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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 11 > No. 1

 
   

On the Calculus of Spatial Relations

PP: 259-265
doi:10.18576/amis/110132
Author(s)
Mohammad Atallah, Abd El-Mohsen Badawy,
Abstract
A logical calculus based a method is compared with topological relation of 4 Intersection Model (4-IM) of spatial regions. The first result of this paper is answer of the following question: what is the smallest formula represents the four intersection model?. The second main result, as an algebraic view, under certain conditions, the family of all relations from 9-IM using the 4-IM of two closed regions A and B are obtained.

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