TL;DR
This paper introduces neutrosophic soft filters and develops a topology based on them, exploring their properties and bounds, contributing to the mathematical framework of neutrosophic soft set theory.
Contribution
It presents the first formal definition of neutrosophic soft filters and constructs a neutrosophic soft topology, expanding the theoretical foundation of neutrosophic soft set analysis.
Findings
Defined neutrosophic soft filters and their properties
Established a neutrosophic soft topology using these filters
Explored bounds and bases of neutrosophic soft filters
Abstract
In this paper, the concept of neutrosophic soft filter and its basic properties are introduced. Later, we set up a neutrosophic soft topology with the help of a neutrosophic soft filter. We also give the notions of the greatest lower bound and the least upper bound of the family of neutrosophic soft filters, neutrosophic soft filter subbase and neutrosophic soft filter base and explore some basic properties of them.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Advanced Algebra and Logic · Multi-Criteria Decision Making