An (r,s)-derived sets and double fuzzy closure operators

  • Published : 2008.03.01


In this paper, we introduce the concept of fuzzy (r, s)-adherence points, fuzzy (r, s)-accumulation points and fuzzy (r, s)-derived sets in double fuzzy topology. We investigate some of their properties. The relationship with double fuzzy closure operator was studied.



  1. Atanassove K.; Intuitionistic fuzzy sets, Fuzzy sets ad systems 20(1984), 87-90
  2. Atanassove K.; New operators defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(2)(1993) 131-142
  3. Atanassove K.,Stoeva S.; Intuitionistic fuzzy sets , Proc. of Polish Symp. on Interval and Fuzzy Mathematics, Poznan
  4. Chang C.L.; Fuzzy topological spaces, J. Math.Anal. Appl. 24(1968),182-190
  5. Coker D.; An introduction to fuzzy subspsces in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 4(1996), 749-764
  6. Coker D., Demirci M.; An introduction to intuitionistic fuzzy topological spaces in Sostak's sense, USE-FAL, 67(1996), 67-76
  7. Coker D.; An introduction to intuitionistic fuzzy topological spaces, Fuzzy sets and systems, 88(1997), 81-89
  8. Garcia J. G. and Rodabaugh S. E.; Order-theoretic, topological, categorical redundancies of interval-valued sets, grey sets, vague sets, interval-valued "intuitionistic" sets, "intuitionistic" fuzzy sets and topologies, Fuzzy sets and systems, 156 (2005), 445-484
  9. Goguen J. A.; The fuzzy Tychono ftheorem, J. Math. Anal. Appl. 43(1973), 734-742
  10. Gurcay H., Coker D. and Haydar Es A.; On fuzzy continuity inituitionistic fuzzy topological spaces, J. Fuzzy Math.5(1997), 365-378
  11. Kim Y. C., Kim Y. S.; Fuzzy R-drived sets in fuzzy topological spaces, Int. J. of Fuzz. Log. & Intil. Sys., 9(6)(1999), 644-649
  12. Kubiak T.; On fuzzy topologies; Ph.D Thesis, A. Mickiewicz,poznan,1985
  13. Lee E. P., Im Y. B.; Mated fuzzy topological spaces, Int. J.of Fuzz.Log. & Intil. Sys.,11(2)(2001), 161-165
  14. Samanta S. K., Mondal T. K.; Intuitionistic gradation of openness: intuitionistic fuzzy topology, Busefal, 73(1997), 8-17
  15. Samanta S. K., Mondal T. K.; On intuitionistic gradation of openness, Fuzzy Sets and Systems, 131(2002) 323-336
  16. Sostak A.P.; On a fuzzy topological structre, Suppl. Rend. Circ.Matem.Palermo, ser.II 11(1985)