Research Article
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ON THE DETERMINATION STUDENTS' APTITUDE USING INTUITIONISTIC FUZZY LOGIC

Year 2019, , 36 - 41, 30.01.2019
https://doi.org/10.33773/jum.503863

Abstract

In this paper, we have proposed an application of intuitionistic
fuzzy set in high school determination using normalized hamming distance
method. The purpose of this paper is to ensure that the high schools select
the best students according to the quotas.Intuitionistic fuzzy set is lucrative
model in order to detail uncertainty involved in decision making. In this pa-
per; enroll of students to the high schools has been intuitionally determined
according to students' pilot test score. Normalized hamming distance method
has been utilized in order to measure the distance between the student and
each high school. The schools, in which each of the students have enrolled,
have determined via normalized hamming distance method depending on ex-
amination that is performed for transition to high school education. Solution
has been stated by measuring the smallest distance between the student and
each school.

References

  • L.A. Zadeh, Fuzzy Sets, Information and Control, 8, pp.338-353,(1965).
  • K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), pp.87-96,(1986).
  • K. Atanassov, Intuitionistic Fuzzy Sets,Theory and Applications, Physica-Verlag Heidelberg, Germany,(1999).
  • E. Szmidt and J. Kacprzyk, On Measuring Distances Between Intuitionistic Fuzzy Sets, Notes on IFS,3(4),pp.1-3,(1997).
  • E. Szmidt and J.Kacprzyk, Distances Between Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 114(3),pp. 505-518,(2000).
  • E. Szmidt and J. Kacprzyk,Intuitionistic Fuzzy Sets in Some Medical Applications, Notes on IFS, 7(4), pp. 58-64,(2001).
  • E. Szmidt and J. Kacprzyk,Medical Diagnostic Reasoning Using a Similarity Measure for Intuitionistic Fuzzy Sets, Notes on IFS, 10(4), pp. 61-69,(2004).
  • Dr.G.Vasanti and T.Viswanadham, Intuitionistic Fuzzy Sets and Its Application in Student Performance Determination of a Course via Normalized Euclidean DistanceMethod,International Journal of Multidisciplinary and Scientific Emerging Research, Vol.4,No.1,(2015).
  • P.A. Ejegwa, S.N.Chukwukelu and D.E.Odoh, Test of Accuracy of Some Distance Measures Use in the Application of Intuitionistic Fuzzy Sets in Medical Diagnosis, Journal of Global Research in Mathematical Archives,Vol.2, No.5, pp.55-60,(2014).
  • P.A. Ejegwa, A.M.Onoja and I.T.Emmanuel, A Note Some Models of Intuitionistic Fuzzy Sets in Real Life Situations,Journal of Global Research in Mathematical Archives,Vol.2, No.5,pp.42-50,(2014).
  • P.A.Ejegwa, A.J.Akubo and O.M.Joshua, Intuitionistic Fuzzy Sets and Its Application in Career Determination via Normalized Euclidean Distance Method, European Scientific Journal,Vol.10, No.15,(2014).
  • P.A.Ejegwa, A.J.Akubo and O.M.Joshua.O.M.,Intuitionistic Fuzzy Sets in Career Determination, Global Journal of Science Frontier Research: F Mathematics and Decision Sciences, Vol.14, No.3,(2014).
  • A.Kaufmann, Introduction to the theory of fuzzy sets, Academic Press, New York,(1975).
  • F.Tuğrul, M.Gezercan and M. Citil, Application of Intuitionistic Fuzzy Set in High School Determination Via Normalized Euclidean Distance Method, Notes on Intuitionistic Fuzzy Sets, Vol.23, No.1,pp.42-47(2017).
Year 2019, , 36 - 41, 30.01.2019
https://doi.org/10.33773/jum.503863

