Fuzzy soft separation axioms in fuzzy soft topological spaces.

  • Mohammed Saleh Malfi Assiut University, Assiut, Eygpt.
  • F.H. Khedr Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516
  • M. A. Abd Allah Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516
Keywords: Fuzzy set, soft set; fuzzy soft set, fuzzy soft topology, fuzzy soft separation axioms; fuzzy soft T_i-spaces (i=0,1,2), fuzzy soft regular; fuzzy soft normal, fuzzy soft topological property.

Abstract

Fuzzy soft separation axioms was introduced by Mahanta and Das ([5]) using the definitions of a `fuzzy soft point' and `the complement of a fuzzy soft point is a fuzzy soft point', and `distinct of fuzzy soft points' in there sense.  In this paper we, introduce fuzzy soft separation axioms in terms of the modified definitions of a `fuzzy soft point', the complement of a fuzzy soft point is a fuzzy soft set' and `distinct of fuzzy soft points'([7]). Also, we study some of their properties. Finally, we discuss fuzzy soft topological property for such spaces.                                                           

References

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Published
2019-10-23
How to Cite
Malfi, M., Khedr, F., & Allah, M. A. (2019). Fuzzy soft separation axioms in fuzzy soft topological spaces. Journal of Progressive Research in Mathematics, 15(3), 2668-2681. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1778
Section
Articles