Öz
Kaynakça
- 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,
Öz
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.
Anahtar Kelimeler
Texture Spaces Ditopology Proximity Di-extremity Di-uniformity Dimetric
Kaynakça
- 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,
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | İstatistik |
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Mart 2009 |
| Yayımlandığı Sayı | Yıl 2009 Cilt: 38 Sayı: 3 |