Student:	Kerim BEKAR
Supervisor:	Prof.Dr. İhsan ÜNVER
Department:	Matematik
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University, Turkey

Summary:

The study entitled “Metric on L-Fuzzy Real Line” consists of two chapters.

In the first chapter, fundamental concepts and theorems used in our study are explored.

In the second chapter, a metric is defined on L-Fuzzy real line where L is a complete lattice.

Finally, according to this defined metric, the completeness of L-Fuzzy real line, where L is a chain and its every element is compact, is proved.

Key Words: L-Fuzzy real line, metric, compact, chain, completeness.