본문 바로가기
KERD
논문KCI 등재

Initial fuzzy soft closure structures

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

초록

In this paper, we introduce the notions of fuzzy soft interior spaces and fuzzy soft closure spaces. In particular, we prove the existence of initial fuzzy soft interior structures and initial fuzzy soft closure structures. From this fact, the category FSC is a topological category over SET.

Abstract

In this paper, we introduce the notions of fuzzy soft interior spaces and fuzzy soft closure spaces. In particular, we prove the existence of initial fuzzy soft interior structures and initial fuzzy soft closure structures. From this fact, the category FSC is a topological category over SET.

참고문헌 (21)

  1. S. E. Abbas, "On fuzzy soft irresolute functions", J. of Fuzzy Mathematics, 24(2), pp.465~482 (2016)
  2. S. E. Abbas, "Connectedness in Fuzzy Soft Topological Spaces", Bulletin of the Brazilian Mathematical Society, New Series, 50(3), pp.587~601 (2019), Springer Science and Business Media LLC[DOI]
  3. A. Abdulkadir, "An introduction to fuzzy soft topological spaces", Hacettepe Journal of Mathematics and Statistics, 43(2), pp.193~204 (2014)
  4. B. Ahmed, "On fuzzy soft sets", Advances in Fuzzy Systems (2009)
  5. A. Aygunoglu, "Introduction to fuzzy soft groups", Comput. Math. Appl, 58, pp.1279~1286 (2009)
  6. C. L. Chang, "Fuzzy topological spaces", J. Math. Anal. Appl, 24(1), pp.182~190 (1968)
  7. F. Feng, "Soft semi rings", Comput. Math. Appl, 56(10), pp.2621~2628 (2008)
  8. C. Gunduz, "Some results on fuzzy soft topological spaces", Mathematical Problems in Engineering (2013)
  9. A. Kharal, "Mappings on fuzzy soft classes", Advances in Fuzzy Systems (2009)
  10. B. K. Maji, "Fuzzy soft sets", J. of Fuzzy Mathematics, 9(3), pp.689~602 (2001)
  11. P. K. Maji, "An application of soft sets in a decision making problem", Comput. Math. Appl, 44(8-9), pp.1077~1083 (2002)
  12. D. A. Molodtsov, "Soft set theory-first results", Comput. Math. Appl, 37(4-5), pp.19~31 (1999)
  13. A. R. Roy, "A fuzzy soft set theoretic approach to decision making problems", Comput. Appl. Math, 203, pp.412~418 (2007)
  14. G. Senel, "A New Approach to Hausdor Space Theory via the Soft Sets", Mathematical Problems in Engineering, 9 (2016)[DOI]
  15. G. Senel, "A Comparative Research on the Definition of Soft Point", International Journal of Computer Applications, 163(2) (2017)
  16. Guzide Senel, "The Parameterization Reduction of Soft Point and its Applications with Soft Matrix", International Journal of Computer Applications, 164(1), pp.1~6 (2017), Foundation of Computer Science[DOI]
  17. G. Senel, "New Soft Metric Applications", J. of Fuzzy Mathematics, 25(1), pp.1~12 (2017)
  18. M. Shabir, "On soft topological spaces", Comput. Math. Appl, 61(7), pp.1786~1799 (2011)
  19. A. P.  Sostak, "On a fuzzy topological structure", Suppl Rend. Circ. Math. Palermo Ser. II, 11, pp.89~103 (1985)
  20. B. Tanay, "Topological structure of fuzzy soft sets", Comput. Math. Appl, 61(10), pp.2952~2957 (2011)
  21. B. Pazar Varol, "Fuzzy soft topology", Hacettepe Journal of Mathematics and Statistics, 41(3), pp.407~419 (2012)

관련 논문AI추천

이 간행물의 다른 논문 (6건)