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2017•International Journal of Applied Mathematics & Statistics/International journal of applied mathematics and statisticsOpen access

A New Class of Weakly α-Generalized Closed Sets

G. Jayaparthasarathy, Haydar Akça, Jamal Benbourenane

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Abstract

In this paper we introduce a new class of closed sets namelyg _α-closed sets which lies between the class of α-closed sets and generalized semi pre closed sets. We further prove that the set of all g _α-closed sets forms a topology and we derive relationship between this closed sets to other existing closed sets.

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What this paper is about

In this paper we introduce a new class of closed sets namelyg _α-closed sets which lies between the class of α-closed sets and generalized semi pre closed sets. We further prove that the set of all g _α-closed sets forms a topology and we derive relationship between this closed sets to other existing closed sets.

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Available abstract

In this paper we introduce a new class of closed sets namelyg _α-closed sets which lies between the class of α-closed sets and generalized semi pre closed sets. We further prove that the set of all g _α-closed sets forms a topology and we derive relationship between this closed sets to other existing closed sets.

Key concepts: Closed set, Mathematics, Class (philosophy), Set (abstract data type), Open and closed maps, New class, Topology (electrical circuits), Discrete mathematics

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