Research Article
Year 2009,
Volume: 38 Issue: 3, 243 - 257, 01.03.2009
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,
Year 2009,
Volume: 38 Issue: 3, 243 - 257, 01.03.2009
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.
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 | |
| Publication Date | March 1, 2009 |
| Published in Issue | Year 2009 Volume: 38 Issue: 3 |