Study of Neutrosophic b-continuous maps in Neutrosophic Topological Spaces
Year: 2025
Type: article
Abstract: Neutrosophic sets were introduced to deal with indeterminancy and persistent issues and they were used to develop the neutrosophic topological spaces. In this paper, the concept of neutrosophic b-continuous maps and strongly neutrosophic b-continuous maps are defined and some important properties are developed. We prove that every neutrosophic strongly b-continuous map is a neutrosophic b-continuous map. We examine the relationship of neutrosophic b-continuous maps with the already defined continuous maps such as neutro sophic semi-continuous maps, neutrosophic pre-continuous maps, neutrosophic α-continuous maps. We prove that if a map is any of these neutrosophic continuous map, then that is a neutrosophic b-continuous map. Further, we prove that the surjective neutrosophic b-continuous image of a neutrosophic b-connected space, and a neutrosophic b-compact space is a neutrosophic b-connected space, and neutrosophic b-compact space respectively.
Authors: Sujeewa Malkanthi, Panchadcharam Elango
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7105759573
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