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A Note on Bipolar Soft Supra Topological Spaces

Sadi Bayramov|ÇIĞDEM GÜNDÜZ ARAS|ARZU ERDEM COŞKUN
한국수학교육학회|2023.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제30권 제4호|pp. 357-375|DOI https://doi.org/10.7468/jksmeb.2023.30.4.357

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참고문헌

키워드

bipolar soft supra topological spacebipolar soft supra closurebipolar soft supra interiordisconnected spacestrongly disconnected space.
주제분류수학

초록

In this paper, we present bipolar soft supra topological space and characterize the concepts of bipolar soft supra closure and bipolar soft supra interior. We connect bipolar soft supra topology and bipolar soft topology. We intoduce the concepts of bipolar soft supra continuous mapping and study the concept of bipolar soft supra compact topological space. We prove a result related to the image of the bipolar soft supra compact space. We identify the concepts of disconnected (connected) and strongly disconnected (strongly connected) space and obtain several results connecting among them herein. We clarify the relationships among these concepts by examples.

Abstract

In this paper, we present bipolar soft supra topological space and characterize the concepts of bipolar soft supra closure and bipolar soft supra interior. We connect bipolar soft supra topology and bipolar soft topology. We intoduce the concepts of bipolar soft supra continuous mapping and study the concept of bipolar soft supra compact topological space. We prove a result related to the image of the bipolar soft supra compact space. We identify the concepts of disconnected (connected) and strongly disconnected (strongly connected) space and obtain several results connecting among them herein. We clarify the relationships among these concepts by examples.

참고문헌 (38)

