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A framework for medical diagnosis via fuzzy soft matrices

Year 2016, Volume: 4 Issue: 2, 248 - 256, 01.03.2016

Abstract

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.


References

  • 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).
Year 2016, Volume: 4 Issue: 2, 248 - 256, 01.03.2016

Abstract

References

  • 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).
There are 12 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Yildiray Celik

İlknur Celik This is me

Publication Date March 1, 2016
Published in Issue Year 2016 Volume: 4 Issue: 2

Cite

APA Celik, Y., & Celik, İ. (2016). A framework for medical diagnosis via fuzzy soft matrices. New Trends in Mathematical Sciences, 4(2), 248-256.
AMA Celik Y, Celik İ. A framework for medical diagnosis via fuzzy soft matrices. New Trends in Mathematical Sciences. March 2016;4(2):248-256.
Chicago Celik, Yildiray, and İlknur Celik. “A Framework for Medical Diagnosis via Fuzzy Soft Matrices”. New Trends in Mathematical Sciences 4, no. 2 (March 2016): 248-56.
EndNote Celik Y, Celik İ (March 1, 2016) A framework for medical diagnosis via fuzzy soft matrices. New Trends in Mathematical Sciences 4 2 248–256.
IEEE Y. Celik and İ. Celik, “A framework for medical diagnosis via fuzzy soft matrices”, New Trends in Mathematical Sciences, vol. 4, no. 2, pp. 248–256, 2016.
ISNAD Celik, Yildiray - Celik, İlknur. “A Framework for Medical Diagnosis via Fuzzy Soft Matrices”. New Trends in Mathematical Sciences 4/2 (March 2016), 248-256.
JAMA Celik Y, Celik İ. A framework for medical diagnosis via fuzzy soft matrices. New Trends in Mathematical Sciences. 2016;4:248–256.
MLA Celik, Yildiray and İlknur Celik. “A Framework for Medical Diagnosis via Fuzzy Soft Matrices”. New Trends in Mathematical Sciences, vol. 4, no. 2, 2016, pp. 248-56.
Vancouver Celik Y, Celik İ. A framework for medical diagnosis via fuzzy soft matrices. New Trends in Mathematical Sciences. 2016;4(2):248-56.