Intuitionistic Fuzzy Soft Set Theory and Its Application in Medical Diagnosis
DOI:
https://doi.org/10.6000/1929-6029.2018.07.03.2Keywords:
Fuzzy set, Soft set, Fuzzy soft set, Intuitionistic fuzzy soft set, Medical documentation, Medic diagnosis.Abstract
For finding coherent and logical solution to various real life problems containing uncertainty, impreciseness and vagueness, fuzzy soft set theory is gaining importance. Later on a theoretical study of the intuitionistic fuzzy soft set was developed. The combination of intuitionistic fuzzy set and intuitionistic fuzzy soft set are more useful for application point of view in the field wherever uncertainty due to vagueness appear in more complex form.
In the present communication the concepts of fuzzy soft set and Intuitionistic fuzzy soft Setare defined as hybridization of fuzzy set and soft set theory. A new method of application of intuitionistic fuzzy soft set is studied in Medical Diagnosis following Sanchez’s approach. A hypothetical case study is also discussed in brief using the proposed method.
References
Atanassov, Krassimir T. Intuitionistic Fuzzy Sets Theory and Applications. Physics-Verlag, A Spring-Verlag Company, New York, 1999. https://doi.org/10.1007/978-3-7908-1870-3 DOI: https://doi.org/10.1007/978-3-7908-1870-3_5
Atanassov, Krassimir T. Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems 1986;20: 87-96. https://doi.org/10.1016/S0165-0114(86)80034-3 DOI: https://doi.org/10.1016/S0165-0114(86)80034-3
Chen D, Tsang ECC, Yeung DS, Wang X. The Parameterization Reduction of Soft Sets and its Application. Computer and Mathematics with Applications 2005; 49: 757-63. https://doi.org/10.1016/j.camwa.2004.10.036 DOI: https://doi.org/10.1016/j.camwa.2004.10.036
De SK,Biswas R, Roy AR. An application of intuitionistic fuzzy sets in medicalDiagnosis. Fuzzy Sets and Systems 2001; 117:209-13. https://doi.org/10.1016/S0165-0114(98)00235-8 DOI: https://doi.org/10.1016/S0165-0114(98)00235-8
Gupta P, Sharma OD. Feature Selection: an Overview, International Journal of Information Engineering and Technology 2015;1:1-12.
Hooda DS, Kumari R. On application of fuzzy soft sets in dimension reduction and medical diagnosis. Advances in Research 2017; 12(2): 1-9. https://doi.org/10.9734/AIR/2017/36960 DOI: https://doi.org/10.9734/AIR/2017/36960
Maji PK, Biswas R, Roy AR. Intuitionistic Fuzzy Soft Sets. The Journal of Fuzzy Mathematics 2001; 9(3): 677-92.
Maji PK, Biswas R, Roy AR. An application of soft sets in a decision making problem. Computer and Mathematics with Application 2002; 44:1077-83. https://doi.org/10.1016/S0898-1221(02)00216-X DOI: https://doi.org/10.1016/S0898-1221(02)00216-X
Maji PK, Roy AR. Soft Set Theory. Computers and Mathematics with Applications2003; 45: 555-62. https://doi.org/10.1016/S0898-1221(03)00016-6 DOI: https://doi.org/10.1016/S0898-1221(03)00016-6
Majumder P, Samanta SK. Generalised Fuzzy Soft Sets. Comput Math Appl 2010, 59(4): 1425-32. https://doi.org/10.1016/j.camwa.2009.12.006 DOI: https://doi.org/10.1016/j.camwa.2009.12.006
Molodstov DA. Soft Set Theory–First Result. Computers and Mathematics with Applications 1999; 37:19-31. https://doi.org/10.1016/S0898-1221(99)00056-5 DOI: https://doi.org/10.1016/S0898-1221(99)00056-5
Neogand TJ, Sut DK.Theory of Fuzzy Soft Sets from a New Perspective. International Journal of Latest Trends in Computing 2011; 2(3): 439-50.
Neogand TJ, Sut DK. A New Approach to the Theory of Soft Sets. International Journal of Computer Applications 2011; 32(2): 1-6.
Pawlak Z. Rough Sets. International Journal of Information and Computer Sciences 1982; 11: 341-56. https://doi.org/10.1007/BF01001956 DOI: https://doi.org/10.1007/BF01001956
Sanchez E. Inverses of fuzzy relation and applications to possibility distributions and Medical diagnosis. Fuzzy Sets and Systems 1979; 2(1):75-86. https://doi.org/10.1016/0165-0114(79)90017-4 DOI: https://doi.org/10.1016/0165-0114(79)90017-4
Zadeh LA. Fuzzy Sets. Information and Control 1965; 8: 338-53. https://doi.org/10.1016/S0019-9958(65)90241-X DOI: https://doi.org/10.1016/S0019-9958(65)90241-X
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