본문 바로가기
KERD
논문KCI 등재

On some lower soft separation axioms

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

초록

The main aim of this paper, is to introduce and study some new weak soft separation axioms in soft spaces by using the notions of soft $\alpha $-open sets and soft $\alpha$-closure. We investigate some of their properties. Some nice results and relations are obtained with some necessary examples.

Abstract

The main aim of this paper, is to introduce and study some new weak soft separation axioms in soft spaces by using the notions of soft $\alpha $-open sets and soft $\alpha$-closure. We investigate some of their properties. Some nice results and relations are obtained with some necessary examples.

참고문헌 (33)

  1. A. I. Ali, "On some new operations in soft set theory", Comput. Math. Appl, 57, pp.1547~1553 (2009)
  2. Tareq Mohammed Al-shami, "Corrigendum to "On Soft Topological Space via Semi-open and Semi-closed Soft Sets, Kyungpook Mathematical Journal, 54(2014), 221-236"", Kyungpook Mathematical Journal, 58(3), pp.583~588 (2018), 경북대학교 자연과학대학 수학과
  3. T. M. Al-shami, "Corrigendum to "Separation axioms on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 11 (4) (2016) 511- 525"", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 15(3), pp.309~312 (2018), 기초자연과학연구소[DOI]
  4. M. Akdag, "Soft α-open sets and soft α-continuous functions", Abstract and analysis applied, pp.7~ (2014)
  5. M. Akdag, "On soft preopen sets and soft pre separation axioms", Gazi Univ. J. of Science, 24(4), pp.1077~1083 (2014)
  6. L. Arokia, "On soft β-separation axioms", Int. J. Math. Archive, 1(5) (2013)
  7. M. Aygunoglu, "Some notes on soft topological spaces", Neural Comput. Appl, 21(1), pp.113~119 (2013)
  8. N. Cagman, "Soft topology", Comput. Math. Appl, 62, pp.351~358 (2011)
  9. M. Caldas, "Characterizations of low separation axioms via α-open sets and α-closure operator", Bol. Soc. Paran. Math, 21(1, 2), pp.1~14 (2003)
  10. B. Chen, "Soft semi-open sets and related properties in soft topological spaces", Appl. Math. Inform. Sci, 7, pp.287~294 (2013)
  11. M. E. El-Shafei, "Two notes on ``On soft Hausdorff spaces"", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 16(3), pp.333~336 (2018), 기초자연과학연구소[DOI]
  12. M. E. El-Shafei, "Partial soft separation axioms and soft compact spaces", Filomat, 32(13), pp.4755~4771 (2018)
  13. D. N. Georgiou, "Soft set theory and topology", Appl. Gen. Topol, 15(1), pp.93~109 (2014)
  14. O. Gocur, "Some new properties on soft separation axioms", Ann. Fuzzy Math. Inform, 9(3), pp.421~425 (2015)
  15. S. Hussain, "Soft separation axioms in soft topological spaces", Hacettepe J. Math. Statistics, 44(3), pp.559~568 (2015)
  16. S. Hussain, "Some properties of soft topological spaces", Neural. Comput. And Appl., 62, pp.4058~4063 (2011)
  17. A. Kandil, "γ-operations and decompositions of some forms of soft continuity of soft topological spaces", Ann. Fuzzy Math. Inform., 7, pp.181~196 (2014)
  18. A. Kandil, "Soft semi separation axioms and irresolute soft functions", Ann. Fuzzy Math. Inform, 8(2), pp.305~318 (2014)
  19. A. Kandil, "Soft regularity and normality based on semi-open soft sets and soft ideals", Appl. Math. Inf. Sci. Lett., (3), pp.47~55 (2015)
  20. A. M. Khattak, "Characterizations of soft α-separation axioms and soft β-separation axioms in soft single point spaces and in soft ordinary spaces", Jou. of new theory, 19, pp.63~81 (2017)
  21. Juthika Mahanta, "On Soft Topological Space via Semiopen and Semiclosed Soft Sets", Kyungpook Mathematical Journal, 54(2), pp.221~236 (2014), 경북대학교 자연과학대학 수학과[DOI]
  22. P. K. Maji, "Soft set theory", Comput. Math. Appl, 45, pp.555~562 (2003)
  23. W. K. Min, "A note on soft topological spaces", Comput. Math. Appl, 62, pp.3524~3528 (2011)
  24. D. Molodtsov, "Soft set theory first results", Comput. Math. Appl, 37, pp.19~31 (1999)
  25. S. Saleh, "Some new properties on soft topological spaces", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 17(3), pp.303~312 (2019), 기초자연과학연구소[DOI]
  26. G. Senel, "A new approach to Hausdorff space theory via the soft sets", Math. Problems in Engin, 9, pp.6~ (2016)[DOI]
  27. M. Shabir, "On soft topological spaces", Comput. Math. Appl, 61, pp.1786~1799 (2011)
  28. J. Subhashini, "Local properties of soft P-open and soft P-closed sets", Proceedings of National Conference on Discrete Mathematic and Optimization Techniques, pp.89~100 (2014)
  29. O. Tantawy, "Separation axioms on soft topological spaces", Ann. Fuzzy Math. Inform, 11(4), pp.511~525 (2016)
  30. M. Terepeta, "On separating axioms and similarity of soft topological spaces", Soft Comput, 23, pp.1049~1057 (2019)
  31. B. P. Varol, "On soft Hausdorff spaces", Ann. Fuzzy Math. Inform, 5(1), pp.15~24 (2013)
  32. Y. Yumak, "Soft β-open sets and their applications", Journal of New Theory, 4, pp.80~89 (2015)
  33. I. Zorlutuna, "Remarks on soft topological spaces", Ann. Fuzzy Math. Inform, 3(2), pp.171~185 (2011)

관련 논문AI추천

이 간행물의 다른 논문 (6건)