A NOVEL APPROACH TO DEFINITION OF FUZZY FUNCTIONS

Sahin Emrah Amrahov; N. Askerzade I.

doi:10.1501/Commua1_0000000652

A NOVEL APPROACH TO DEFINITION OF FUZZY FUNCTIONS

Year 2010, Volume: 59 Issue: 1, 1 - 8, 01.02.2010

Sahin Emrah Amrahov N. Askerzade I.

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

Keywords

Fuzzy functions, fuzzy sets, fuzzy coordinates, fuzzy rules

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

Sahin Emrah Amrahov N. Askerzade I.

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.