π π πππβ and ππππππβ- Spaces in ππ-Nano Topological Space
Year: 2024
Type: article
Abstract: Objectives: The purpose of this study is to propose a new kind of Nano Ideal topological space called ππ-Nano topological space, explores several novel forms of open and closed sets in the context of ππ-Nano topological space, and generate π π πππβ and ππππππβ-spaces in ππ-Nano topological space. Methods: The ππ-lower, ππ-upper and ππ-boundary regions have been established for any subset of the specified universal set and any binary relation defined on it. The associated ππ-Nano topological space can be determined by these regions in addition with universal set and the empty set. Findings: The relationship between ππ-Nano open sets and other sets in ππ- Nano topological spaces are found. Additionally, we figure out the forms of π π πππβ and ππππππβ-spaces. Novelty: Nano-open sets were used in the formation of normal spaces in Nano topological spaces, whereas in the current researchworkπππ andππΜππ-open sets have been used to generate π π πππβ and ππππππβ -spaces. Keywords: ππ-Nano topological space; ππ-lower, ππ-upper; ππ-boundary region, π π πππβ -space, ππππππβ-space
Authors: R Maheswari, K Rekha
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: diamond
OpenAlex ID: W4404852358