ISSN 2456-0235

​​​​​​​January 2019, Vol. 4, No 1, pp 9-18. 

​​Characterization of Fuzzy Soft Sets in Topological Spaces

B. Okelo*
School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology,

P. O. Box 210-40601, Bondo-Kenya.
​​*Corresponding author’s e-mail: bnyaare@yahoo.com

Abstract

In the present paper, we give a detailed study of soft fuzzy sets in topological spaces. We study some aspects like separability, connectedness, their generalizations and relationships between them.

Keywords: Fuzzy set; Characterization; Generalized fuzzy soft connected sets; Topological space.

References

  1. ​Andrijevic D. On b-open sets. Mat Vesnik 1996;48: 9-64.
  2. Brooks F. Indefinite cut sets for real functions. Amer Math Monthly 1971;78: 1007-10.
  3. Change CL.  Fuzzy topological spaces. J Math Anal Appl 1968;24:182-190.
  4. Chinnadurai V, Bharathivelan K. Cubic Ideals in Near Subtraction Semigroups. Int J Mod Sci Technol 2016;1(8):276-82.
  5. Davis A. Indexed systems of neighborhoods for general topological spaces. Amer Math Monthly 1961;68(9):886-93.
  6. Dunham W. Weakly Hausdorff spaces. Kyungpook Math J 1975;15(1):41-50.
  7. Ekici E. On contra-continuity. Ann Univ Sci Bodapest 2004;47:127-37.
  8. Ekici E. New forms of contra-continuity. Carpathian J Math 2008;24(1):37-45.
  9. Katˇetov M. On real-valued functions in topological spaces. Fund Math 1951;38: 85-91.
  10. Lane E. Insertion of a continuous function. Pacific J Math 1976;66:181-90.
  11. Maheshwari SN, Prasad R. On ROs-spaces. Portugal Math 1975;34:213-217.
  12. Maji PK, Biswas R, Roy PR. Fuzzy soft sets. J Fuzzy Math 2009;9:589-602.
  13. Okelo NB. On characterization of various finite subgroups of Abelian groups. Int J Mod Comp Info and Com Technol 2018;1(5):93-8.
  14. Saha S. Local connectedness in fuzzy setting. Simon Stevin 1987;61:3-13.  
  15. Shabir M, NazM. On soft topological spaces. Comput Math Appl 2011;61:1786-99.
  16. Stone M. Application of Boolean algebras to topology. Mat Sb 1936; 1: 765-771.
  17. Vijayabalaji S, Sathiyaseelan N. IntervalValued Product Fuzzy Soft Matrices and its Application in Decision Making. Int J Mod Sci Technol 2016;1(7):159-63.

International Journal of Modern Science and Technology

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