In an earlier work, Lee et al. [1] presented a simple and fast fuzzy classifier that employed fuzzy entropy to evaluate pattern distribution information in a pattern space. In this paper, we extend his work to propose a new fuzzy classifier based on hierarchical fuzzy entropy (FC-HFE). We retained the main parts of the original structure and modified some methods (e.g., decision of the number o...

In this paper, we present a new training algorithm for a fuzzy perceptron. In the case where the dimension of the input vectors is two and the training examples are separable, we can prove a finite convergence, i.e., the training procedure for the network weights will stop after finite steps. When the dimension is greater than two, stronger conditions are needed to guarantee the finite converge...

Research shows that multi-fractal can not only exhibit the singular probability distribution form of the fractal signal completely, but also increase the fine level of signal geometrical characteristics and local scaling behavior. Based on multi fractal dimension calculation of time-frequency matrix of vibration signal of rolling bearing in this paper, energy distribution characteristics of tim...

The lattice Lu of upper semicontinuous convex normal functions with convolution ordering arises in studies of type-2 fuzzy sets. In 2002, Kawaguchi and Miyakoshi [Extended t-norms as logical connectives of fuzzy truth values, Multiple-Valued Logic 8(1) (2002) 53–69] showed that this lattice is a complete Heyting algebra. Later, Harding et al. [Lattices of convex, normal functions, Fuzzy Sets an...

This paper introduces the fuzzy scatter partition-based fuzzy inference system to construct the model for nonlinear process to analyze nonlinear characteristics. The fuzzy rules of fuzzy inference systems are generated by partitioning the input space in the scatter form using Fuzzy C-Means (FCM) clustering algorithm. The premise parameters of the rules are determined by membership matrix by mea...

Fuzzy reasoning based on fuzzy logic was first proposed by Zadeh to handle the vague concept of reasoning in our day to day life. Since the inception of fuzzy reasoning several extensions, specifications and applications on fuzzy reasoning have been developed by different researchers. Fuzzy reasoning is now a very well established method and has a tremendous potentiality in different applicatio...

Mining activities are liable to injuries and different types of diseases. The occurrence an accident threatens safety in dimension stone mines. Therefore, the risk assessment such mines is important issue that needs special consideration. In this paper, incidents Iran evaluated using fuzzy inference system. analytical hierarchy process used identify importance degree each incidence then, overal...

Rough-fuzzy granular approach in natural computing framework is considered. The concept of rough set theoretic knowledge encoding and the role f-granulation for its improvement are addressed. Some examples of their judicious integration for tasks like case generation, classification/ clustering, feature selection and information measures are described explaining the nature, roles and characteri...

We address the dimensionality problem in the training of basis function networks of various types. Some results which establish the functional equivalence of basis function networks and fuzzy inference systems are discussed, and this equivalence is exploited in the development of a generalised form of basis function network which has in general a lower dimension than the standard form of networ...