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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 2

A Minimal Family of Sub-bases

Yiliang Li
Jinjin Li
Yidong Lin
Jun-e Feng
Hongkun Wang
Pages
793–807
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, experiments are conducted to illustrate the effectiveness of the proposed approach.

📌 3 Key Takeaways

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Objective & Hypothesis:This paper investigates a minimal family of sub-bases.
📊
Key Findings & Data:First, the concept of a minimal family of sub-bases is presented and its properties are studied.
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Conclusion & Impact:Finally, experiments are conducted to illustrate the effectiveness of the proposed approach.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:a minimal family of sub-bases · Boolean matrix · covering information systems

Abstract

This paper investigates a minimal family of sub-bases. First, the concept of a minimal family of sub-bases is presented and its properties are studied. Then the relationship between reducts in covering information systems and minimal families of sub-bases is discussed. Based on Boolean matrices, an approach is provided to derive a minimal family of sub-bases. Finally, experiments are conducted to illustrate the effectiveness of the proposed approach.

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Cite This Article

Li, Y., Li, J., Lin, Y., Feng, J., Wang, H. (2022). A Minimal Family of Sub-bases. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 2, 793–807. https://ajindex.com/articles/529593

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References (18)

  1. R. Engelking, General Topology, Heldermann Verlag, Berlin, 1989
  2. J.M. Graymala-Busse, Algebraic properties of knowledge representation systems, in: Proceedings of the ACM SIGART international symposium on Methodologies for intelligent systems, ACM, 432-440, 1986
  3. G.M. Lang, Q.G. Li and L.K. Guo, Homomorphisms-based attribute reduction of dynamic fuzzy covering information systems, Int. J. Gen. Syst. 44 (7-8), 791-811, 2015
  4. J.J. Li, K.D. Li and S. Lin, Introduction of Basic Topology, Science Press, Beijing, 2009 (in Chinese)
  5. D.Y. Li and Y.C. Ma, Invariant characters of information systems under some homomorphisms, Inf. Sci. 129 (1-4), 211-220, 2000
  6. J.J. Li and Y.L. Zhang, Reduction of subbases and its applications, Utilitas Math. 82 (3), 179-192, 2010
  7. Z. Pawlak, Rough sets, Int. J. Comput. Inf. Sci. 11 (5), 341-356, 1982
  8. T. Speer, A short study of Alexandroff spaces, at http://arxiv.org/abs/0708.2136, 2007
  9. A.H. Tan, J.J. Li and G.P. Lin, Extended results on the relationship between information systems, Inf. Sci. 290, 156-173, 2015
  10. A.H. Tan, J.J. Li and G.P. Lin and Y.J. Lin, Fast approach to knowledge acquistion in covering information systems using matrix operations, Knowl.-Based Syst. 79, 90-98, 2015
  11. A.H. Tan, J.J. Li, Y.J. Lin and G.P. Lin, Matrix-based set approximations and reductions in covering decision information systems, Int. J. Approx. Reason. 59, 68-80, 2015
  12. E.C.C. Tsang, C.Z. Wang, D.G. Chen, C.X. Wu and Q.H. Hu, Communication between information systems using fuzzy rough sets, IEEE Trans. Fuzzy syst. 21 (3), 527-540, 2013
  13. C.Z. Wang, W.Y. Bao, X.X. Wang and Q. He, A mapping between fuzzy covering information systems, Proc. 2013 IEEE International Conference on Granular Computing, 315-319
  14. C.Z.Wang, D.G. Chen and Q.H. Hu, Some invariant properties of ordered information systems under homomorphism, Sci. China: Inf. Sci. 53 (9), 1816-1825, 2010
  15. C.Z. Wang, D.G. Chen and Q.H. Hu, Fuzzy information systems and their homomorphisms, Fuzzy Sets Syst. 249, 128-138, 2014
  16. C.Z. Wang, D.G. Chen, B.Q. Sun and Q.H. Hu, Communication between information systems with covering based rough sets, Inf. Sci. 216, 17-33, 2012
  17. C.Z. Wang, D.G. Chen, C. Wu and Q.H. Hu, Data compression with homomorphism in covering information systems, Int. J. Approx. Reason. 52 (4), 519-525, 2011
  18. C.Z. Wang, D.G. Chen and L.K. Zhu, Homomorphisms between fuzzy information systems, Appl. Math. Le