Abstract

References

  • L.A. Zadeh, Fuzzy Sets, Information and Control, 8, pp.338-353,(1965).
  • K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), pp.87-96,(1986).
  • K. Atanassov, Intuitionistic Fuzzy Sets,Theory and Applications, Physica-Verlag Heidelberg, Germany,(1999).
  • E. Szmidt and J. Kacprzyk, On Measuring Distances Between Intuitionistic Fuzzy Sets, Notes on IFS,3(4),pp.1-3,(1997).
  • E. Szmidt and J.Kacprzyk, Distances Between Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 114(3),pp. 505-518,(2000).
  • E. Szmidt and J. Kacprzyk,Intuitionistic Fuzzy Sets in Some Medical Applications, Notes on IFS, 7(4), pp. 58-64,(2001).
  • E. Szmidt and J. Kacprzyk,Medical Diagnostic Reasoning Using a Similarity Measure for Intuitionistic Fuzzy Sets, Notes on IFS, 10(4), pp. 61-69,(2004).
  • Dr.G.Vasanti and T.Viswanadham, Intuitionistic Fuzzy Sets and Its Application in Student Performance Determination of a Course via Normalized Euclidean DistanceMethod,International Journal of Multidisciplinary and Scientific Emerging Research, Vol.4,No.1,(2015).
  • P.A. Ejegwa, S.N.Chukwukelu and D.E.Odoh, Test of Accuracy of Some Distance Measures Use in the Application of Intuitionistic Fuzzy Sets in Medical Diagnosis, Journal of Global Research in Mathematical Archives,Vol.2, No.5, pp.55-60,(2014).
  • P.A. Ejegwa, A.M.Onoja and I.T.Emmanuel, A Note Some Models of Intuitionistic Fuzzy Sets in Real Life Situations,Journal of Global Research in Mathematical Archives,Vol.2, No.5,pp.42-50,(2014).
  • P.A.Ejegwa, A.J.Akubo and O.M.Joshua, Intuitionistic Fuzzy Sets and Its Application in Career Determination via Normalized Euclidean Distance Method, European Scientific Journal,Vol.10, No.15,(2014).
  • P.A.Ejegwa, A.J.Akubo and O.M.Joshua.O.M.,Intuitionistic Fuzzy Sets in Career Determination, Global Journal of Science Frontier Research: F Mathematics and Decision Sciences, Vol.14, No.3,(2014).
  • A.Kaufmann, Introduction to the theory of fuzzy sets, Academic Press, New York,(1975).
  • F.Tuğrul, M.Gezercan and M. Citil, Application of Intuitionistic Fuzzy Set in High School Determination Via Normalized Euclidean Distance Method, Notes on Intuitionistic Fuzzy Sets, Vol.23, No.1,pp.42-47(2017).
There are 14 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Feride Tuğrul

Mehmet Çitil

Sebahattin Balcı This is me

Publication Date January 30, 2019
Submission Date December 27, 2018
Acceptance Date January 17, 2019
Published in Issue Year 2019

Cite

APA Tuğrul, F., Çitil, M., & Balcı, S. (2019). ON THE DETERMINATION STUDENTS’ APTITUDE USING INTUITIONISTIC FUZZY LOGIC. Journal of Universal Mathematics, 2(1), 36-41. https://doi.org/10.33773/jum.503863
AMA Tuğrul F, Çitil M, Balcı S. ON THE DETERMINATION STUDENTS’ APTITUDE USING INTUITIONISTIC FUZZY LOGIC. JUM. January 2019;2(1):36-41. doi:10.33773/jum.503863
Chicago Tuğrul, Feride, Mehmet Çitil, and Sebahattin Balcı. “ON THE DETERMINATION STUDENTS’ APTITUDE USING INTUITIONISTIC FUZZY LOGIC”. Journal of Universal Mathematics 2, no. 1 (January 2019): 36-41. https://doi.org/10.33773/jum.503863.
EndNote Tuğrul F, Çitil M, Balcı S (January 1, 2019) ON THE DETERMINATION STUDENTS’ APTITUDE USING INTUITIONISTIC FUZZY LOGIC. Journal of Universal Mathematics 2 1 36–41.
IEEE F. Tuğrul, M. Çitil, and S. Balcı, “ON THE DETERMINATION STUDENTS’ APTITUDE USING INTUITIONISTIC FUZZY LOGIC”, JUM, vol. 2, no. 1, pp. 36–41, 2019, doi: 10.33773/jum.503863.
ISNAD Tuğrul, Feride et al. “ON THE DETERMINATION STUDENTS’ APTITUDE USING INTUITIONISTIC FUZZY LOGIC”. Journal of Universal Mathematics 2/1 (January 2019), 36-41. https://doi.org/10.33773/jum.503863.
JAMA Tuğrul F, Çitil M, Balcı S. ON THE DETERMINATION STUDENTS’ APTITUDE USING INTUITIONISTIC FUZZY LOGIC. JUM. 2019;2:36–41.
MLA Tuğrul, Feride et al. “ON THE DETERMINATION STUDENTS’ APTITUDE USING INTUITIONISTIC FUZZY LOGIC”. Journal of Universal Mathematics, vol. 2, no. 1, 2019, pp. 36-41, doi:10.33773/jum.503863.
Vancouver Tuğrul F, Çitil M, Balcı S. ON THE DETERMINATION STUDENTS’ APTITUDE USING INTUITIONISTIC FUZZY LOGIC. JUM. 2019;2(1):36-41.