Soft rough approximation operators via ideal

Faculty Science Year: 2019
Type of Publication: ZU Hosted Pages:
Authors:
Journal: Journal of Computational Analysis & Applications Eudoxus Press Volume:
Keywords : Soft rough approximation operators , ideal    
Abstract:
Soft rough approximation were introduced by Feng[7]. This paper extend soft rough approximation model by defining new soft rough approximation operators via ideal. An ideal on a set X is a non empty collection of subsets of X with heredity property which is also closed under finite unions. When I is the least ideal of ...(U), these two approximations coincide. We present the essential properties of new opertors via ideal and supported by illustrative examples. The notion of soft rough equal relations via ideal is proposed and related examples are examined. We also show that rough set via ideal [26] can be viewed as a special case of soft rough set via ideal, and these two notions will coincide provided that the underlaying soft set is a partition soft set. We obtain the structure of soft rough set via ideal, gives the structure of topologies induced by soft set and an ideal. Moreover, an example containing a comparative analysis between rough sets via ideal and soft rough sets via ideal is given. We show that soft rough approximation via ideal could provide a better approximation than rough set via ideal.
   
     
 
       

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