Developed cosine similarity measure on belief function theory: An application in medical diagnosis

In this study, we consider a new aspect of belief function or Dempster-Shafer theory to define a belief set and cosine similarity measure between two belief sets under uncertainty. For this purpose, firstly, the concept of belief sets will be represented as a triple vector space that is characterize...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2022-03, Vol.51 (9), p.2858-2869
Main Authors: Khalaj, Fereshteh, Khalaj, Mehran
Format: Article
Language:English
Subjects:
belief set
cosine similarity measure
Decision making
Decision theory
Dempster-Shafer theory
Diagnosis
Medical diagnosis
Similarity
Similarity measures
Trigonometric functions
Uncertainty
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Summary:In this study, we consider a new aspect of belief function or Dempster-Shafer theory to define a belief set and cosine similarity measure between two belief sets under uncertainty. For this purpose, firstly, the concept of belief sets will be represented as a triple vector space that is characterized by truth-belief degree, uncertainty-belief degree; and falsity-belief degree. Then, the cosine similarity measure between two belief sets is proposed to determine the degree of similarity between them. This measure is directly defined upon the framework of Dempster-Shafer theory without switching by other theories. Finally, an application of a new method in the decision-making process is provided in the medical diagnosis, when values were presented on the structure of belief set. Furthermore, a numerical example of the medical diagnosis is presented to show the effectiveness and flexibility of the proposed method.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2020.1782935