A multiple-valued logic approach for multigranulation rough set model

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• 作者：Yanhong She^a ; ^b ; ^{yanhongshe@gmail.com} ; ^{yanhongshe@xsyu.edu.cn} ; Xiaoli He^b ; Huixian Shi^c ; ^{rubyshi@163.com} ; Yuhua Qian^a
• 关键词：Multigranulation rough set ; Three-valued logic ; Three-way decision ; Five-valued logic
• 刊名：International Journal of Approximate Reasoning
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：82
• 期：Complete
• 页码：270-284
• 全文大小：449 K
• 卷排序：82

文摘

Rough sets have often been studied under a three-valued logic framework. In this paper, we attempt to extend the previous study in two ways. Firstly, we extend the previous study from single-granulation to multigranulation. Secondly, we study multigranulation rough set theory from the viewpoint of three-way decision. More precisely, we embody the idea of three-way decision theory in the definition of multigranulation rough set theory. This leads to an axiomatic definition of decision-oriented aggregation operators on 3={0,12,1}, which are quite different from those conjunctions proposed so far. Moreover, considering that a multigranulation rough set also divides the universe into five disjoint subsets, we present a five-valued semantics for multigranulation rough set model, and a kind of non-deterministic matrices is thus given.