Document Type : Research Paper

Authors

• Nirmal Sarkar ¹
• Ashoke Das ²
• Towhid E Aman ³

¹ Research scholar, Raiganj University

² Professor, Department of Mathematics, Raiganj University, Raiganj, India.

³ Associate professor, Department of Mathematics, Gangarampur College, India.

Abstract

In this article, we introduce and discuss the concepts of neutrosophic $\mu$-dense, neutrosophic $\mu$-nowhere dense, and neutrosophic $\mu$-first category sets. We also define and characterize the concept of neutrosophic $\mu$-baire space. Moreover, we investigate neutrosophic $(\mu, \eta)$-continuity and neutrosophic $(\mu, \eta)$-open functions and establish some results on the preservation of neutrosophic $\mu$-baire space under such functions.

Keywords

• neutrosophic 𝜇-dense
• neutrosophic 𝜇-nowhere dense
• neutrosophic 𝜇-first category
• neutrosophic 𝜇-baire space

Main Subjects

• Neutrosophic sets and their variants