Information Granularity in Fuzzy Binary GrC Model

—Zadeh’s seminal work in theory of fuzzy-information3 granulation in human reasoning is inspired by the ways in which4 humans granulate information and reason with it. This has led5 to an interesting research topic: granular computing (GrC). Al-6 though many excellent research contributions have been made,7 there remains an important issue to be addressed: What is the8 essence of measuring a fuzzy-information granularity of a fuzzy-9 granular structure? What is needed to answer this question is10 an axiomatic constraint with a partial-order relation that is de-11 fined in terms of the size of each fuzzy-information granule from12 a fuzzy-binary granular structure. This viewpoint is demonstrated13 for fuzzy-binary granular structure, which is called the binary GrC14 model by Lin. We study this viewpoint from from five aspects in15 this study, which are fuzzy BINARY-granular-structure operators,16 partial-order relations, measures for fuzzy-information granular-17 ity, an axiomatic...

• Type: Journal
• Year: 2011
• Where: TFS
• Authors: Yuhua Qian, Jiye Liang, W.-z. Z. Wu, Chuangyin Dang
• Keywords: Education, Fuzzy-binary Granular Structure, Fuzzy-information Granularity, Granular Structure, TFS 2011