Unifying Rough Set Theories via Large Scaled Granular Computing

作者：Lin, Tsau Young^*; Liu, Yong; Huang, Wenliang

来源：Fundamenta Informaticae, 2013, 127(1-4): 413-428.

DOI：10.3233/FI-2013-918

• granular computing
• neighborhood system
• central knowledge
• rough set
• topological space
• variable precision rough set

This paper explains the mathematics of large scaled granular computing (GrC), augmented with a new Knowledge theory, by unifying rough set theories (RS) into one single concept, namely, neighborhood systems (NS). NS was first introduced in 1989 by T. Y. Lin to capture the concepts of "near" (topology) and "conflict" (security). Since 1996 when the term Granular Computing (GrC) was coined by T. Y. Lin to label Zadeh's vision, NS has been pushed into the "heart" of GrC. In 2011, LNS, the largest NS, was axiomatized; it implied that this set of axioms defines a new mathematics that realizes Zadeh's vision. The main messages are: this new mathematics is powerful and practical.

• 出版日期2013
• 单位浙江大学