Stoeva's is proved by studying the fuzzy neural networks model for max-min fuzzy based on S.Stoeva's.Then the paper proposes the fuzzy backpropagation learning algorithms for changing fuzzy power and probes their convergence properties.Finally,it simulates experiment such as state monitoring of turbo-generator set.The results show that the fuzzy backpropagation learning algorithms presented are convergent on condition that the output of training sample is between maximum and minimum of its input.     

Fuzzy inference in the inter-wire crosstalk prediction

This paper presents the application of fuzzy inference on the issue of predicting crosstalk between interconnection wires. Effective electromagnetic interference parameters are selected as predictors from the pre-survey data, and the data are classified according to their statistical properties, and then fuzzy implication sentences are merged to determine the relationship between fuzzy implication set. Compared with the artificial neural network forecasting method,fuzzy inference forecasting method can not only make full use of existing experience and knowledge of experts, but also extract antomation summary and the new inference rules. The result of the example shows that the method is feasible.     

Continuous Mapping Between the Matroids Submatroids and Quotient Matroids

From the topological angle and byintroducing the definitions of continuous mapping, open mapping, closed mapping,homeomorphic mapping, submatroid and quotient matroids, under which the qualities of matroids are studied, and some equivalent condictions are obtained. Inadditional, whether the independent set,dependent set and circuit of matroids are held under these mappings is discussed.     

The Fuzzy Shadow Price

This paper discusses some properties of a kind of the fuzzy linear programming,gives the definition of the fuzzy shadow price,and presentes a simple solution of it as well.     

Application of fuzzy Neural Networks to Evaluation of Transversal Economic Benefits

A new method for evaluation of transversal economic benefits is researched by fuzzy neural networks, BP algorithm is used to learn the connection weights of the fuzzy neural networks and partitions of fuzzy subsets. It has been shown by the modeling and evaluating results about the economic benefit index system of ten enterprises that the method has reinforcement learning properties and universalized capabilities. with respect to modeling and evaluating of nonlinear systems which have some uncertainties, the method is available.     

A Kind of Fuzzy System Modelling and Control Based on Neural Networks

Combining artificial neural networks(ANN) with fuzzy system theory,a kind of modelling & control method of fuzzy system based on ANN is presented.The simulation researches have verified that the proposed approach can be applied effectively to a number of control systems which are defficult to build strict mathematical model.     

THE CHARACTERISTICS OF FUZZY AND ADAPTIVE PI COORDINATE DECISION CONTROLLER

On the basis of analysing problems of conventional fuzzy controller in the design of the structure and algorithm, this paper puts forward a kind of control algorithm that is fuzzy and Adaptive PI coordinate decision controller (FACDC) . It adopts the hierarchial control structure imitating intelligent control and combines fuzzy controller and adaptive PI controller. It takes full advantage of two controllers. Since the algorithm of FACDC in model reference fuzzy adaptive algorithm, it avoids the complexity of conventional adaptive algorithm.     

Fuzzy Adaptive Variable Structure Control of Speed Process of DC Motor

The load changed of motor affects normal run. If it is not adjusted, the state of motor will become poor, while it affects steady of the system. This paper presents an efficient method for the motor speed controlling, it applies Tacagi-Sugeno's method that each linear submodels are connected for fuzzy algorithm, an algorithm of the fuzzy model identifying and fuzzy control is fulfilled through whole nonlinear model which are replaced with local linear models. It makes speed of motor to maintain steady, and variable structure control is applied to guarantee performance of dynamic flowing for process controlled, the design of stability and robustness is proposed in the scheme. Practice running results show that it is efficient that uncertain dynamic processes are controlled.     

Image edge detection algorithm in fuzzy domain

An image edge detection algorithm in fuzzy domain is proposed, which combines adaptive fuzzy enhancement and multi direction fuzzy morphology to detect the edges of fuzzy image. The adaptive fuzzy enhancement method enhances the fuzzy image within blocks with sliding windows to avoid losses of the real edges resulting from enhancing with single threshold for the whole image and lead strong adaptive ability to image region variance. The multi direction fuzzy mathematical morphology operates on the enhanced fuzzy image with structure elements of multiple different directions to extract the real edges with directionality and restrain non directional noise. Experiments show the algorithm can detect fuzzy image edge effectively with strong antinoise ability.     

Model of Multiple Fuzzy Synthetical Evaluation for Enterprise Technology Innovation

Based on analyzing factor of the effect of technology innovation in enterprise,the distinctive multiple technology innovation system is established. The computing method of index weight is discussed in the face of multiple objective decision making, and the authors construct the quantitative analysis model of multiple fuzzy evaluation through fuzzy transform. With the present situation of certain manufacturing enterprise, some suggestions are given in the end after quantitative analyzing.     

Fuzzy adaptive tracking control for MIMO nonlinear time-varying delay systems

A fuzzy adaptive tracking control scheme is proposed for MIMO nonlinear time-varying delay systems. A fuzzy T-S model-based adaptive time-varying delay fuzzy logic systems is developed to approximate the unknown nonlinear time-varying delay functions.Thus, the modeling to nonlinear systems is implemented. The update laws for parameters of the fuzzy logic systems are derived by the tracking error. A Hcompensator is designed to eliminate fuzzy approximation errors and external disturbances. Based on Lyapunov stability theorem, the proposed control scheme can guarantee the stability of the closed loop systems and obtain anticipant Htracking performance as well. Simulation results of the manipulator demonstrate the effectiveness of the control scheme.     

Fuzzy Sensitivity Analysis of Structures

Based on fuzzy sets theory, a kind of method for analyzing the sensitivity in engineering structures of which design parameters are fuzzy variables is presented. The structural response sensitivity is analyzed by means of "simulate load" method and "virtual load" method, and a formula for calculating the fuzzy displacement sensitivity and fuzzy stress sensitivity is developed. The example shows that the presented method is rational and efficient.     

Generalized Damage Reliability and Sensitivity Analysis on Rolled-Concrete Gravity Dam

Based on fuzzy self-adapting stochastic damage model, the characteristics of generalized damage stress field on material crack tip are studied. The results express that the numerical algorithm is reliable. Sensitivity of rolled-concrete gravity dam under fuzzy-stochastic damage gaining is implemented by considering the spatial variation of material parameters. It is found that the compression strength of rolled-concrete is the governing index on gravity dam reliability. The activation simulations on fuzzy self-adapting stochastic damage model were carried by adopting different fuzzy distributions, which indicated the governing characteristics of the distribution on generalized damage evolution of rock-like material.     

Fuzzy Synthesis Evaluation of Aseismic Performance of Highrise Buildings Form

Based on the problem of out-of-codes about the height, height-to-width ratio, layout irregularity and vertical irregularity of the highrise buildings form, the multilevel evaluation model is put forward by applying the fuzzy set theory in this paper. The evaluation level is defined. The objective set of all evaluation level are divided into four subsets. The membership function and weights of different evaluation factors are calculated according to the objective set. The degree how out-of-codes highrise building go beyond the codes is evaluated based on the weighted averaging fuzzy synthesis evaluation, and the aseismic performance of out-of-codes highrise building is evaluated considering of the results of aseismic compute. Then the evaluation is tested by the example.