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Three-way fuzzy concept lattice representation using neutrosophic set

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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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Acknowledgments

Author sincerely thanks the anonymous reviewer’s and editor’s for their valuable time and suggestions to improve the quality of this paper.

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  1. Amity Institute of Information Technology, Amity University, Sector-125, Noida, 201313, UP, India

    Prem Kumar Singh

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  1. Prem Kumar Singh
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Correspondence to Prem Kumar Singh.

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Singh, P.K. Three-way fuzzy concept lattice representation using neutrosophic set. Int. J. Mach. Learn. & Cyber. 8, 69–79 (2017). https://doi.org/10.1007/s13042-016-0585-0

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  • DOI: https://doi.org/10.1007/s13042-016-0585-0

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