Fuzzy Inference System Through Triangular and Hendecagonal Fuzzy Number

  • A. FelixEmail author
  • A. D. Dhivya
  • T. Antony Alphonnse Ligori
Conference paper
Part of the Trends in Mathematics book series (TM)


A fuzzy inference system works on the basis of fuzzy if-then rules to mimic human intelligence for quantifying the vagueness/uncertainty, which arises in many real-world problems. In this paper, fuzzy inference system is designed using triangular and hendecagonal fuzzy number that represent the value for the linguistic environment. The factors of T2DM mellitus play a critical role in affecting each and every individual health without their knowledge. In this paper, the factor of “Blood Glucose”, medical term known as hyperglycemia, is analyzed through this fuzzy inference system (FIS).


Triangular Fuzzy Number Hendecagonal Fuzzy number Linguistic Variables Inference system 


  1. 1.
    Ajay Kumar Shrivastava., Akash Rajak., Niraj Singhal.: Modeling Pulmonary Tuberculosis using Adaptive Neuro Fuzzy Inference System, International Journal of Innovative Research in Computer Science & Technology, 4(1), 24–27 (2016)Google Scholar
  2. 2.
    Ajmalahamed, A., Nandhini, K.M., Krishna Anand.: Designing A Rule Based Fuzzy Expert Controller For Early Detection And Diagnosis of Diabetes, ARPN Journal of Engineering and Applied Sciences, 9(5), 819–827 (2014)Google Scholar
  3. 3.
    Ambilwade, R.P., Manza., Ravinder Kaur, R. : Prediction of Diabetes Mellitus and its Complications using Fuzzy Inference System, International Journal of Emerging Technology and Advanced Engineering, Certified Journal, 6(7), 80–86 (2016)Google Scholar
  4. 4.
    Faran Baig., Saleem, M., Yasir Noor., Imran Khan, M.: Design Model Of Fuzzy Logic Medical Diagnosis Control System, International Journal On Computer Science And Engineering (IJCSE), 3(5), 2093–2108 (2011)Google Scholar
  5. 5.
    Devadoss, AV., Dhivya, A.D., Felix, A.: A Hendecagonal Fuzzy Number and Its Vertex Method, International Journal of Mathematics And its Applications, 4(1-B), 87–98 (2016)Google Scholar
  6. 6.
    Guillaume, S.: Designing Fuzzy Inference Systems from Data: An Interpretability-Oriented Review, IEEE Transactions on Fuzzy Systems, 9(3), 426–443 (2001)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Kandel, A. Fuzzy Expert Systems. CRC Press, Inc., Boca Raton, FL (1991).zbMATHGoogle Scholar
  8. 8.
    Kosko, B.: Neural Networks and Fuzzy Systems: A dynamical systems approach. Prentice Hall, Upper Saddle River, NJ (1991)zbMATHGoogle Scholar
  9. 9.
    Leonardo Yunda., David Pacheco Jorge Millan.: A Web-based Fuzzy Inference System Based Tool for Cardiovascular Disease Risk Assessment, NOVA, 13(24), 7–16 (2015)CrossRefGoogle Scholar
  10. 10.
    Mamdani, E.H., Assilian, S.: An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller. International Journal of Man-Machine Studies, 7(1), 1-13 (1975)CrossRefGoogle Scholar
  11. 11.
    Nauck, M.A., Wollschläger, D., Werner, J.: Effects of subcutaneous glucagon-like peptide 1 (GLP-1 [7-36 amide]) in patients with NIDDM. Diabetologia, 39(12), 1546–1553 (1996)CrossRefGoogle Scholar
  12. 12.
    Shristi Tiwari., Deepti Choudhary., Shubi Sharda.: Prediction Of Lung Cancer Using Fuzzy Inference System, International Journal of Current Innovation Research, 2(6), 392–395 (2016)Google Scholar
  13. 13.
    Sugeno, M., Kang, G.T.: Structure Identification of Fuzzy Model, Fuzzy Sets and Systems, 28, 15–33 (1988)MathSciNetCrossRefGoogle Scholar
  14. 14.
    Takagi, T., Sugeno.: Fuzzy Identification of Systems and Its Applications to Modeling and Control. IEEE Transactions on Systems, Man, and Cybernetics, 15, 116–132 (1985)CrossRefGoogle Scholar
  15. 15.
    Zadeh, L.A.: Soft Computing and Fuzzy Logic, IEEE software, 11(6), 48–56 (1994)CrossRefGoogle Scholar
  16. 16.
    Zadeh, L.A.: Fuzzy sets, Information and Control, 8, 338–353 (1965)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • A. Felix
    • 1
    Email author
  • A. D. Dhivya
    • 2
  • T. Antony Alphonnse Ligori
    • 3
  1. 1.Department of Mathematics, SASVITChennaiIndia
  2. 2.Department of MathematicsLoyola CollegeChennaiIndia
  3. 3.Department of MathematicsGaeddu College of Business StudiesGeduBhutan

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