2014•Unpublished venueRequires access

Soft Generalized Closed Sets with Respect to an Ideal in

F. M. Sleim

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Abstract

A soft ideal on a non empty set X is a non empty collection of soft subsets of X with heredity property which is also closed under finite unions. The concept of soft generalized closed sets in soft topological space s was introduced by Kannan (1). In this paper, we introduce and study the concept of soft generalized closed sets with respect to a soft ideal, which is the extension of the concept of soft generalized closed sets.

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A soft ideal on a non empty set X is a non empty collection of soft subsets of X with heredity property which is also closed under finite unions. The concept of soft generalized closed sets in soft topological space s was introduced by Kannan (1). In this paper, we introduce and study the concept of soft generalized closed sets with respect to a soft ideal, which is the extension of the concept of soft generalized closed sets.

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Available abstract

A soft ideal on a non empty set X is a non empty collection of soft subsets of X with heredity property which is also closed under finite unions. The concept of soft generalized closed sets in soft topological space s was introduced by Kannan (1). In this paper, we introduce and study the concept of soft generalized closed sets with respect to a soft ideal, which is the extension of the concept of soft generalized closed sets.

Key concepts: Mathematics, Ideal (ethics), Closed set, Extension (predicate logic), Topological space, Soft set, Pure mathematics, Set (abstract data type)

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