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Published in: International Journal of Machine Learning and Cybernetics 1/2017

23-08-2016 | Original Article

Three-way fuzzy concept lattice representation using neutrosophic set

Author: Prem Kumar Singh

Published in: International Journal of Machine Learning and Cybernetics | Issue 1/2017

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Abstract

Recently, three-way concept lattice is studied to handle the uncertainty and incompleteness in the given attribute set based on acceptation, rejection, and uncertain regions. This paper aimed at analyzing the uncertainty and incompleteness in the given fuzzy attribute set characterized by truth-membership, indeterminacy-membership, and falsity membership functions of a defined single-valued neutrosophic set. For this purpose a method is proposed to generate the component wise three-way formal fuzzy concept and their hierarchical order visualization in the fuzzy concept lattice using the properties of neutrosophic graph, neutrosophic lattice, and Gödel residuated lattice with an illustrative example.

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Metadata
Title
Three-way fuzzy concept lattice representation using neutrosophic set
Author
Prem Kumar Singh
Publication date
23-08-2016
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 1/2017
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-016-0585-0

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