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Soft rough approximation operators via ideal
Faculty
Science
Year:
2019
Type of Publication:
ZU Hosted
Pages:
Authors:
Heba Ibrahim Mustafa
Staff Zu Site
Abstract In Staff Site
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.
Author Related Publications
Heba Ibrahim Mustafa, "Bi Operation and Rough Sets Generalizations", Dixie W Publishing Corporation, U. S. A., 2008
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Heba Ibrahim Mustafa, "On rough approximations via ideal", Elsevier, 2013
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Heba Ibrahim Mustafa, "Soft Rough Approximation Operators on a Complete Atomic Boolean Lattice", Hindawi Publishing Corporation, 2013
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Heba Ibrahim Mustafa, "On lower and upper intension order relations by different cover concepts", Elsevier, 2011
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Heba Ibrahim Mustafa, "Soft proximity", World's Pioneer Iceland, 2013
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Department Related Publications
Rodyna Ahmed Mahmoud, "Proximity structures and grill", ijser, 2013
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Heba Ibrahim Mustafa, "On rough approximations via ideal", Elsevier, 2013
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Heba Ibrahim Mustafa, "Soft Generalized Closed Sets with Respect to an Ideal in Soft Topological Spaces", Natural science publishing USA, 2014
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Heba Ibrahim Mustafa, "Hybridizing Rough Sets and Double Sets (An approach for increasing decision accuracy)", Acta Zhengzhou University Overseas, 2013
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Alaa Hassan Attia Hassan, "On subordination results for certain new classes of analytic functions defined by using Salagean operator", Universiteti i Prishtines, Prishtine, Kosove, 2012
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