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Issue:Some notes on intuitionistic fuzzy equivalence relations and their use on real data

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Title of paper: Some notes on intuitionistic fuzzy equivalence relations and their use on real data
Author(s):
Alžbeta Michalíková
Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, Banská Bystrica, Slovakia
Mathematical Institute, Slovak Academy of Sciences, Dumbierska 1, Banská Bystrica, Slovakia
krat@bas.bg
Presented at: 25th ICIFS, Sofia, 9—10 September 2022
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 3, pages 306–318
DOI: https://doi.org/10.7546/nifs.2022.28.3.306-318
Download:  PDF (651  Kb, File info)
Abstract: The research presented in this paper is motivated by possibilities of using fuzzy equivalence relations to classify the data into the specific classes. We try to improve these results with the use of intuitionistic fuzzy equivalence relations. We define the basic structures and their properties, which are used in the paper. Then we present the data which we decided to classify and the methods of processing these data. At the end of the paper we discus obtained results and problems which occurred during the processing of the selected data.
Keywords: Intuitionistic fuzzy set, Intuitionistic fuzzy equivalence relation, Classification.
AMS Classification: 03C98, 03E72.
References:
  1. Angelova, M., Roeva, O., & Pencheva, T. (2015). InterCriteria Analysis of crossover and mutation rates relations in simple genetic algorithm. 2015 Federated Conference on Computer Science and Information Systems (FedCSIS), 419–424. IEEE.
  2. Atanassov, K. T. (1983). 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). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1—S6.
  3. Atanassov, K. T. (2017). Intuitionistic Fuzzy Logics. Springer, Cham.
  4. Atanassov, K., Mavrov, D., & Atanassova, V. (2014) Intercriteria Decision Making: A New Approach for Multicriteria Decision Making, Based on Index Matrices and Intuitionistic Fuzzy Sets. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 11, 1–8.
  5. Atanassova, V., Doukovska, L., Michalíková, A., & Radeva, I. (2016). Intercriteria analysis: From pairs to triples. Notes on Intuitionistic Fuzzy Sets, 22(5), 98–110.
  6. Basnet, D. K., & Sarma, N. K. (2010). A note on intuitionistic fuzzy equivalence relation. International Mathematical Forum, 67(5), 3301–3307.
  7. Bureva, V., Michalíková, A., & Sotirova, E., Popov, S., Riecan, B., & Roeva, O. (2017). Application of the InterCriteria Analysis to the universities rankings system in the Slovak Republic. Notes on Instuitionistic Fuzzy Sets, 23(2), 22–23.
  8. Doukovska, L., Atanassova, V., Sotirova, E., Vardeva, I., & Radeva, I. (2019). Defining consonance thresholds in intercriteria analysis: An overview. In: Hadjiski, M., Atanassov, K. (eds) Intuitionistic Fuzziness and Other Intelligent Theories and Their Applications. Studies in Computational Intelligence, Vol. 757, 161–179. Springer, Cham.
  9. Intarapaiboon, P. (2016). Text Classification Using Similarity Measures on Intuitionistic Fuzzy Sets. SCIENCEASIA, 42(1), 52–60.
  10. Krawczak, M., Bureva, V., Sotirova, E., & Szmidt, E. (2016). Application of the InterCriteria decision making method to universities ranking. Novel Developments in Uncertainty Representation and Processing, Advances in Intelligent Systems and Computing, Vol. 401, 365–372. Springer, Cham.
  11. Michalíková, A. (2019). Intuitionistic fuzzy sets and their use in image classification. Notes on Intuitionistic Fuzzy Sets, 25(2), 60–66.
  12. Michalíková, A. (2019). Classification of images by using distance functions defined on intuitionistic fuzzy sets. Advances and New Developments in Fuzzy Logic and Technology. IWIFSGN 2019. Advances in Intelligent Systems and Computing, Vol. 1308, 66–74. Springer, Cham.
  13. Michalíková, A. (2020). Intuitionistic fuzzy negations and their use in image classification. Notes on Intuitionistic Fuzzy Sets, 26(3), 22–32.
  14. Pencheva, T., Angelova, M., Vassilev, P., & Roeva, O. (2016). InterCriteria analysis approach to parameter identification of a fermentation process model. Novel Developments in Uncertainty Representation and Processing, Advances in Intelligent Systems and Computing, Vol. 401, 385–397. Springer, Cham.
  15. Roeva, O., Vassilev, P., Fidanova, S., & Gepner, P. (2015). InterCriteria analysis of a model parameters identification using genetic algorithm. 2015 Federated Conference on Computer Science and Information Systems (FedCSIS) 501–506. IEEE.
  16. Ross, T. J. (2005). Fuzzy Logic with Engineering Applications. John Wiley & Sons.
  17. Sotirov, S., Sotirova, E., Melin, P., Castilo, O., & Atanassov, K. (2016). Modular neural network preprocessing procedure with intuitionistic fuzzy InterCriteria Analysis method. Flexible Query Answering Systems 2015 175–186. Springer, Cham.
  18. Vagac, M., Melichercík, M., Marko, M., Trhan, P., Michalíková, A., Kliment, R., & Drapka, R. (2015). Crawling Images with Web Browser Support. 13th International IEEE Scientific Conference on Informatics’2015, 286–289.
  19. Vagac, M., Melichercík, M., & Schon, J. (2015). Classification of Tire Images in Order to Obtain the Best Possible Tire Tread Sample. The 5th International Scientific Conference, Applied Natural Science 2015, Jasna; Trnava (30.09.2015–02.10.2015), UCM, 173. ´
  20. Vankova, D., Sotirova, E., & Bureva, V. (2015). An application of the InterCriteria Analysis approach to health-related quality of life. Notes on Intuitionistic Fuzzy Sets, 21(5), 40–48.
  21. Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.
  22. Zaharieva, B., Doukovska, L., Ribagin, S., Michalíková, A., & Radeva, I. (2017). InterCriteria Analysis of Behterev's kinesitherapy program. Notes Intuitionistic Fuzzy Sets, 23(3), 69–80.
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