Three-way cognitive concept learning via multi-granularity

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• 作者：Jinhai Li ; ^a ; ^{jhlixjtu@163.com" class="auth_mail" title="E-mail the corresponding author} ; ^{jhligf@163.com" class="auth_mail" title="E-mail the corresponding author} ; Chenchen Huang^a ; ^{huangchenchen64@163.com" class="auth_mail" title="E-mail the corresponding author} ; Jianjun Qi^b ; ^{qijj@mail.xidian.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Yuhua Qian^c ; ^{jinchengqyh@126.com" class="auth_mail" title="E-mail the corresponding author} ; Wenqi Liu^a ; ^{liuwenq2215@sina.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Three-way decisions ; Concept learning ; Multi-granularity ; Cognitive computing ; Rough set theory
• 刊名：Information Sciences
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：378
• 期：Complete
• 页码：244-263
• 全文大小：966 K

文摘

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.