Single Valued Neutrosophic Filters
Giorgio Nordo, Arif Mehmood, Said Broumi
TL;DR
This paper introduces the concept of filters, filter bases, and ultrafilters within single valued neutrosophic sets, exploring their properties and relationships to advance neutrosophic set theory.
Contribution
It provides a comprehensive framework for understanding filters in single valued neutrosophic sets, including properties, relationships, and operations.
Findings
Properties of neutrosophic filters and ultrafilters analyzed
Relationships between filter bases and their images studied
Operations like infimum and supremum on filter bases examined
Abstract
In this paper we give a comprehensive presentation of the notions of filter base, filter and ultrafilter on single valued neutrosophic set and we investigate some of their properties and relationships. More precisely, we discuss properties related to filter completion, the image of neutrosophic filter base by a neutrosophic induced mapping and the infimum and supremum of two neutrosophic filter bases.
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Taxonomy
TopicsAdvanced Algebra and Logic · Rings, Modules, and Algebras · Fuzzy and Soft Set Theory