On πgβ–Closed Sets and Mappings in Neutrosophic Topological Spaces
Narmatha. S1, Glory Bebina. E2, Vishnu Priyaa. R3
1Narmatha. S, Assistant Professor, Sri Krishna Arts and Science College, Kuniamuthur, Coimbatore (Tamil Nadu), India.
2Glory Bebina. E, PG Students, Sri Krishna Arts and Science College, Kuniamuthur, Coimbatore (Tamil Nadu), India.
3Vishnu Priyaa. R, PG Students, Sri Krishna Arts and Science College, Kuniamuthur, Coimbatore (Tamil Nadu), India.
Manuscript received on 07 October 2019 | Revised Manuscript received on 21 October 2019 | Manuscript Published on 26 December 2019 | PP: 505-510 | Volume-8 Issue-12S October 2019 | Retrieval Number: L112610812S19/2019©BEIESP | DOI: 10.35940/ijitee.L1126.10812S19
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The real life situations always include indeterminacy. The Mathematical tool which is well known to deal with indeterminacy is Neutrosophy. The notion of Neutrosophic set is generally referred as the generalization of Intuitionistic fuzzy set. The Purpose of this article is to define the new class of sets called πgβ-closed sets in Neutrosophic topological spaces. The properties and characterizations of πgβ-closed sets are discussed and its relationships with other Neutrosophic sets are studied. Further we define πgβ –closed mappings and πgβ –open sets and some of its properties are touched upon.
Keywords: Neutrosophic πgβ–Closed Set, Neutrosophic πgβ–Open Set, Neutrosophic πgβ—Closed Mappings.
Scope of the Article: Smart Spaces