Abstract
The notion of intuitionistic fuzzy sets (IFSs) helps to an observer to incorporate the hesitancy value in the degree of membership function. The hesitancy factor comes from his basic knowledge, past experience, situation, depth of the standard terminologies, and many more characteristics; so the degree of membership function involved uncertainty under IFSs. Hence, the uncertainty included with an observer in the choice of membership grade under IFSs needs to be further improved by a moderator parameter to make the uncertain behavior more accurate. This can be done by introducing the concept of moderator intuitionistic fuzzy set (MIFS) as a generalization of IFSs. Furthermore, some properties and operators are defined over MIFSs similar to IFSs. Finally, a real-life problem of medical diagnosis is considered to apply the proposed approach effectively.
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References
Zadeh, L.A.: Fuzzy set. Inf. Control 8, 338–353 (1965)
Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)
Chen, S.M., Tan, J.M.: Handling multi criteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst. 67, 163–172 (1994)
Hong, D.J., Choi, C.H.: Multi criteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst. 114, 103–113 (2000)
Xu, Z.S.: Intuitionistic fuzzy aggregation operations. IEEE Trans. Fuzzy Syst. 15, 1179–1187 (2007)
De, S.K., Biswas, R., Roy, A.R.: An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets Syst. 117(2), 209–213 (2001)
Sanchez, E.: Solutions in composite fuzzy relation equation. Application to medical diagnosis Brouwerian Logic. In: Gupta, M.M., Saridis, G.N., Gaines, B.R. (eds.) Fuzzy Automata and Decision Process. Elsevier, North-Holland (1977)
Sanchez, E.: Resolution of composition fuzzy relation equations. Inform. Control. 30, 38–48 (1976)
Agarwal, M., Hanmandlu, M., Biswas, K.K.: Generalized intuitionistic fuzzy soft set and its application in practical medical diagnosis problem. In: 2011 IEEE International Conference on Fuzzy Systems, Taipei, Taiwan 27–30 June 2011
Agarwal, M., Biswas, K.K., Hanmandlu, M.: Generalized intuitionistic fuzzy soft set with application in decision making. Appl. Soft Comput. 13, 3552–3566 (2013)
Yu, D.: Intuitionistic fuzzy information aggregation under confidence levels. Appl. Soft Comput. 19, 147–160 (2014)
Atanassov, K.: Intuitionistic fuzzy sets: Theory and Applications. Springer, Berlin (1999)
Acknowledgments
The authors are very thankful to the Director, Seemant Institute of Technology, Pithoragarh, India for his kind support and proper guidance.
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Joshi, B.P., Kharayat, P.S. (2016). Moderator Intuitionistic Fuzzy Sets and Application in Medical Diagnosis. In: Satapathy, S., Raju, K., Mandal, J., Bhateja, V. (eds) Proceedings of the Second International Conference on Computer and Communication Technologies. Advances in Intelligent Systems and Computing, vol 380. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2523-2_16
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DOI: https://doi.org/10.1007/978-81-322-2523-2_16
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