Basic Theory in the New Real Line-scale Rough Function Model
Year: 2007
Journal of Information and Computing Science, Vol. 2 (2007), Iss. 1 : pp. 41–47
Abstract
The basic concepts of Pawlak rough function model are improved. The concepts of double approximation operators that are scale upper (lower) approximation and real line upper (lower) approximation are defined and their properties and antithesis characteristics are analyzed. Scale bijection theorem as well as relative propositions and conclusions are proposed furthermore. Based on the indiscernibility relation, the new real line-scale rough function model is established by generalizing the double approximation operators into two-dimensional space. That deepens and generalizes rough function model based on rough set theory, and makes the scheme of rough function theory more distinct and completed. The transformation of real function analysis from real line to scale is achieved therefore, which provides necessary theoretical foundation and technical support for further discussion of properties and practical application of rough function model.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22818
Journal of Information and Computing Science, Vol. 2 (2007), Iss. 1 : pp. 41–47
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7