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Issue:Application of interval-valued intuitionistic fuzzy sets of second type in pattern recognition: Difference between revisions

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  | issue          = [[Notes on Intuitionistic Fuzzy Sets/24/1|Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1]], pages 80–86
  | issue          = [[Notes on Intuitionistic Fuzzy Sets/24/1|Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1]], pages 80–86
| doi            = https://doi.org/10.7546/nifs.2018.24.1.80-86
  | file            = NIFS-24-1-080-086.pdf
  | file            = NIFS-24-1-080-086.pdf
  | format          = PDF
  | format          = PDF
  | size            = 161 Kb
  | size            = 161
  | abstract        = After the introduction of intuitionistic fuzzy sets (IFS), many researchers have confirmed the resourcefulness of IFSs in decision making problems like pattern recognition, machine learning, medical diagnosis, electoral system, career determination, market prediction, and so on. In this paper, we propose the new distance measures on interval-valued Intuitionistic Fuzzy Sets of Second Type and the application of interval-valued Intuitionistic Fuzzy Sets of Second Type in Pattern Recognition by using normalized hamming distance measure and compare the result with the existing IVIFS.
  | abstract        = After the introduction of intuitionistic fuzzy sets (IFS), many researchers have confirmed the resourcefulness of IFSs in decision making problems like pattern recognition, machine learning, medical diagnosis, electoral system, career determination, market prediction, and so on. In this paper, we propose the new distance measures on interval-valued Intuitionistic Fuzzy Sets of Second Type and the application of interval-valued Intuitionistic Fuzzy Sets of Second Type in Pattern Recognition by using normalized hamming distance measure and compare the result with the existing IVIFS.
  | keywords        = Intuitionistic fuzzy sets, Intuitionistic fuzzy sets of second type, Interval-valued intuitionistic fuzzy sets, Interval-valued intuitionistic fuzzy sets of second type.
  | keywords        = Intuitionistic fuzzy sets, Intuitionistic fuzzy sets of second type, Interval-valued intuitionistic fuzzy sets, Interval-valued intuitionistic fuzzy sets of second type.

Latest revision as of 12:32, 18 December 2024

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http://ifigenia.org/wiki/issue:nifs/24/1/80-86
Title of paper: Application of interval-valued intuitionistic fuzzy sets of second type in pattern recognition
Author(s):
K. Rajesh
Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi-635752, India
rajeshagm@gmail.com
R. Srinivasan
Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi-635752, India
srinivasanmaths@yahoo.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1, pages 80–86
DOI: https://doi.org/10.7546/nifs.2018.24.1.80-86
Download:  PDF (161  Kb, File info)
Abstract: After the introduction of intuitionistic fuzzy sets (IFS), many researchers have confirmed the resourcefulness of IFSs in decision making problems like pattern recognition, machine learning, medical diagnosis, electoral system, career determination, market prediction, and so on. In this paper, we propose the new distance measures on interval-valued Intuitionistic Fuzzy Sets of Second Type and the application of interval-valued Intuitionistic Fuzzy Sets of Second Type in Pattern Recognition by using normalized hamming distance measure and compare the result with the existing IVIFS.
Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy sets of second type, Interval-valued intuitionistic fuzzy sets, Interval-valued intuitionistic fuzzy sets of second type.
AMS Classification: 03B20, 03D45, 03E72, 03F55.
References:
  1. Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
  2. Atanassov, K. T. & Gargov, G. (1989) Interval-Valued Fuzzy Sets, Fuzzy Sets and Systems, 31, 343–349.
  3. Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer Verlag, Heidelberg.
  4. Ejegwa, P. A., Onoja, A. M., & Emmanuel, I. T. (2010) A Note on Some Models of Intuitionistic Fuzzy Sets in Real Life Situations, Journal of Global Research in Mathematical Archives, 2(5), 42–50.
  5. Ejegwa, P. A., Akubo, A. J. & Joshua, O. M. (2014) Intuitionistic fuzzy set and its application in career determination via normalized Euclidean distance method, European Scientific Journal, 10(15), 529–536.
  6. Rajesh, K., & Srinivasan, R. (2017) Interval-valued Intuitionistic Fuzzy Sets of Second Type, Advances in Fuzzy Mathematics, 12(4), 845–853.
  7. Szmidt, E., & Kacprzyk, J. (2001) Intuitionistic fuzzy sets in intelligent data analysis for medical diagnostic, Lecture Notes in Computer Science, 2074, 263–271.
  8. Szmidt, E., & Kacprzyk, J. (2001) Intuitionistic fuzzy sets in some medical applications, Notes on Intuitionistic Fuzzy Sets, 7(4), 58–64.
  9. Zadeh, L. A. (1965) Fuzzy sets, Information and Control, 8, 338–353.
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