BibTex RIS Cite

A NOVEL APPROACH TO DEFINITION OF FUZZY FUNCTIONS

Year 2010, Volume: 59 Issue: 1, 1 - 8, 01.02.2010
https://doi.org/10.1501/Commua1_0000000652

Abstract

Abstract. Purpose of the paper is to suggest a new approach in the fuzzy
function concept. This approach not only answers the needs of application but
also obeys the mathematical rules. Corresponding fuzzy function is defined,
continuity of it is investigated and how to use the function concept, which is
defined in applied problems, is presented in this paper

References

  • Zadeh L.A., Fuzzy sets, Inf. Control 8 (1965) 338–353.
  • Sugeno M.,Yasukawa T., A fuzzy-logic-based approach to qualitative modeling, IEEE Trans- actions on Fuzzy Systems 1(1), (1993) 7–31
  • Takagi T., Sugeno M., Fuzzy identi…cation of systems and its applications to modeling and control, IEEE Trans. Syst. Man Cybern. SMC-15 (1)(1985) 116–132.
  • Tanaka H., Fuzzy data analysis by possibilistic linear models, Fuzzy Sets and Systems, 24 (1991) 363–375.
  • Bezdek, J.C., Pattern recognition with fuzzy ob jective function algorithms, Plenum Press, New York,1981
  • Mamdani E.H., Assilian S., An experiment in linguistic synthesis with a fuzzy, logic controller, in: Mamdani E.H., Gains B.R. (Eds.), Fuzzy Reasoning and Its Applications, Academic Press, New York, 1981, pp. 311–323.
  • Türk¸sen I.B., Fuzzy Functions with LSE, Applied Soft Computing 8 (2008) 1178–1188
  • Demirci M., Fuzzy Functions and their fundamental properties, Fuzzy Sets and Systems, 106 (1999) 239–246.
  • Sasaki M., Fuzzy functions, Fuzzy sets and systems, 55(1993),295-301 Current address : Computer Engineering Department of Ankara University, Aziz Kansu Build
Year 2010, Volume: 59 Issue: 1, 1 - 8, 01.02.2010
https://doi.org/10.1501/Commua1_0000000652

Abstract

References

  • Zadeh L.A., Fuzzy sets, Inf. Control 8 (1965) 338–353.
  • Sugeno M.,Yasukawa T., A fuzzy-logic-based approach to qualitative modeling, IEEE Trans- actions on Fuzzy Systems 1(1), (1993) 7–31
  • Takagi T., Sugeno M., Fuzzy identi…cation of systems and its applications to modeling and control, IEEE Trans. Syst. Man Cybern. SMC-15 (1)(1985) 116–132.
  • Tanaka H., Fuzzy data analysis by possibilistic linear models, Fuzzy Sets and Systems, 24 (1991) 363–375.
  • Bezdek, J.C., Pattern recognition with fuzzy ob jective function algorithms, Plenum Press, New York,1981
  • Mamdani E.H., Assilian S., An experiment in linguistic synthesis with a fuzzy, logic controller, in: Mamdani E.H., Gains B.R. (Eds.), Fuzzy Reasoning and Its Applications, Academic Press, New York, 1981, pp. 311–323.
  • Türk¸sen I.B., Fuzzy Functions with LSE, Applied Soft Computing 8 (2008) 1178–1188
  • Demirci M., Fuzzy Functions and their fundamental properties, Fuzzy Sets and Systems, 106 (1999) 239–246.
  • Sasaki M., Fuzzy functions, Fuzzy sets and systems, 55(1993),295-301 Current address : Computer Engineering Department of Ankara University, Aziz Kansu Build
There are 9 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Sahin Emrah Amrahov This is me

N. Askerzade I. This is me

Publication Date February 1, 2010
Published in Issue Year 2010 Volume: 59 Issue: 1

Cite

APA Amrahov, S. E., & Askerzade I., N. (2010). A NOVEL APPROACH TO DEFINITION OF FUZZY FUNCTIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 59(1), 1-8. https://doi.org/10.1501/Commua1_0000000652
AMA Amrahov SE, Askerzade I. N. A NOVEL APPROACH TO DEFINITION OF FUZZY FUNCTIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2010;59(1):1-8. doi:10.1501/Commua1_0000000652
Chicago Amrahov, Sahin Emrah, and N. Askerzade I. “A NOVEL APPROACH TO DEFINITION OF FUZZY FUNCTIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 59, no. 1 (February 2010): 1-8. https://doi.org/10.1501/Commua1_0000000652.
EndNote Amrahov SE, Askerzade I. N (February 1, 2010) A NOVEL APPROACH TO DEFINITION OF FUZZY FUNCTIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 59 1 1–8.
IEEE S. E. Amrahov and N. Askerzade I., “A NOVEL APPROACH TO DEFINITION OF FUZZY FUNCTIONS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 59, no. 1, pp. 1–8, 2010, doi: 10.1501/Commua1_0000000652.
ISNAD Amrahov, Sahin Emrah - Askerzade I., N. “A NOVEL APPROACH TO DEFINITION OF FUZZY FUNCTIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 59/1 (February 2010), 1-8. https://doi.org/10.1501/Commua1_0000000652.
JAMA Amrahov SE, Askerzade I. N. A NOVEL APPROACH TO DEFINITION OF FUZZY FUNCTIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2010;59:1–8.
MLA Amrahov, Sahin Emrah and N. Askerzade I. “A NOVEL APPROACH TO DEFINITION OF FUZZY FUNCTIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 59, no. 1, 2010, pp. 1-8, doi:10.1501/Commua1_0000000652.
Vancouver Amrahov SE, Askerzade I. N. A NOVEL APPROACH TO DEFINITION OF FUZZY FUNCTIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2010;59(1):1-8.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.