DOI QR코드

DOI QR Code

Double Fuzzy Preproximity Spaces

  • 발행 : 2007.12.01

초록

In this paper, we introduce the concept of double fuzzy preproximity spaces as a generalization of a fuzzy preproximity spaces and investigate some of their properties. Also we study the relationships between double fuzzy preproximity spaces, double fuzzy topological spaces and double fuzzy closure spaces. In addition to this was the introduction of the concept of double fuzzy neighborhood system and has been studying the connection with double fuzzy preproximity, which resulted in the definition of the concept double fuzzy preproximal neighborhood.

키워드

참고문헌

  1. K. Atanassove; Intuitionisticfuzzy sets, Fuzzy sets ad systems 20(1984), 87-90
  2. K. Atanassove; New operators defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(2)(1993) 131-142
  3. C. L. Chang ; Fuzzy topological spaces, J. Math. Anal. Appl. 24(1968),182-190 https://doi.org/10.1016/0022-247X(68)90057-7
  4. D. Coker ; An introduction to fuzzy subspsces in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 4(1996),749-764
  5. D. Coker, M. Demirci ; An introduction to intuitionistic fuzzy topological spaces in Sostak's sense, BUSEFAL, 67(1996), 67-76
  6. D. Coker ; An introduction to intuitionistic fuzzy topological spaces, Fuzzy sets and systems, 88(1997), 81-89 https://doi.org/10.1016/S0165-0114(96)00076-0
  7. R. Badard, A. A. Ramadan and A. S. Mashhour ; Smooth preuniform and preproximity spaces, Fuzzy Sets and Systems, 59(1993), 95-107 https://doi.org/10.1016/0165-0114(93)90229-B
  8. Y. C. Kim, K. C. Min; L-fuzzy preproximities and L-fuzzy toplogies, Information sciences, 173(2005), 93-113 https://doi.org/10.1016/j.ins.2004.07.005
  9. E. P. Lee, Y. B. Im; Mated fuzzy topological spaces, Int. J. of Fuzz. Log. & Intil. Sys., 11(2) (2001), 161-165
  10. S. K. Samanta, T. K. Mondal ; Intuitionistic gradation of openness: intuitionistic fuzzy topology, Busefal, 73(1997), 8-17
  11. S. K. Samanta and T. K. Mondal; On intuitionistic gradation of openness, Fuzzy Sets and Systems, 131 (2002) 323-336 https://doi.org/10.1016/S0165-0114(01)00235-4
  12. S. K. Samanta ; Fuzzy proximities andfuzzy uniformities, Fuzzy sets and systems, vol. 70(1995)
  13. K. C. Chattopadhyay, U. K. Mukherjee, S.K, Samanta ; Fuzzy proximity structures and fuzzy grills, Fuzzy Sets and Systems, 79(1996), 383-393 https://doi.org/10.1016/0165-0114(95)00087-9
  14. K. C. Chattopadhyay, U. K. Mukherjee,S.K, Samanta ; Product of f-proximities infuzzy setting, Fuzzy Sets and Systems, 121 (2001), 191-201 https://doi.org/10.1016/S0165-0114(00)00012-9
  15. M. H. Ghanim, O. A. Tantawy, Fawzia M. Selim ; Gradations of uniformity and gradation ofproximity, Fuzzy sets and systems, vol. 79 (1996), 373-382 https://doi.org/10.1016/0165-0114(95)00090-9
  16. A. P.Sostak; On a fuzzy topological structre, Suppl. Rend. Circ. Matem. Palermo, ser. II 11(1985)
  17. U. Hahle, A. P. Sostak ; Axiomatic faundation of fixed-basis fuzzy topology,in: U. Hohle, S. E. Radabaugh( Eds.), The handbooks of Fuzzy sets series, Vol.3, Kluwer academic publishers, Dorcrech, 1990
  18. K. Atanassove, S. Stoeva ; Intuitionistic fuzzy sets, Proc. of Polish Symp. on Interval and Fuzzy Mathematics, Poznan, August (1983), 23-26
  19. J. G. Garcia and S. E. Rodabaugh; Order-theoretic, topological, categorical redundancies of intervalvalued sets, grey sets, vague sets, interval-valued 'intuitionistic' sets, 'intuitionistic' fuzzy sets and topologies, Fuzzy sets and systems, 156 (2005), 445-484 https://doi.org/10.1016/j.fss.2005.05.023

피인용 문헌

  1. An Approach to the Concept of Soft Fuzzy Proximity vol.2014, pp.1687-0409, 2014, https://doi.org/10.1155/2014/782583
  2. Fuzzy $${k_{\circ}}$$ k ∘ -preproximities related to fuzzy closure spaces vol.4, pp.2, 2015, https://doi.org/10.1007/s40065-014-0122-5