General Mathematics

   

Applications of Complex Neutrosophic Sets in Medical Diagnosis Based on Similarity Measures

Authors: Kalyan Mondal, Surapati Pramanik, Florentin Smarandache

This paper presents some similarity measures between complex neutrosophic sets. A complex neutrosophic set is a generalization of neutrosophic set whose complex-valued truth membership function, complex-valued indeterminacy membership function, and complex valued falsity membership functions are the combinations of real-valued truth amplitude term in association with phase term, real-valued indeterminate amplitude term with phase term, and real-valued false amplitude term with phase term respectively. In the present study, we have proposed complex cosine, Dice and Jaccard similarity measures and investigated some of their properties. Finally, complex neutrosophic cosine, Dice and Jaccard similarity measures have been applied to a medical diagnosis problem with complex neutrosophic information.

Comments: 16 Pages.

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[v1] 2017-01-10 08:43:21

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