A framework for medical diagnosis via fuzzy soft matrices

Yıl 2016, Cilt: 4 Sayı: 2, 248 - 256, 01.03.2016

Yildiray Celik , İlknur Celik

Öz

In this paper we introduce matrice represantation of fuzzy soft sets. By using the notion of fuzzy soft matrices, we apply fuzzy soft set technology through the well known Sanchez’s [8] approach for medical diagnosis. Also we exhibit the technique with a hypothetical case study.

Anahtar Kelimeler

Fuzzy soft set, fuzzy soft matrices

Kaynakça

• L.A. Zadeh, Fuzzy sets, Inf. Control, 8, 338-353, (1965).
• Z. Pawlak, Rough sets, Int. J. Inf. Comp. Sci., 11, 341-356, (1982).
• D. Molodtsov, Soft set theory-first result, Computers and Mathematics with Applications, 37, 19-31, (1999).
• P.K. Maji, R. Biswas and A.R. Roy, Fuzzy Soft Set, The Journal of Fuzzy Mathematics, 9(3), 677-692, (2001).
• T.J. Neog and D.K. Sut, Theory of Fuzzy Soft Sets From a New Perspective, International Journal of Latest Trends in Computing, 2(3), 439-450, (2011).
• S.K. De, R. Biswas and A.R. Roy, An Application of Intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems, 117, 209-213, (2001).
• E. Sanchez, Resolution of composite fuzzy relation equations, Information and control, 30, 38-48, (1976).
• E. Sanchez, Inverse of fuzzy relations, Application to possibility distributions and medical diagnosis, Fuzzy Sets and Systems, 2(1), 75-86, (1979).
• B.K. Saikia, P.K. Das and A.K. Borkakati, An Application of Intuitionistic fuzzy soft sets in medical diagnosis, Bio Science Research Bulletin, 19(2), 121-127, (2003).
• B. Chetia and P.K. Das, An Application of Interval valued fuzzy soft set in medical diagnosis, Int.J.contempt. math. sciences, 5(38), 1887-1894,(2010).
• A.R. Meenakshi and M. Kaliraja, An Application of Interval Valued Fuzzy Matrices in Medical Diagnosis, Int. Journal of Math. Analysis, 5(36), 1791-1802, (2011).
• MI. Ali and M. Shabir Comments on De Morgan’s law in fuzzy soft sets. J. Fuzzy Math., 18(3), 679-686, (2010).