Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis
Joint Authors
Liu, Donghai
Liu, Guangyan
Liu, Zaiming
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Similarity measure is an important tool in multiple criteria decision-making problems, which can be used to measure the difference between the alternatives.
In this paper, some new similarity measures of single-valued neutrosophic sets (SVNSs) and interval-valued neutrosophic sets (IVNSs) are defined based on the Euclidean distance measure, respectively, and the proposed similarity measures satisfy the axiom of the similarity measure.
Furthermore, we apply the proposed similarity measures to medical diagnosis decision problem; the numerical example is used to illustrate the feasibility and effectiveness of the proposed similarity measures of SVNSs and IVNSs, which are then compared to other existing similarity measures.
American Psychological Association (APA)
Liu, Donghai& Liu, Guangyan& Liu, Zaiming. 2018. Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis. Computational and Mathematical Methods in Medicine،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1132138
Modern Language Association (MLA)
Liu, Donghai…[et al.]. Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis. Computational and Mathematical Methods in Medicine No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1132138
American Medical Association (AMA)
Liu, Donghai& Liu, Guangyan& Liu, Zaiming. Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis. Computational and Mathematical Methods in Medicine. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1132138
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132138