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Notes on Fuzzy Functions and an Application in Fuzzy Control

Journal Name:

  • Journal of Control Engineering and Technology

Publication Year:

  • 2012

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
This paper proposes fuzzy pertinence functions, fuzzy disjunctive and conjunctive functions defined in a geometrical real positive space, a mean operator defined in the (-1,1) fuzzy space, and examples of possible applications. The general class of fuzzy operators is defined in the geometrical space. The general class of pertinence functions and the mean operator makes possible the control of an inverted pendulum with only one control rule and a smooth control surface.
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FULL TEXT (PDF): 
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  • 1
20-23
  • English

REFERENCES

References: 

[1] L. A. Zadeh, “Fuzzy sets”, Inf. Control vol. 8, pp. 338-352, 1965.
[2] D. Dubois and H. Prade, Fuzzy Sets and Systems, Academic Press, 1980..
[3] L. F. J. Maia, “Concepts characterization and recognition”, Dr. Eng. thesis, State University of Campinas, SP, Brazil, 1991.
[4] Dombi: “A general class of fuzzy operators, the De Morgan class of fuzzy operators and fuzziness measures induced by fuzzy operators”, Fuzzy Sets and Systems, vol. 8, pp. 149-163, 1982.
[5] P. H. Lindsay and D. A. Norman, Human Information Processing, 2nd ed., Academic Press, 1977.
[6] K. M. Passino and S. Yurkovich, Fuzzy Control, Addison-Wesley, 1997.

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