Edward Samuel .A


In this paper, sine logarithmic distance among neutrosophic refined sets is proposed and some of its properties are discussed herein. The concept of the above method is an essential tool for dealing with uncertainties and shortcomings that affect the existing methods. Implementation of medical diagnosis is presented to find out the disease impacting the patient.

Keywords:Neutrosophic set, neutrosophic refined set, sine logarithmic distance, medical diagnosis.

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Edward Samuel.A and Narmadhagnanam.R, “Neutrosophic refined sets in medical diagnosis”, International Journal of Fuzzy Mathematical Archive,vol.14(1),2017,pp. 117-123. DOI:

FlorentinSmarandache, “A unifying field in logics, Neutrosophy: Neutrosophicprobability,set& logic”, Rehoboth:American Research Press, 1998. DOI :

FlorentinSmarandache, “n-valued refined neutrosophic logic & its application in Physics”, Progress in Physics, vol.4,2013, pp. 143-146. DOI :

Irfan Deli,Said Broumi, FlorentinSmarandache, “On neutrosophic refined sets & their applications in medical diagnosis”, Journal of New Theory, vol.6,2015, pp. 88-98. DOI: 10.5281/zenodo.49112

Jun Ye, “Vector similarity measures of simplified neutrosophicsets & their application inmulticriteria decision making”, International Journal of Fuzzy systems, vol.16(2),2014, pp. 204-215. DOI : 16(2):204-211

KalyanMondal, SurapatiPramanik, “Neutrosophic refined similarity measure based on cotangent function & its application to multi-attribute decision making”, Global Journal of Advanced Research, vol.2(2),2015, pp. 486-496. DOI: 10.5281/zenodo.23176

KalyanMondal, SurapatiPramanik, “Neutrosophic refined similarity measure based on tangent function & its application to multi-attribute decision making”, Journal of New Theory, vol.8,2015, pp. 41-50.

Pawlak.Z, “Rough sets”, International Journal of Information and Computer Sciences vol.11,1982, pp. 341-356.

Said Broumi, FlorentinSmarandache, “Neutrosophic refined similarity measure basedon cosine function”,Neutrosophic sets and systems, vol.6,2014, pp. 42-48.DOI: 10.5281/zenodo.30230

Said Broumi, FlorentinSmarandache,“Extended Hausdorffdistance and similarity measures for neutrosophicrefined sets & their applications in medical diagnosis”, Journal ofNew Theory, vol.7,2015, pp. 64-78. DOI: 10.5281/zenodo.49141

Sebastian S, Ramakrishnan T.V, “Multi fuzzy sets”,International Mathematical Forum, vol.5(50),2010, pp. 2471-2476.

Sebastian S, Ramakrishnan T.V, “Multi fuzzy sets:an extension of fuzzy sets”,Fuzzy Information Engineering, vol.3(1),2011, pp. 35-43.DOI:10.1007/s12543-011-0064-y

Shinoj T.K, John S.J, “Intuitionisticfuzzymultisets& its application in medical diagnosis”,World Academy of Science ,Engineering and Technology, vol.61,2012, pp. 1178-1181. download? doi=

Yager R.R, “On the theory of bags(Multisets)”, International Journal of General Systems, vol.13,1986, pp. 23-37.

Zadeh L.A, “Fuzzy sets”, Information and Control, vol.8,1965, pp. 338-353. 10.1016/S0019-9958(65)90241-X


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