Abstract

Concept modeling and learning have been important research topics in artificial intelligence and knowledge discovery. This paper studies a hierarchical concept learning method that requires a small amount of data to achieve competitive performances. The method starts from a set of fuzzy prototypes called Fuzzy Semantic Cells (FSCs). As a result of FSC parameter optimization, it creates a hierarchical structure of data–prototype–concept. Experiments are conducted to demonstrate the effectiveness of our approach in a classification problem. In particular, when faced with limited training data, our proposed method is comparable with traditional techniques in terms of robustness and generalization ability.

Highlights

  • This work is mainly concerned with concept learning

  • Many classic machine learning algorithms are related to the prototype theory, such as K-means algorithm, knearest neighbor (KNN) algorithm and so on

  • Lawry and Tang introduced an approach to uncertainty modeling for vague concepts by combining the prototype theory and the random set theory [10,11]

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Summary

Introduction

This work is mainly concerned with concept learning. Concept learning categorizes the process to partition samples into classes for the purpose of generalization, discrimination, and inference [1]. Concept modeling is fundamental in the fields of cognitive science and artificial intelligence. One prominent work on the cognitive representations of concepts in natural language is the prototype theory [5,6]. The modeling of concept vagueness in artificial intelligence has been dominated by ideas from fuzzy set theory as originally proposed by Zadeh [7,8]. Lawry and Tang introduced an approach to uncertainty modeling for vague concepts by combining the prototype theory and the random set theory [10,11]. Tang and Xiao [15] adopt Fuzzy Semantic Cell (FSC) to name this model. Based on FSC, Tang and Xiao provided an efficient way for unsupervised concept learning [15]

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