| Title of paper:
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n-Dimensional intuitionistic fuzzy index matrix representation of multidimensional data partitioning methods
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| Author(s):
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| Veselina Bureva
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| Laboratory of Intelligent Systems, "Prof. Dr. Asen Zlatarov" University, 1 Prof. Yakimov Blvd., 8010 Burgas, Bulgaria
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| vbureva@btu.bg
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| Krassimir Atanassov
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Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
Laboratory of Intelligent Systems, "Prof. Dr. Asen Zlatarov" University, 1 Prof. Yakimov Blvd., 8010 Burgas, Bulgaria
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| krat@bas.bg
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| Presented at:
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Proceedings of the International Workshop on Intuitionistic Fuzzy Sets, 15 December 2023, Banská Bystrica, Slovakia
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 4, pages 411–417
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| DOI:
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https://doi.org/10.7546/nifs.2023.29.4.411-417
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| Download:
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 PDF (854 Kb, File info)
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| Abstract:
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In the present research paper, the data partitioning operations are investigated. Their functionalities are discussed. n-Dimensional intuitionistic fuzzy index matrix is used to represent the multidimensional data partitioning. Attributes selection and values selection by predicates is presented.
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| Keywords:
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Big data, Intuitionistic fuzzy index matrix, OLAP.
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| AMS Classification:
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03E72.
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| References:
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- Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Studies in Computational Intelligence Series, Vol. 573, Springer, Cham.
- Atanassov, K. (2017). On Intuitionistic Fuzzy Logics. Springer, Cham.
- Atanassov, K. (2018). n-Dimensional extended index matrices. Advanced Studies in Contemporary Mathematics, 28(2), 245–259.
- Atanassov, K., & Bureva, V. (2020). Operations over 3-Dimensional Extended Intuitionistic Fuzzy Index Matrices. Advanced Studies in Contemporary Mathematics, 30(3), 335–356.
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
- Bureva, V., Sotirov, S., Sotirova, E., & Atanassov, K. (2021). Index Matrix Representation of MapReduce Algorithm. Proceedings of 2021 Big Data, Knowledge and Control Systems Engineering (BdKCSE), Sofia, Bulgaria, 1–4, doi: 10.1109/BdKCSE53180.2021.9627306.
- Bureva, V., Traneva, V., Sotirova, E., & Atanassov, K. (2017). Index Matrices And OLAP-Cube Part 2: An presentation of the OLAP-analysis by Index Matrices. Advanced Studies in Contemporary Mathematics, 27(4), 647–672.
- Bureva, V., Traneva, V., Sotirova, E., & Atanassov, K. (2019). Index Matrices and OLAP cube. Part 4: A Presentation of the OLAP Drill Across Operation by Index Matrices. Advanced Studies in Contemporary Mathematics, 29(1), 109–123.
- Bureva, V., Traneva, V., Sotirova, E., & Atanassov, K. (2019). Index Matrices and OLAP cube. Part 5: Index Matrix Operations over OLAP cube. Advanced Studies in Contemporary Mathematics, 30(1), 69–88.
- Traneva, V., Bureva, V., Sotirova, E., & Atanassov, K. (2017). Index Matrices And OLAP-Cube Part 1: Application of the Index Matrices to presentation of operations in OLAP-Cube. Advanced Studies in Contemporary Mathematics, 27(2), 253–278.
- Traneva, V., Bureva, V., Sotirova, E., & Atanassov, K. (2018). Index matrices and OLAP-cube. Part 3: A presentation of the OLAP “InterCube Set” and “Data
cube” operations by index matrices. Advanced Studies in Contemporary Mathematics (Kyungshang), 28(3), 423–448
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