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In this paper we combine two approaches. One is the theory of knowledge graphs in which concepts are represented by graphs. The other is the axiomatic fuzzy set theory (AFS). In both theories concepts are studied and concepts can be set in correspondence. This enables to use algebraic results in the context of knowledge graph theory. As different interpretations lead to different knowledge graphs,...
Due to data fusion with a large number of data on some characteristic index, an improved online data fusion method is proposed. At first, it used a fuzzy-index function to measure the mutual support degree of the observation values. Then an augmented matrix was defined as the criterion for integrated support degree of data from various sensors. According to this augmented matrix's maximum modulus...
The selection of a machine tool among the alternatives is a multi-criteria decision-making (MCDM) problem including both qualitative and quantitative criteria. The conventional approaches to machine tool selection problem tend to be less effective in dealing with the impreciseness or vagueness nature of the linguistic assessment. Under many situations, the performance values of the alternatives with...
Fuzzy reasoning methods have demonstrated their ability to solve different kinds of problems in various applications domains. Currently, there are various fuzzy reasoning methods and applications. This paper points out a kind of new recursive reasoning method which is based on move rate of fuzzy membership functions and it's application. To reduce the time cost by fuzzy reasoning, concepts of move...
A kind of pattern recognition method with Fuzzy clustering is applied to identify the burden surface of blast furnace. According to the information of burden surface distribution, the target clustering analysis is used to set up a standard model database. Based on the character of distribution, each target burden surface is matched into different standard model database by using fuzzy pattern recognition...
As we all know, many complex industrial processes are difficult to establish mathematical models and control. Fuzzy cognitive map (FCM) is a very convenient, simple, and powerful tool for simulation and analysis of dynamic systems. However, the construction of FCM relies on experts' experience, which limits the application of FCM in the complex industrial process control. This paper proposed a method...
This paper presents the method of discrete-time sliding mode control (DT-SMC) for a class of nonlinear time-delay systems via Takagi-Sugeno (T-S) fuzzy model. First, the discrete-time linear model with uncertainties and tine-varying delay is derived by employing T-S model to represent original system. Then the control problem becomes the robust stabilization controller design for linear uncertain...
In this paper, the AFS fuzzy logic clustering algorithm proposed by X.D. Liu has been studied further by the improvement of the algorithm. Instead of examples of less than 10 samples in Liu's paper, we apply the improved algorithm to Wisconsin breast cancer data which has 699 samples and just the order relationships of the samples on each feature are used in the algorithm. This study shows that the...
This paper presents definitions of a fuzzy knowledge system and fuzzy logic formulae. Information entropies of the fuzzy logic formulae and information entropies of fuzzy rules of the fuzzy knowledge system are described, and relative properties of these definitions are discussed. And then, classification and evaluation of the siso fuzzy system are given based on the information entropy. Finally,...
Fuzzy rule representation is a core of the model expert system, through analysis of traditional knowledge representation implementation disadvantages of method, propose the combine a database and knowledge base integration, using a relational database to express fuzzy rules knowledge. First, knowledge base of rules designed to convert the method to the database and corresponding table structure, and...
Because there exists drawback in traditional type-1 fuzzy sets to deal with uncertainty, type-2 fuzzy sets have been proposed to replace their type-1 counterparts. This paper presents numerical calculation procedure of computing with words for interval type-2 fuzzy set (IT2 FS) based on fuzzy extension principle. Three kinds of interval type-2 fuzzy sets, such as discrete, semi-discrete and continuous,...
In this paper, mathematical modeling of digital watermarking is proposed to approximate the image based on the generalized Gaussian distribution. Using maximum a posteriori probability based image segmentation and fuzzy c means image segmentation, the cover image is segmented into several homogeneous areas. In EM segmentation, every region in the image is represented by a generalized Gaussian distribution...
Evolutionary computation is emerging as a novel engineering computational paradigm, which plays a significant role in several optimization problems. Job-shop scheduling problem (JSSP) is one among the common NP-hard combinatorial optimization problems. The JSSP is defined as allocation of machines for a set of jobs over time in order to optimize the performance measure satisfying certain constraints...
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