Research Article
Year 2020,
Volume: 13 Issue: 3, 1132 - 1137, 31.12.2020
Abstract
Bu çalışmada bulanık metrik uzaylar arasındaki sürekli fonksiyon uzaylarında bir bulanık metrik elde edilmiştir. Daha sonra bu fonksiyon uzaylarında tamlık, principal olma ve kompaktlık gibi özellikler incelenmiştir.
References
- George, A., Veeramani, P. 1995. "Some theorems in fuzzy metric spaces", Journal of Fuzzy Mathematics, 3, 933-940.
- George, A., Veeramani, P. 1994 “On some results in fuzzy metric spaces”, Fuzzy Sets and Systems, 64, 395-399.
- George, A., Veeramani, P. 1997 "On some results of analysis for fuzzy metric spaces", Fuzzy sets and systems, 90(3), 365-368.
- Gregori, V., Lopez-Crevillen, A., Morillas, S., Sapena, A. 2009 “On convergence in fuzzy metric spaces”, Topology and its Applications, 156, 3002-3006.
- Gregori, V., Minana, J.J. "Some concepts related to continuity in fuzzy metric spaces", Workshop in Applied Topology WiAT, Spain, 2013.
- Gregori, V., Morillas S., López-Crevillén A. "On continuity and uniform continuity in fuzzy metric spaces", Workshop in Applied Topology WiAT, Spain, 2009.
- Gregori, V., Romaguera. S. 2000 "Some properties of fuzzy metric spaces", Fuzzy sets and systems, 115(3), 485-489.
- Gregori, V., Romaguera, S., Sapena, A. 2004 “On t-uniformly continuous mappings in fuzzy metric spaces”, The Journal of Fuzzy Mathematics, 12(1), 237–243.
- Gregori, V., Sapena. A. “On fixed-point theorems in fuzzy metric spaces”, Fuzzy Sets and Systems, 125, 245–252.
- Künzi, H.P.A. (2001) “Nonsymmetric distances and their associated topologies: About the origins of basic ideas in the area of asymmetric topology”, Springer, Handbook of the History of General Topology, 853-968.
- Kramosil, I., Michalek, J. (1975) “Fuzzy metric and statistical metric spaces”, Kybernetika, 11, 326-334.
- Mihet, D. (2007) “On fuzzy contractive mappings in fuzzy metric spaces”, Fuzzy Sets and Systems,158, 915-921.
- Zadeh, L.A. (1965) “Fuzzy sets”, Information and control, 3, 338-353.
Year 2020,
Volume: 13 Issue: 3, 1132 - 1137, 31.12.2020
Abstract
In this study, we obtain a fuzzy metric on continuous function space between fuzzy metric space. Then several properties of this function spaces such as completeness, being principal and compactness were investigated.
References
- George, A., Veeramani, P. 1995. "Some theorems in fuzzy metric spaces", Journal of Fuzzy Mathematics, 3, 933-940.
- George, A., Veeramani, P. 1994 “On some results in fuzzy metric spaces”, Fuzzy Sets and Systems, 64, 395-399.
- George, A., Veeramani, P. 1997 "On some results of analysis for fuzzy metric spaces", Fuzzy sets and systems, 90(3), 365-368.
- Gregori, V., Lopez-Crevillen, A., Morillas, S., Sapena, A. 2009 “On convergence in fuzzy metric spaces”, Topology and its Applications, 156, 3002-3006.
- Gregori, V., Minana, J.J. "Some concepts related to continuity in fuzzy metric spaces", Workshop in Applied Topology WiAT, Spain, 2013.
- Gregori, V., Morillas S., López-Crevillén A. "On continuity and uniform continuity in fuzzy metric spaces", Workshop in Applied Topology WiAT, Spain, 2009.
- Gregori, V., Romaguera. S. 2000 "Some properties of fuzzy metric spaces", Fuzzy sets and systems, 115(3), 485-489.
- Gregori, V., Romaguera, S., Sapena, A. 2004 “On t-uniformly continuous mappings in fuzzy metric spaces”, The Journal of Fuzzy Mathematics, 12(1), 237–243.
- Gregori, V., Sapena. A. “On fixed-point theorems in fuzzy metric spaces”, Fuzzy Sets and Systems, 125, 245–252.
- Künzi, H.P.A. (2001) “Nonsymmetric distances and their associated topologies: About the origins of basic ideas in the area of asymmetric topology”, Springer, Handbook of the History of General Topology, 853-968.
- Kramosil, I., Michalek, J. (1975) “Fuzzy metric and statistical metric spaces”, Kybernetika, 11, 326-334.
- Mihet, D. (2007) “On fuzzy contractive mappings in fuzzy metric spaces”, Fuzzy Sets and Systems,158, 915-921.
- Zadeh, L.A. (1965) “Fuzzy sets”, Information and control, 3, 338-353.
There are 13 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Makaleler |
| Authors | |
| Publication Date | December 31, 2020 |
| Published in Issue | Year 2020 Volume: 13 Issue: 3 |