Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 71 Issue: 3

Soft semi-topological polygroups

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Publication Date
2022-09-30
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AI Summary & Key Takeaways

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

We offer different definitions for soft topological polygroups and eliminate the inverse function continuity condition to have more freedom of action.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:By removing the condition that the inverse function is continuous in soft topological polygroups, we will have less constraint to obtain the results.
📊
Key Findings & Data:By removing the condition that the inverse function is continuous in soft topological polygroups, we will have less constraint to obtain the results.
💡
Conclusion & Impact:We offer different definitions for soft topological polygroups and eliminate the inverse function continuity condition to have more freedom of action.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Soft sets · polygroups · soft polygroups

Abstract

By removing the condition that the inverse function is continuous in soft topological polygroups, we will have less constraint to obtain the results. We offer different definitions for soft topological polygroups and eliminate the inverse function continuity condition to have more freedom of action.

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Cite This Article

Mousarezaei, R., Davvaz, B. (2022). Soft semi-topological polygroups. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 3. https://doi.org/10.31801/cfsuasmas.997442

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References (27)

  1. Aktas, H., Cagman, N., Soft sets and soft groups, Information Sciences, 77(13) (2007), 2726-2735. https://doi.org/10.1016/j.ins.2006.12.008
  2. Aygunoglu, A., Aygun, H., Some notes on soft topological spaces, Neural Comput. & Applic., 21(1) (2012), 113-119. https://doi.org/10.1007/s00521-011-0722-3
  3. Babitha, K.V., Sunil, J.J., Soft set relations and functions, Comput. Math. Appl., 60(7) (2010), 1840-1849. https://doi.org/10.1016/j.camwa.2010.07.014
  4. Cagman, N., Karatas, S., Enginoglu, S., Soft topology, Comput. Math. Appl., 62(1) (2011), 351-358. https://doi.org/10.1016/j.camwa.2011.05.016
  5. Corsini, P., Prolegomena of Hypergroup Theory, Aviani Editore, Tricesimo, Italy, 1993.
  6. Comer, S.D., Extension of polygroups by polygroups and their representations using color schemes, Universal algebra and lattice theory (Puebla, 1982), 91–103, Lecture Notes in Math., 1004, Springer, Berlin, 1983. https://doi.org/10.1007/BFb0063431
  7. Davvaz, B., Polygroup Theory and Related Systems,World Scientific Publishing Co. Pte.Ltd., Hackensack, NJ, 2013. https://doi.org/10.1142/8593
  8. Feng, F., Li, Y.M., Soft subsets and soft product operations, Information Sciences, 232 (2013), 44-57. https://doi.org/10.1016/j.ins.2013.01.001
  9. Heidari, D., Davvaz, B., Modarres, S.M.S., Topological polygroups, Bull. Malays. Math. Sci. Soc., 39 (2016), 707-721. https://doi.org/10.1007/s40840-015-0136-y
  10. Hewitt, E., Ross, K.A., Abstract Harmonic Analysis, vol. 1, Springer Verlag, Berlin, 1963.
  11. Hida, T., Soft topological group, Annals Fuzzy Mathematics and Informatics, 8(6) (2014), 1001-1025.
  12. Hoskova-Mayerova, S., Topological hypergroupoids, Comput. Math. Appl., 64(9) (2012), 2845-2849. https://doi.org/10.1016/j.camwa.2012.04.017
  13. Kharal, A., Ahmad, B., Mappings on soft classes, New Math Nat. Comput., 7(3) (2011), 471-481. https://doi.org/10.1142/S1793005711002025
  14. Koskas, M., Groupoides, demi-hypergroupes et hypergroupes, J. Math. Pures Appl., 49(9) (1970), 155-192.
  15. Maji, P.K., Biswas, R., Roy, A.R., Soft set theory, Comput. Math. Appl. 45(4-5) (2003), 555-562. https://doi.org/10.1016/S0898-1221(03)00016-6
  16. Marty, F., Sur une g´en´eralization de la notion de groupe, 8iem, Congress Math. Scandinaves, Stockholm, (1934) 45-49.
  17. Molodtsov, D., Soft set Theory-First Results, Comput. Math. Appl., 37 (1999), 19-31. https://doi.org/10.1016/S0898-1221(99)00056-5
  18. Mousarezaei, R., Davvaz, B., On soft topological polygroups and their examples, International Journal of Fuzzy Logic and Intelligent Systems, 21(1) (2021), 29-37. http://doi.org/10.5391/IJFIS.2021.21.1.29
  19. Nazmul, S., Samanta, S.K., Group soft topology, J. Fuzzy Math., 22(2) (2014), 435-450.
  20. Nazmul, S., Samanta, S.K., Neighbourhood properties of soft topological spaces, Annals Fuzzy Mathematics and Informatics, 6(1) (2013), 1-15.
  21. Nazmul, S., Samanta, S.K., Soft topological soft groups, Mathematical Sciences, 6 (2012) 1-10. https://doi.org/10.1186/2251-7456-6-66
  22. Oguz, G., A new view on topological polygroups, Turkish Journal of Science, 5(2) (2020), 110-117.
  23. Oguz, G., Idealistic soft topological hyperrings, Scientific Inquiry and Review, 4(3) (2020), 61-70.
  24. Oguz, G., On soft topological hypergroups, Journal of Hyperstructures, 9(2) (2021), 81-95.
  25. Oguz, G., Davvaz, B., Soft topological hyperstructure, Journal of Intelligent and Fuzzy Systems, 40(5) (2021), 8755-8764. https://doi.org/10.3233/JIFS-200242
  26. Shabir, M., Naz, M., On soft topological spaces, Comput. Math. Appl., 61(7) (2011), 1786-1799. https://doi.org/10.1016/j.camwa.2011.02.006
  27. Shah, T., Shaheen, S., Soft topological groups and rings, Annals Fuzzy Mathematics and Informatics, 7(5) (2014), 725-743.