@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}
}