Title :
Measurement of granules
Author :
Zhao, Liquan ; Zhang, Ling
Abstract :
The measurement of granules is the most foundational problem in granular computing. The paper is intended to study the measurement of granules on a finite or infinite set. For a finite set we discuss the measurement of granules corresponding to an equivalence relation on a finite set and introduce a definition of conditional granularity in order to distinguish those granules with the same granularity. For an infinite set we can define different granularity in different questions, but we give the basic idea of granularity, that is, the granularity of a granule is the sum of the relative information contents of its atomic granules.
Keywords :
artificial intelligence; set theory; atomic granules; conditional granularity; granular computing; granule measurement; Artificial intelligence; Atomic measurements; Cognitive informatics; Finance; Fuzzy set theory; Laboratories; Set theory; Signal processing; conditional granularity; granularity; macro hierarchical figure; micro hierarchical tree;
Conference_Titel :
Cognitive Informatics, 2008. ICCI 2008. 7th IEEE International Conference on
Conference_Location :
Stanford, CA
Print_ISBN :
978-1-4244-2538-9
DOI :
10.1109/COGINF.2008.4639202