  1. S.E. Abbas, "Intuitionistic supra fuzzy topological spaces", Chaos, Solitons & Fractals, 21(5), pp.1205~1214 (2004), Elsevier BV[DOI]
  2. M.E. Abd-Elmonsef, "On fuzzy supra topological spaces", Indian J. Pure Appl. Math, 18, pp.322~329 (1987)
  3. Mohamed Abo-elhamayel, "SUPRA HOMEOMORPHISM IN SUPRA TOPOLOGICAL ORDERED SPACES", Facta Universitatis, Series: Mathematics and Informatics, 31(5), pp.1091~1106 (2017), University of Nis[DOI]
  4. Ummahan Acar, "Soft sets and soft rings", Computers & Mathematics with Applications, 59(11), pp.3458~3463 (2010), Elsevier BV[DOI]
  5. M. Akram, "Soft intersection Lie algebras", Quasigroups and Related Systems, 21, pp.1~10 (2013)
  6. Tareq M. Al-shami, "Two types of separation axioms on supra soft topological spaces", Demonstratio Mathematica, 52(1), pp.147~165 (2019), Walter de Gruyter GmbH[DOI]
  7. T. M. Al-shami, "On supra soft topological ordered spaces", Arab Journal of Basic and Applied Sciences, 26(1), pp.433~445 (2019), Informa UK Limited[DOI]
  8. Tareq M. Al-shami, "Rough sets models inspired by supra-topology structures", Artificial Intelligence Review, 56(7), pp.6855~6883 (2022), Springer Science and Business Media LLC[DOI]
  9. Tareq Al-shami, "Two New Families of Supra-Soft Topological Spaces Defined by Separation Axioms", Mathematics, 10(23), pp.4488~ (2022), MDPI AG[DOI]
  10. Baravan A. Asaad, "Applications of some operators on supra topological spaces", Demonstratio Mathematica, 53(1), pp.292~308 (2020), Walter de Gruyter GmbH[DOI]
  11. Tareq M. Al-shami, "Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces", Journal of Mathematics, 2021, pp.1~10 (2021), Hindawi Limited[DOI]
  12. José Carlos R. Alcantud, "Caliber and Chain Conditions in Soft Topologies", Mathematics, 9(19), pp.2349~ (2021), MDPI AG[DOI]
  13. S. Bayramov, "Soft locally compact spaces and soft paracompact spaces", J. Math. System Sci, 3, pp.122~130 (2013)
  14. S. Bayramov, "On intuitionistic fuzzy soft topolgical spaces", TWMS J. Pure Appl. Math, 5, pp.66~79 (2014)
  15. Naim Çağman, "Soft topology", Computers & Mathematics with Applications, 62(1), pp.351~358 (2011), Elsevier BV[DOI]
  16. S. A. El-Sheikh, "Decompositions of Some Types of Supra Soft Sets and Soft Continuity", International Journal of Mathematics Trends and Technology, 9(1), pp.37~56 (2014), Seventh Sense Research Group Journals[DOI]
  17. M.E. El-Shafei, "Further notions related to new operators and compactness via supra soft topological spaces", International Journal of Advances in Mathematics, 2019(1), pp.44~60 (2019)
  18. Asmaa Fadel, "Bipolar soft functions", AIMS Mathematics, 6(5), pp.4428~4446 (2021), American Institute of Mathematical Sciences (AIMS)[DOI]
  19. Feng Feng, "Soft semirings", Computers & Mathematics with Applications, 56(10), pp.2621~2628 (2008), Elsevier BV[DOI]
  20. C. Gunduz Aras, "A study on intuitionistic fuzzy soft supra topological spaces", Proc. of the Inst. of Math. and Mech, 44(2), pp.187~197 (2018)
  21. C. Gunduz Aras, "Results of some separation axioms in supra soft topological spaces", TWMS Journal of Applied and Engineering Mathematics, 9(1), pp.3479~3486 (2019)
  22. Aras Gunduz, "Separation axioms in supra soft bitopological spaces", Filomat, 32(10), pp.3479~3486 (2018), National Library of Serbia[DOI]
  23. Cigdem G. Aras, "Local compactness and paracompactness on bipolar soft topological spaces", Journal of Intelligent & Fuzzy Systems, 43(5), pp.6755~6763 (2022), IOS Press[DOI]
  24. C. Gunduz Aras, "On the Tietze extension theorem in soft topological spaces", Proc. of the Inst. of Math. and Mech, 43(1), pp.105~115 (2017)
  25. Sabir Hussain, "Some properties of soft topological spaces", Computers & Mathematics with Applications, 62(11), pp.4058~4067 (2011), Elsevier BV[DOI]
  26. P.K. Maji, "An application of soft sets in a decision making problem", Computers & Mathematics with Applications, 44(8-9), pp.1077~1083 (2002), Elsevier BV[DOI]
  27. P.K. Maji, "Soft set theory", Computers & Mathematics with Applications, 45(4-5), pp.555~562 (2003), Elsevier BV[DOI]
  28. A.S. Mashhour, "On supra topological spaces", Indian J. Pure App. Math, 14(4), pp.502~510 (1983)
  29. Won Keun Min, "A note on soft topological spaces", Computers & Mathematics with Applications, 62(9), pp.3524~3528 (2011), Elsevier BV[DOI]
  30. D. Molodtsov, "Soft set theory-First results", Comput. Math. Appl, 37(4, pp.5) (1999), 19~31
  31. Simge Öztunç, "Categorical structures of soft groups", Soft Computing, 25(4), pp.3059~3064 (2020), Springer Science and Business Media LLC[DOI]
  32. Simge Öztunç, "Some Properties of Soft Categories", International Journal of Modeling and Optimization, 6(2), pp.91~95 (2016), IACSIT Press[DOI]
  33. T.Y. Ozturk, "On bipolar soft points", TWMS J. Appl. Eng. Math, 10(4), pp.877~885 (2020)
  34. "On bipolar soft sets" (2013)[URL]
  35. Muhammad Shabir, "On soft topological spaces", Computers & Mathematics with Applications, 61(7), pp.1786~1799 (2011), Elsevier BV[DOI]
  36. M. Shabir, "Bipolar soft connected, bipolar soft disconnected and bipolar soft compact spaces", Songklanakarin J. Sci. Technol, 39(3), pp.359~371 (2017)
  37. N. Turanl, "An overwiev of intuitionistic fuzzy supra topological spaces", Hacettepe J. of Math. Statistics, 32, pp.17~26 (2003)
  38. I. Zorlutuna, "Remarks on soft topological spaces", Ann. Fuzzy Math. Inform, 3(2), pp.171~185 (2012)

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