TY - JOUR
T1 - CAD and constraint-based geometric modelling algorithms for 2D and 3D woven textile structuress
AU - 
JO - Journal of Information and Computing Science
VL - 3
SP - 189
EP - 198
PY - 2024
DA - 2024/01
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22769.html
KW - incomplete information system, incomplete ordered decision system, approximate distribution 
reduct, dominance-based rough set. 

AB -  The original rough set model cannot be used to deal with the incomplete information systems. 
Nevertheless, by relaxing the indiscernibility relation to more general binary relations, many improved rough 
set models have been successfully applied into the incomplete information systems for knowledge acquisition. 
This article presents an explorative research focusing on the transition from incomplete decision system to a 
more  complex  system---the  incomplete  ordered  decision  system.  In  such  incomplete  decision  system,  all 
attributes  have  preference-ordered  domains.  With  introduction  of  the  concept  of  approximate  distribution 
reduct into the incomplete ordered decision system, four new notions of approximate distribution reduct are 
proposed.  They  are  the  minimal  subsets  of  condition  attributes,  which  preserve  lower  and  upper 
approximations  of  all  upward  unions  and  downward  unions  of  the  decision  classes  respectively.  The 
judgment theorems and discernibility matrices associated with these approximate distribution reducts are also 
obtained. For further illustration, an example is analyzed. The research is meaningful both in the theory and 
in applications for the acquisition of rules in complex information systems.