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Issue:Defuzzification of intuitionistic fuzzy sets

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Title of paper: Defuzzification of intuitionistic fuzzy sets
Author(s):
C. Radhika
Department of Mathematics, Vellalar College for Women, Erode – 638 012, Tamilnadu, India
radhi_math@rediffmail.com
R. Parvathi
Department of Mathematics, Vellalar College for Women, Erode – 638 012, Tamilnadu, India
paarvathis@rediffmail.com
Published in: "Notes on IFS", Volume 22, 2016, Number 5, pages 19—26
Download:  PDF (123  Kb, Info)
Abstract: Defuzzification is the process of converting a fuzzy quantity to precise quantity, just as fuzzification is the conversion of a precise quantity to a fuzzy quantity. Various types of defuzzification methods, are available for conversion of fuzzy to non-fuzzy. In this paper, defuzzification functions in intuitionistic fuzzy environment such as triangular, trapezoidal, L-trapezoidal, R-trapezoidal, Gaussian, S-haped, Z-shaped functions are defined. The proposed defuzzification techniques are useful to develop intuitionistic fuzzy logic controller.
Keywords: Intuitionistic fuzzy sets, Membership and non-membership functions, Intuitionistic fuzzy index, Intuitionistic fuzzification functions, Defuzzification functions.
AMS Classification: 03E72.
References:
  1. Ban, A. Kacprzyk, J. & Atanassov, K. (2008) On De-I-fuzzification of Intuitionistic Fuzzy Sets, Comptes Rendus de l’Academie bulgare des Sciences, 61(12), 1535–1540.
  2. Dubois, D. & Prade, H. (1980) Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York.
  3. Klir, G. J. & Yuan, B. (1996) Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice-Hall, New Jersey.
  4. Yen, J. & Langari, R. (2007) Fuzzy Logic Intelligence, Control and Information, Pearson Education Limited.
  5. Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, Heidelberg, New York.
  6. Yang, L., Ji-Xue, H. & Hong-yan, Y., Ying-jie, L. (2008) Normal Technique for Ascertaining Non-membership functions of Intuitionistic Fuzzy Sets, IEEE Chinese Conference on Control and Decision, 2604–2607.
  7. Angelov, P. (1995) Crispification: Defuzzification of Intuitionistic Fuzzy Sets, BUSEFAL, 64, 51–55.
  8. Radhika, C. & Parvathi, R. (2016) Intuitionistic Fuzzification Functions, Global Journal of Pure and Applied Mathematics, 12(2), 1211–1227.
  9. Rajasekaran, S., & Vijayalakshmi Pai, G. A. (2003) Neural Networks, Fuzzy Logic, and Genetic Applications: Synthesis and Applications, Prentice Hall of India.
  10. Seising, R. (2007) The Fuzzification of Systems - The Genesis of Fuzzy Set Theory and its Initial Applications - Developments up to the 1970s. Studies in Fuzziness and Soft Computing,Springer-Verlag, Heidelberg, New York.
  11. Sivanandan, S.N., Sumathi, S. & Deepa, S.N. (2007) Introduction to Fuzzy logic using MATLAB, Springer.
  12. Ross, T. J. (2011) Fuzzy Logic with Engineering Applications, Wiley India Private Limited.
  13. Atanassova, V., & Sotirov, S. (2012) A New Formula for De-i-fuzzification of Intuitionistic Fuzzy Sets, Notes on Intuitionistic Fuzzy Sets, 18(3), 49–51.
  14. Zadeh, L.A. (1965) Fuzzy Sets, Information and Control, 338–353.
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