Basic Theory in the New Real Line-scale Rough Function Model
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@Article{JICS-2-41,
author = {},
title = {Basic Theory in the New Real Line-scale Rough Function Model},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {2},
number = {1},
pages = {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.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22818.html}
}
TY - JOUR
T1 - Basic Theory in the New Real Line-scale Rough Function Model
AU -
JO - Journal of Information and Computing Science
VL - 1
SP - 41
EP - 47
PY - 2024
DA - 2024/01
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22818.html
KW - Rough set, Scale, Indiscernibility relation, Rough number, Rough function
AB - 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.
. (2024). Basic Theory in the New Real Line-scale Rough Function Model.
Journal of Information and Computing Science. 2 (1).
41-47.
doi:
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