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Article | Open Access

Hausdorff Similarity Measure on Neutrosophic Soft Set with Its Applicability in Decision Making

Doyel Sarkar1Sharmistha Ghosh2( )
Department of Basic Science and Humanities, University of Engineering and Management, Kolkata 700160, India
Department of Basic Science and Humanities, Institute of Engineering and Management, Kolkata 700091, India
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Abstract

Similarity measures are crucial for identifying distinctions between various alternatives. It is frequently represented by a number between 0 and 1, where 0 denotes poor similarity while 1 means high similarity. They are used to select the best alternative available over the other; mainly when the alternatives involve vague or blurry information. In the present work, a novel similarity measure utilizing the well-known Hausdorff metric is put forth for the neutrosophic soft set. The efficacy of the proposed measure lies in its simplicity in implementation over the existing measures available in the literature for neutrosophic soft sets. The utility of the suggested measure in decision-making is demonstrated through a medical diagnosis problem that confirms its reliability and applicability in real life scenarios.

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Fuzzy Information and Engineering
Pages 194-206
Cite this article:
Sarkar D, Ghosh S. Hausdorff Similarity Measure on Neutrosophic Soft Set with Its Applicability in Decision Making. Fuzzy Information and Engineering, 2024, 16(3): 194-206. https://doi.org/10.26599/FIE.2024.9270041

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Received: 08 December 2023
Revised: 27 May 2024
Accepted: 24 July 2024
Published: 30 September 2024
© The Author(s) 2024. Published by Tsinghua University Press.

This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

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