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DI-EXTREMITIES ON TEXTURES

Year 2009, Volume: 38 Issue: 3, 243 - 257, 01.03.2009

G. Yildiz R. Ertürk

Abstract

References

  • Brown, L. M. Ditopological fuzzy structures I, Fuzzy Systems and A.I. Mag. 3 (1), 1993.
  • Brown, L. M. Ditopological fuzzy structures II, Fuzzy Systems and A.I. Mag. 3 (2), 1993.
  • Brown, L. M. and Diker, M. Ditopological texture spaces and intuitionistic sets, Fuzzy Sets and Systems 98, 217–224, 1998.
  • Brown, L. M. and Ert¨urk, R. Fuzzy sets as texture spaces, I. Representation theorems, Fuzzy Sets and Systems 110 (2), 227–236, 2000.
  • Brown, L. M., Ert¨urk, R. and Dost, S¸. Ditopological texture spaces and fuzzy topology I: Basic concepts, Fuzzy Sets and Systems 147, 171–199, 2004.
  • Brown, L. M., Ert¨urk, R. and Dost, S¸. Ditopological texture spaces and fuzzy topology II: Topological Considerations, Fuzzy Sets and Systems 147, 201–231, 2004.
  • Brown, L. M., Ert¨urk, R. and Dost, S¸. Ditopological texture spaces and fuzzy topology III: Seperation axioms, Fuzzy Sets and Systems 157, 1886–1912, 2006.
  • Efremovic, V. A. The geometry of proximity, Mat. Sb. 31 (73), 189–200, 1952 (in Russian).
  • Ert¨urk, R. Seperation axioms in fuzzy topology characterized by bitopologies, Fuzzy Sets and Systems 58, 206–209, 1993.
  • Leader, S. On duality in proximity spaces, Am. math. Soc. 13, 518–523, 1963.
  • Naimpally, S. A. and Warrack, B. D. Proximity spaces (Comb. Univ., 1970).
  • ¨Oz¸caˆg, S. and Brown, L. M. Di-uniform texture spaces, Appl. General Topol. 4 (1), 157–192, ¨Oz¸caˆg, S. and Brown, L. M. A textural view of the distinction between uniformities and quasi uniformities, Topology and its applications 153, 3294–3307, 2006.
  • Pervin, W. J. Quasi-proximities for topological spaces, Math. Annalen. 150 (73), 325–326,

DI-EXTREMITIES ON TEXTURES

Year 2009, Volume: 38 Issue: 3, 243 - 257, 01.03.2009

G. Yildiz R. Ertürk

Abstract

In this paper, the authors adapt the notion of proximity to the point free setting of textures and investigate the relationship with dimetrics and di-uniformities.

Keywords

Texture Spaces Ditopology Proximity Di-extremity Di-uniformity Dimetric

References

  • Brown, L. M. Ditopological fuzzy structures I, Fuzzy Systems and A.I. Mag. 3 (1), 1993.
  • Brown, L. M. Ditopological fuzzy structures II, Fuzzy Systems and A.I. Mag. 3 (2), 1993.
  • Brown, L. M. and Diker, M. Ditopological texture spaces and intuitionistic sets, Fuzzy Sets and Systems 98, 217–224, 1998.
  • Brown, L. M. and Ert¨urk, R. Fuzzy sets as texture spaces, I. Representation theorems, Fuzzy Sets and Systems 110 (2), 227–236, 2000.
  • Brown, L. M., Ert¨urk, R. and Dost, S¸. Ditopological texture spaces and fuzzy topology I: Basic concepts, Fuzzy Sets and Systems 147, 171–199, 2004.
  • Brown, L. M., Ert¨urk, R. and Dost, S¸. Ditopological texture spaces and fuzzy topology II: Topological Considerations, Fuzzy Sets and Systems 147, 201–231, 2004.
  • Brown, L. M., Ert¨urk, R. and Dost, S¸. Ditopological texture spaces and fuzzy topology III: Seperation axioms, Fuzzy Sets and Systems 157, 1886–1912, 2006.
  • Efremovic, V. A. The geometry of proximity, Mat. Sb. 31 (73), 189–200, 1952 (in Russian).
  • Ert¨urk, R. Seperation axioms in fuzzy topology characterized by bitopologies, Fuzzy Sets and Systems 58, 206–209, 1993.
  • Leader, S. On duality in proximity spaces, Am. math. Soc. 13, 518–523, 1963.
  • Naimpally, S. A. and Warrack, B. D. Proximity spaces (Comb. Univ., 1970).
  • ¨Oz¸caˆg, S. and Brown, L. M. Di-uniform texture spaces, Appl. General Topol. 4 (1), 157–192, ¨Oz¸caˆg, S. and Brown, L. M. A textural view of the distinction between uniformities and quasi uniformities, Topology and its applications 153, 3294–3307, 2006.
  • Pervin, W. J. Quasi-proximities for topological spaces, Math. Annalen. 150 (73), 325–326,
There are 13 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Mathematics
Authors

G. Yildiz This is me

R. Ertürk This is me

Publication Date March 1, 2009
Published in Issue Year 2009 Volume: 38 Issue: 3

Cite

APA Yildiz, G., & Ertürk, R. (2009). DI-EXTREMITIES ON TEXTURES. Hacettepe Journal of Mathematics and Statistics, 38(3), 243-257.
AMA Yildiz G, Ertürk R. DI-EXTREMITIES ON TEXTURES. Hacettepe Journal of Mathematics and Statistics. March 2009;38(3):243-257.
Chicago Yildiz, G., and R. Ertürk. “DI-EXTREMITIES ON TEXTURES”. Hacettepe Journal of Mathematics and Statistics 38, no. 3 (March 2009): 243-57.
EndNote Yildiz G, Ertürk R (March 1, 2009) DI-EXTREMITIES ON TEXTURES. Hacettepe Journal of Mathematics and Statistics 38 3 243–257.
IEEE G. Yildiz and R. Ertürk, “DI-EXTREMITIES ON TEXTURES”, Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 3, pp. 243–257, 2009.
ISNAD Yildiz, G. - Ertürk, R. “DI-EXTREMITIES ON TEXTURES”. Hacettepe Journal of Mathematics and Statistics 38/3 (March 2009), 243-257.
JAMA Yildiz G, Ertürk R. DI-EXTREMITIES ON TEXTURES. Hacettepe Journal of Mathematics and Statistics. 2009;38:243–257.
MLA Yildiz, G. and R. Ertürk. “DI-EXTREMITIES ON TEXTURES”. Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 3, 2009, pp. 243-57.
Vancouver Yildiz G, Ertürk R. DI-EXTREMITIES ON TEXTURES. Hacettepe Journal of Mathematics and Statistics. 2009;38(3):243-57.

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