Abstract
In continuation of a previous work, where a geometrical interpretation of intuitionistic fuzzy sets was given in the form of a radar chart, here it is proposed the geometrical interpretation of their extension, called interval-valued intuitionistic fuzzy sets. Radar charts, which are useful for representing multivariate data sets, and especially for data from time series. The idea is illustrated by an example with real meteorological data.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Atanassov, K.: Intuitionistic Fuzzy Sets, VII ITKR Session, Sofia, 20–23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84, in Bulgarian) (1983). Reprinted: Int. J. Bioautom. 20(S1), S1–S6 (2016)
Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986)
Atanassov, K.: Geometrical Interpretation of the Elements of the Intuitionistic Fuzzy Objects. Mathematical Foundations of Artificial Intelligence Seminar, Sofia (1989). Preprint IM-MFAIS-1-89. Reprinted: Int J. Bioautom. 20(S1), S27–S42 (2016)
Atanassov, K.: Intuitionistic Fuzzy Sets: Theory and Applications. Springer, Heidelberg (1999)
Atanassov, K., Gargov, G.: Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst. 31(3), 343–349 (1989)
Atanassov, K., Rangasamy, P.: On intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets. Adv. Stud. Contemp. Math. 18(1), 1–8 (2009)
Atanassova, V.: Representation of fuzzy and intuitionistic fuzzy data by radar charts. Notes Intuitionistic Fuzzy Sets 16(1), 21–26 (2010)
Friendly, M.: Statistical graphics for multivariate data. In: SAS SUGI 16 Conference, April 1991. http://www.math.yorku.ca/SCS/sugi/sugi16-paper.html
Mosley, H., Mayer, A.: Benchmarking national labour market performance: a radar chart approach. Report for European Commission, Directorate-General V, Employment, Industrial Relations and Social Affairs (DG V/A2) FS I 99 – 202 (1999). ISSN 1011-9523. http://bibliothek.wzb.eu/pdf/1999/i99-202.pdf
Annual Temperature Data From the National Institute for Meteorology and Hydrology. http://www.stringmeteo.com/synop/temp_year.php
Acknowledgements
The authors are grateful for the support provided by the National Science Fund of Bulgaria under grant DN-02-10/2016.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Atanassova, V., Angelova, N. (2021). Representation of Interval-Valued Intuitionistic Fuzzy Data by Radar Charts. In: Atanassov, K., et al. Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives. IWIFSGN 2018. Advances in Intelligent Systems and Computing, vol 1081. Springer, Cham. https://doi.org/10.1007/978-3-030-47024-1_8
Download citation
DOI: https://doi.org/10.1007/978-3-030-47024-1_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-47023-4
Online ISBN: 978-3-030-47024-1
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)