Fuzzy metric spaces and applications
2008
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Advisor: Prof. Dr. Cemil Yıldız
Abstract (EN)
In this thesis, the concept of fuzzy multi-metric space was defined first time inthe literature. Fundamental properties of fuzzy multi-metric spaces liketopological structure of fuzzy multi-metric space, convergence and continuitywere given. Furthermore, relationships between t-norms and t-conorms andintuitionistic fuzzy metric spaces were given in the light of examples. Finally theconstruction of Hausdorff metric in intuitionistic fuzzy metric space wasintroduced in detail. Some relationships between uniform structures induced byintuitionistic fuzzy metric and Hausdorff metric were given.
Author
Dr. Hakan Efe
Institution
How to Cite
Hakan Efe (Doctorate thesis). Fuzzy metric spaces and applications, 2008, Gazi University, Matematik Bölümü.
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