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International Journal of Neutrosophic Science
Volume 19 , Issue 1, PP: 375-383 , 2022 | Cite this article as | XML | Html |PDF

Title

New Entropy Measure Concept for Single Value Neutrosophic Sets with Application in Medical Diagnosis

  Norzieha Mustapha 1 * ,   Suriana Alias 2 ,   Roliza Md Yasin 3 ,   Nurnisa Nasuha Mohd Yusof 4 ,   Nurul Najiha Fakhrarazi 5 ,   Nik Nur Aisyah Nik Hassan 6

1  Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Cawangan Kelantan, Machang Campus, Kelantan, Malaysia
    (norzieha864@uitm.edu.my)

2  Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Cawangan Kelantan, Machang Campus, Kelantan, Malaysia
    (suria588@uitm.edu.my)

3  Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Cawangan Kelantan, Machang Campus, Kelantan, Malaysia
    (roliza927@uitm.edu.my)

4  Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Cawangan Kelantan, Machang Campus, Kelantan, Malaysia
    (nisaanasuhaa99@gmail.com)

5  Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Cawangan Kelantan, Machang Campus, Kelantan, Malaysia
    (nurulnajiha0511@gmail.com)

6  Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Cawangan Kelantan, Machang Campus, Kelantan, Malaysia
    (aisyhssnik@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.190118

Received: March 04, 2022 Accepted: September 20, 2022

Abstract :

This study aims to propose a new entropy weight on the distance measure of single value neutrosophic set

(SVNS) to analyse medical diagnosis patient’s risk. Four distance measures will be integrated with three

entropy weight concepts and applied to medical diagnosis. A new entropy weight measure integrated with

the four distance measures are calculated using the medical data of one patient with five symptoms and five

diseases. The calculated new entropy and its associated distance measures give consistent finding with the

existing entropy weight measures. However, all the values are even smaller showing that the relation between

patient A and disease are stronger. This evaluation and diagnosis approach is applicable to a wide variety of

other resources and medical problems.

Keywords :

Distance measure; Entropy; Medical diagnosis; Single value neutrosophic set

References :

[1] Broumi, S., Bakali, A., Talea, M., Smarandache, F., Ulucay, V., Sahin, M. & Dey, A. D. Dhar D, RP Tan,

A. Bahnasse, and S. Pramanik. Neutrosophic Sets: An Overview, New Trends In Neutrosophic Theory

And Applications. 2, 388-418, 2018.

[2] Alias, S. &Mohamad, D. A Review on Neutrosophic Set and Its Development, Discovering Mathematics

(Menemui Matematik). 39, 61-69, 2017.

[3] Ali, M., Thanh, N., Van Minh, N. & Others. A neutrosophic recommender system for medical diagnosis

based on algebraic neutrosophic measures, Applied Soft Computing, 71, 1054-1071 2018.

[4] Habib, S., Butt, M., Akram, M., Smarandache, F. & Others. A neutrosophic clinical decision-making

system for cardiovascular diseases risk analysis, Journal Of Intelligent & Fuzzy Systems, 1-23, 2020.

[5] Mustapha, N., Alias,S., Yasin, R., Abdullah, I. Broumi, S., Cardiovascular Diseases Risk Analysis using

Distance-Based Similarity Measure of Neutrosophic Sets, Neutrosophic Sets and Systems 47, 26-37,

2021.

[6] Ye, S., Fu, J. & Ye, J. Medical diagnosis using distance-based similarity measures of single valued

neutrosophic multisets. Neutrosophic Sets And Systems, 7, 47-52, 2015.

[7] Ulucay, V., Kılıc¸, A., Sahin, M. & Deniz, H. A new hybrid distance-based similarity measure for refined

neutrosophic sets and its application in medical diagnosis, MATEMATIKA, 35, 83-96, 2019.

[8] Smarandache, F. & Broumi, S., Extended Hausdroff Distance And Similarity Measures for Neutrosophic

Refined Sets and their Application in Medical Diagnosis, DOI:10.5281/zenodo.49141

[9] Thao, N.,X, Smarandache, F. Apply new entropy based similarity measures of single valued neutrosophic

sets to select supplier material, Journal of Intelligent Fuzzy Systems: Applications in Engineering and

Technology, 39, 1005–1019https://doi.org/10.3233/JIFS-191929, 2020.

