A proposal of fuzzy modeling with dimensionality reduction incorporating fuzzy inference method

Studies of the integration of patterns and symbols have attracted many researchers. Patterns are feature vectors in a feature space and symbols are labels of sets of patterns. The integration of patterns and symbols treats pattern-symbol pairs for information processing. Fuzzy inference is the integration of patterns and symbols by treating pattern sets as fuzzy sets and symbols as the labels of fuzzy sets. Fuzzy inference is very useful for extraction and incorporation of human knowledge. However, relationships between symbols and multi-dimensional pattern sets are hard to grasp. The paper proposes a fuzzy inference system with a nonlinear projector for dimensionality reduction to visualize relationships between the symbols and the multi-dimensional pattern sets. The proposed system is a good tool for interactive knowledge acquisition/incorporation