Soft Strongly g-Closed Sets

K  Kannan; D  Rajalakshmi  and R  Srikanth

doi:10.17485/ijst/2015/v8i18/65394

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i18/65394

Year: 2015, Volume: 8, Issue: 18, Pages: 1-6

Original Article

Soft Strongly g-Closed Sets

K. Kannan^1*, D. Rajalakshmi¹ and R. Srikanth²

¹Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA University, Kumbakonam - 612 001, Tamil Nadu, India; [email protected], [email protected]
² Department of Mathematics, SASTRA University, Thanjavur - 613 401, Tamil Nadu, India; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Background/Objectives: The objective of the present paper is to define soft strongly g-closed sets and soft strongly g-open sets in soft topological spaces and study their basic properties. Methods: Here we used the concept of soft closure of soft interior and soft open sets to define soft strongly g-closed sets. Findings: The relationship between soft strongly g-closed sets and other existing sets has been investigated. Further the union, intersection of two soft strongly g-closed sets have been obtained. The authors discussed the complements of soft strongly g-closed sets in the last section. Conclusion/ Improvements: In future, the varieties of new continuous mappings and separation axioms based on these sets may be introduced and the future research may be undertaken in this direction.
Keywords: Soft Strongly g-closed Sets, Soft Strongly g-open Sets, Soft g-closed Sets, Soft g-open Sets, Soft rg-closed Sets, Soft rg-open Sets