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A new approach to separation and regularity axioms via fuzzy soft sets

I. M. Taha
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2020.10|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제20권 제2호|pp. 115-123|DOI 10.30948/afmi.2020.20.2.115

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참고문헌

키워드

Fuzzy soft setFuzzy soft topologySoft quasi-coincidenceFuzzy soft $R_i$ spacesFuzzy soft $T_i$ spaces

초록

In the present work, a new form of separation and regularity axioms via fuzzy soft sets are introduced in a fuzzy soft topological space based on the sense of Aygünovglu. Also, these axioms are introduced by using soft quasi-coincidence and some interesting properties of them are specified. Moreover, the relations of these axioms with each other are investigated with the help of examples.

Abstract

In the present work, a new form of separation and regularity axioms via fuzzy soft sets are introduced in a fuzzy soft topological space based on the sense of Aygünovglu. Also, these axioms are introduced by using soft quasi-coincidence and some interesting properties of them are specified. Moreover, the relations of these axioms with each other are investigated with the help of examples.

참고문헌 (25)

  1. B. Ahmad, "On Fuzzy Soft Sets", Advances in Fuzzy Systems (2009)
  2. H. Aktas, "Soft sets and soft groups", Inform. Sci, 177(13), pp.2726~2735 (2007)
  3. S. Atmaca, "On fuzzy soft topological spaces", Annals of Fuzzy Mathematics and Informatics, 5(2), pp.377~386 (2013)
  4. A. Aygunoglu, "Introduction to fuzzy soft groups", Computers and Mathematics with Applications, 58, pp.1279~1286 (2009)
  5. A. Aygunoglu, "An introduction to fuzzy soft topological spaces", Hacettepe Journal of Mathematics and Statistics, 43(2), pp.193~204 (2014)
  6. N. Cag man, "Fuzzy soft set theory and its applications", Iranian Journal of Fuzzy Systems, 8(3), pp.137~147 (2011)
  7. V. Cetkin, "Fuzzy soft semiregularization spaces", Ann. Fuzzy Math. Inform, 7(4), pp.687~697 (2014)
  8. D. N. Georgiou, "On Soft Topological Spaces", Applied Mathematics and Information Sciences, 7(2), pp.1889~1901 (2013)
  9. S. Hussain, "Soft separation axioms in soft topological spaces", Hacettepe Journal of Mathematics and Statistics, 44(3), pp.559~568 (2015)
  10. Y. B. Jun, "Soft BCK", BCI-algebras, 2008, pp.56(5), 1408~1413
  11. A. Kharal, "Mappings on Fuzzy Soft Classes", Advances in Fuzzy Systems (2009)
  12. G. J. Klir, "Fuzzy sets and fuzzy logic, Theory and Applications" (1995), Prentice-Hall
  13. P. K. Maji, "Fuzzy soft sets", Journal of fuzzy Mathematics, 9(3), pp.589~602 (2001)
  14. S. Mishar, "Hausdorff fuzzy soft topological spaces", Ann. Fuzzy Math. Inform, 9(2), pp.247~260 (2015)
  15. D. Molodtsov, "Soft set theory-First results", Computers Mathematics with Applications, 37(4, pp.5) (1999), 19~31
  16. A. R. Roy, "A fuzzy soft set theoretic approach to decision making problems", Journal of Computational and Applied Mathematics, 203, pp.412~418 (2007)
  17. G. Senel, "A New Approach to Hausdorff Space Theory via the Soft Sets", Mathematical Problems in Engineering, 9 (2016)
  18. G. Senel, "A Comparative Research on the Definition of Soft Point", International Journal of Computer Applications, 163(2) (2017)[DOI]
  19. G. Senel, "The Parameterization Reduction of Soft Point and its Applications with Soft Matrix", International Journal of Computer Applications, 164(1) (2017)[DOI]
  20. G. Senel, "Analyzing the Locus of Soft Spheres : Illustrative Cases and Drawings", European Journal of Pure and Applied Mathematics, 11(4), pp.946~957 (2018)[DOI]
  21. M. Shabir, "On Soft Topological Spaces", Computers and Mathematics with Applications, 61, pp.1786~1799 (2011)
  22. A. P. Sostak, "On a fuzzy topological structure", Suppl. Rend. Circ. Matem. Palerms ser II, 11, pp.89~103 (1985)
  23. B. P. Varol, "Fuzzy soft topology", Hacettepe Journal of Mathematics and Statistics, 41(3), pp.407~419 (2012)
  24. B. P. Varol, "On soft Hausdorff spaces", Ann. Fuzzy Math. Inform, 5(1), pp.15~24 (2013)
  25. L. A. Zadeh, "Fuzzy Sets", Information and Control, 8, pp.338~353 (1965)

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