A fuzzy neutrosophic soft set model in medical diagnosis

The focus of this paper is to explore the notion of fuzzy neutrosophic sets and soft sets. A novel approach is proposed to meet the challenges in medical diagnosis. The calculation of distances, a new score function are all defined to discuss in decision making problem. A topological structure on fuzzy neutrosophic soft set is considered as a tool to derive some of their characterizations.

[1]  Naim Çagman,et al.  Soft topology , 2015, Comput. Math. Appl..

[2]  Florentin Smarandache,et al.  Neutrosophic set - a generalization of the intuitionistic fuzzy set , 2004, 2006 IEEE International Conference on Granular Computing.

[3]  Athar Kharal,et al.  On Fuzzy Soft Sets , 2009, Adv. Fuzzy Syst..

[4]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[5]  Elie Sanchez,et al.  Resolution of Composite Fuzzy Relation Equations , 1976, Inf. Control..

[6]  Athar Kharal,et al.  Mappings on Fuzzy Soft Classes , 2009, Adv. Fuzzy Syst..

[7]  E. Sanchez SOLUTIONS IN COMPOSITE FUZZY RELATION EQUATIONS: APPLICATION TO MEDICAL DIAGNOSIS IN BROUWERIAN LOGIC , 1993 .

[8]  Krassimir T. Atanassov,et al.  Intuitionistic Fuzzy Sets - Theory and Applications , 1999, Studies in Fuzziness and Soft Computing.

[9]  D. Molodtsov Soft set theory—First results , 1999 .

[10]  Yanhui Guo,et al.  New neutrosophic approach to image segmentation , 2009, Pattern Recognit..

[11]  Ranjit Biswas,et al.  An application of intuitionistic fuzzy sets in medical diagnosis , 2001, Fuzzy Sets Syst..

[12]  Naim cCaugman,et al.  Similarity measures of intuitionistic fuzzy soft sets and their decision making , 2013, 1301.0456.

[13]  J. Martina Jency,et al.  Fuzzy Neutrosophic Soft Topological Spaces , 2013 .

[14]  Pabitra Kumar Maji,et al.  FUZZY SOFT SETS , 2001 .

[15]  S. K. Samanta,et al.  SIMILARITY MEASURE OF SOFT SETS , 2008 .

[16]  Athar Kharal,et al.  DISTANCE AND SIMILARITY MEASURES FOR SOFT SETS , 2010, 1006.4904.

[17]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .