T-norms

In the first chapter fundamental definitons and notions and some theorems which are essential for the thesis are given.The second chapter consists of three sections. In the first section general information and fundamental properties of t-norms and t-conorms are given. In the second section some technics of construction of t-norms are given. In the third chapter some properties of continuous t-norms are studied.In the third chapter after the fundamental definitons, properties and examples of fuzzy metric spaces are given, the topologies induced by fuzzy metrics and the properties of these topologies are studied. Afterwords, the properties of the topologies induced by fuzzy metrics compared to the properties of the topologies induced by general metrics.The final chapter is composed of three sections. In the first of these the fundamental properties of fuzzy quasi-metric spaces and topologies induced by fuzzy quasi-metrics are given. In the second section it is shown that a topological space is quasi-metrizable iff this space is fuzzy quasi-metrizable. In the third section some properties of bicomplete fuzzy quasi-metric spaces are studied.