[10] Ye, J. & Du, S., Some distances, similarity and entropy measures for interval-valued neutrosophic sets

and their relationship, International Journal of Machine Learning and Cybernetics 10, 347–355, 2019.

[11] Qin, K.& Wang, L. New similarity and entropy measures of single-valued neutrosophic sets with applications

in multi-attribute decision making, Soft Computing - A Fusion of Foundations, Methodologies

and Applications, 24, 16165–16176https://doi.org/10.1007/s00500-020-04930-8 , 2021.

[12] Broumi, S. & Smarandache, F. Several similarity measures of neutrosophic sets. Neutrosophic Sets And

Systems, 1, 2013.

[13] Majumdar, P. & Samanta, S. On similarity and entropy of neutrosophic sets, Journal Of Intelligent &

Fuzzy Systems, 26, 1245-1252, 2014.

[14] Chai, J. S., Selvachandran, G., Smarandache, F., Gerogiannis, V.C., Son, L.H. & Bui,Q., New

similarity measures for single-valued neutrosophic sets with applications in pattern recognition and

medical diagnosis problems. Complex Intelligent Systems, 7, 703+. Gale Academic OneFile,

link.gale.com/apps/doc/A657253050/AONE?u=anon 1a7ebe01sid=googleScholarxid=6106ef63, 2021.


Cite this Article as :
Style #
MLA Norzieha Mustapha, Suriana Alias, Roliza Md Yasin, Nurnisa Nasuha Mohd Yusof, Nurul Najiha Fakhrarazi, Nik Nur Aisyah Nik Hassan. "New Entropy Measure Concept for Single Value Neutrosophic Sets with Application in Medical Diagnosis." International Journal of Neutrosophic Science, Vol. 19, No. 1, 2022 ,PP. 375-383 (Doi   :  https://doi.org/10.54216/IJNS.190118)
APA Norzieha Mustapha, Suriana Alias, Roliza Md Yasin, Nurnisa Nasuha Mohd Yusof, Nurul Najiha Fakhrarazi, Nik Nur Aisyah Nik Hassan. (2022). New Entropy Measure Concept for Single Value Neutrosophic Sets with Application in Medical Diagnosis. Journal of International Journal of Neutrosophic Science, 19 ( 1 ), 375-383 (Doi   :  https://doi.org/10.54216/IJNS.190118)
Chicago Norzieha Mustapha, Suriana Alias, Roliza Md Yasin, Nurnisa Nasuha Mohd Yusof, Nurul Najiha Fakhrarazi, Nik Nur Aisyah Nik Hassan. "New Entropy Measure Concept for Single Value Neutrosophic Sets with Application in Medical Diagnosis." Journal of International Journal of Neutrosophic Science, 19 no. 1 (2022): 375-383 (Doi   :  https://doi.org/10.54216/IJNS.190118)
Harvard Norzieha Mustapha, Suriana Alias, Roliza Md Yasin, Nurnisa Nasuha Mohd Yusof, Nurul Najiha Fakhrarazi, Nik Nur Aisyah Nik Hassan. (2022). New Entropy Measure Concept for Single Value Neutrosophic Sets with Application in Medical Diagnosis. Journal of International Journal of Neutrosophic Science, 19 ( 1 ), 375-383 (Doi   :  https://doi.org/10.54216/IJNS.190118)
Vancouver Norzieha Mustapha, Suriana Alias, Roliza Md Yasin, Nurnisa Nasuha Mohd Yusof, Nurul Najiha Fakhrarazi, Nik Nur Aisyah Nik Hassan. New Entropy Measure Concept for Single Value Neutrosophic Sets with Application in Medical Diagnosis. Journal of International Journal of Neutrosophic Science, (2022); 19 ( 1 ): 375-383 (Doi   :  https://doi.org/10.54216/IJNS.190118)
IEEE Norzieha Mustapha, Suriana Alias, Roliza Md Yasin, Nurnisa Nasuha Mohd Yusof, Nurul Najiha Fakhrarazi, Nik Nur Aisyah Nik Hassan, New Entropy Measure Concept for Single Value Neutrosophic Sets with Application in Medical Diagnosis, Journal of International Journal of Neutrosophic Science, Vol. 19 , No. 1 , (2022) : 375-383 (Doi   :  https://doi.org/10.54216/IJNS.190118)