期刊
INFORMATION SCIENCES
卷 378, 期 -, 页码 244-263出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2016.04.051
关键词
Three-way decisions; Concept learning; Multi-granularity; Cognitive computing; Rough set theory
资金
- National Natural Science Foundation of China [61305057, 61562050, 61573173, 61322211]
- Key Laboratory of Oceanographic Big Data Mining & Application of Zhejiang Province [OBDMA201502]
The key strategy of the three-way decisions theory is to consider a decision-making problem as a ternary classification one (i.e. acceptance, rejection and non-commitment). Recently, this theory has been introduced into formal concept analysis for mining three-way concepts to support three-way decisions in formal contexts. That is, the three-way decisions have been performed by incorporating the idea of ternary classification into the design of extension or intension of a concept. However, the existing methods on the studies of three-way concepts are constructive, which means that the three-way concepts had been formed by defining certain concept-forming operators in advance. In order to reveal the essential characteristics of three-way concepts in making decisions from the perspective of cognition, it is necessary to reconsider three-way concepts under the framework of general concept-forming operators. In other words, axiomatic approaches are required to characterize three-way concepts. Motivated by this problem, this study mainly focuses on three-way concept learning via multi-granularity from the viewpoint of cognition. Specifically, we firstly put forward an axiomatic approach to describe three-way concepts by means of multi-granularity. Then, we design a three-way cognitive computing system to find composite three-way cognitive concepts. Furthermore, we use the idea of set approximation to simulate cognitive processes for learning three-way cognitive concepts from a given clue. Finally, numerical experiments are conducted to evaluate the performance of the proposed learning methods. (C) 2016 Elsevier Inc. All rights reserved.
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