Neutrosophic grb-Continuous and grb-Irresolute Mappings in Neutrosophic Topological Spaces

Author: Raja Mohammad Latif

Abstract: Real-life structures always include indeterminacy. The Mathematical tool which is well known in dealing with indeterminacy is neutrosophic. Smarandache proposed the approach of neutrosophic sets. Neutrosophic sets deal with uncertain data. The notion of neutrosophic set is generally referred to as the generalization of intuitionistic fuzzy set. In 2021, Dr. G. Sindhu introduced the concept of Neutrosophic generalized regular b-closed sets and neutrosophic generalized b-open sets and presented some of their properties in Neutrosophic topological spaces. In this research paper, we introduce the concepts of neutrosophic grb-continuous mappings, neutrosophic grb-irresolute mappings, neutrosophic grb-closed mappings, neutrosophic grb-open mappings, strongly neutrosophic grb-continuous mappings, perfectly neutrosophic grb-continuousmappings, neutrosophic contra grb-continuous mappings and neutrosophic contra grb-irresolute mappings in neutrosophic topological spaces. We investigate and obtain several properties and characterizations concerning these mappings in neutrosophic topological spaces.

Pages: 55-69

DOI: 10.46300/91019.2022.9.11

International Journal of Pure Mathematics, E-ISSN: 2313-0571, Volume 9, 2022, Art. #11