Skip to main content

An Innovative and Improved Mamdani Inference (IMI) Method

  • Conference paper
  • First Online:
Advances in Soft Computing (MICAI 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11288))

Included in the following conference series:

Abstract

For a fuzzy system, inputs can be considered as crisp ones or fuzzy ones or a combination of them. Generally, the inputs are of crisp type; but sometimes they are of fuzzy type. For fuzzy inputs, the min max method for measuring the amount of matching is used. The min max method is studied in the paper and its weaknesses will be discovered in the current paper. We propose an alternative approach which is called an innovative and improved mamdani inference method (IIMI). We will show that all weaknesses of the previous min max method have been managed in the proposed inference method.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Zadeh, L.A.: Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. Syst. Man Cybern. SMC-3, 28–44 (1973)

    Article  MathSciNet  Google Scholar 

  2. Zadeh, L.A., Fu, K.S., Tanaka, K., Shimura, M. (eds.): Calculus of fuzzy restrictions, Journal, Fuzzy Sets and Their Applications to Cognitive and Decision Processes. Academic, New York (1975)

    Google Scholar 

  3. Lee, C.C.: Fuzzy logic in control systems: fuzzy logic controller-part I. IEEE Trans. Syst. Man Cybern. 20(2), 404–418 (1990)

    Article  Google Scholar 

  4. Wang, L.-X.: A Course in Fuzzy Systems and Control. Prentice-Hall International Inc, Upper Saddle River (1997)

    MATH  Google Scholar 

  5. Dubois, D., Prade, H.: Fuzzy logics and the generalized modus ponens revisited. Cybern. Syst. 15, 3–4 (1984)

    Article  MathSciNet  Google Scholar 

  6. Gupta, M.M., Kandel, A., Bandler, W., Kiszka, J.B.: The generalized modus ponens under sup-min composition_a theoretical study. In: Approximate Reasoning in Expert Systems, Amsterdam, North-Holland, pp. 217–232 (1985)

    Google Scholar 

  7. Fukami, S., Mizumoto, M., Tanaka, K.: Some considerations of fuzzy conditional inference. Fuzzy Sets Syst. 4, 243–273 (1980)

    Article  MathSciNet  Google Scholar 

  8. Baldwin, J., Guild, N.: Modeling controllers using fuzzy relations. Kybernetes 9, 223–229 (1980)

    Article  Google Scholar 

  9. Baldwin, J.F., Pilsworth, B.W.: Axiomatic approach to implication for approximate reasoning with fuzzy logic. Fuzzy Sets Syst. 3, 193–219 (1980)

    Article  MathSciNet  Google Scholar 

  10. Mamdani, E.H., Assilian, S.: An experiment in linguistic synthesis with a fuzzy logic controller. Int. J. Man-Mach. Stud. 7, 1–13 (1974)

    Article  Google Scholar 

  11. Sugeno, M.: An introductory survey of fuzzy control. Inform. Sci. 36, 59–83 (1985)

    Article  MathSciNet  Google Scholar 

  12. Lee, C.C.: Fuzzy logic in control systems: fuzzy logic controller, part II. IEEE Trans. Syst. Man Cybern. 20(2), 404–418 (1990)

    Article  Google Scholar 

  13. Zimmermann, H.J.: Fuzzy Set Theory and Its Applications, 3rd edn. Kluwer Academic Publishers, New York (1996)

    Book  Google Scholar 

  14. Mamdani, E.H.: Application of fuzzy logic to approximate reasoning using linguistic synthesis. IEEE Trans. Comput. 26, 1182–1191 (1977)

    Article  Google Scholar 

  15. Zadeh, L.A., Hayes, J.E., Michie, D., Kulich, L.I. (eds.): A theory of approximate reasoning. In: Machine Intelligence, New York, vol. 9, pp. 149–194 (1979)

    Google Scholar 

  16. Tsukamoto, Y., Gupta, W., (eds.) An approach to fuzzy reasoning method. Adv. Fuzzy Set Theor. Appl. 137–149 (1979). North-Holland, Amsterdam

    Google Scholar 

  17. Sugeno, M., Takagi, T.: Multidimensional fuzzy reasoning. Fuzzy Sets Syst. 9, 313–325 (1983)

    Article  MathSciNet  Google Scholar 

  18. Wangming, W.: Equivalence of some methods on fuzzy reasoning. IEEE (1990)

    Google Scholar 

  19. Mizumotom, M., Zimmermann, H.: Comparison of fuzzy reasoning methods. Fuzzy Sets Syst. 8, 253–283 (1982)

    Article  MathSciNet  Google Scholar 

  20. Mizumoto, M.: Comparison of various fuzzy reasoning methods. In: Proceedings 2nd IFSA Congress, Tokyo, Japan, pp. 2–7, July 1987

    Google Scholar 

  21. Mamdani, E.H.: Advances in the linguistic synthesis of fuzzy controllers. Int. J. Man-Mach. Stud. 8, 669–678 (1976)

    Article  Google Scholar 

  22. Alizadeh, H.: Adaptive matching degree, Technical report of Fuzzy Course, Iran University of Science and Technology (2007). (in Persian)

    Google Scholar 

  23. Alizadeh, H., Mozayani, N.: A new approach for determination of matching degree in fuzzy inference. In: Proceedings of the 3rd International Conference on Information and Knowledge Technology (IKT07), Faculty of Engineering, Ferdowsi University of Mashad, Mashad, Iran, 27–29 November 2007. (in Persian)

    Google Scholar 

  24. Alizadeh, H., Mozayani, N., Minaei, B.B.: Adaptive matching for improvement of fuzzy inference engine. In: Proceedings of the 13th National CSI Computer Conference (CSICC08), Kish Island, Persian Gulf, Iran, 9–11 March 2008. (in Persian)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vahideh Rezaie .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Jamalinia, H., Alizadeh, Z., Nejatian, S., Parvin, H., Rezaie, V. (2018). An Innovative and Improved Mamdani Inference (IMI) Method. In: Batyrshin, I., Martínez-Villaseñor, M., Ponce Espinosa, H. (eds) Advances in Soft Computing. MICAI 2018. Lecture Notes in Computer Science(), vol 11288. Springer, Cham. https://doi.org/10.1007/978-3-030-04491-6_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-04491-6_32

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04490-9

  • Online ISBN: 978-3-030-04491-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics