Fuzzy normed linear spaces continuous and linear operators

The firstly in this thesis, basic concepts like characteristic function, fuzzy set definition and some poperties of these concepts are given. Later some different fuzzy normed definition are given which are defined by Katsaras,Felbin, Bag-Samanta and Saadati Vaezpour in literature. These definitions are supported with examples, some properties, theorems and proofs. After, by using from article of Bag-Samanta fuzzy convergence definitions and examles are given. In the thirth chapter, by using from article of Bag-Samanta firstly; fuzzy anti norm definition and examples after Felbin- Bag ve Samanta, Katsaras- Bag ve Samanta comparative of fuzzy norms and examples are introduced. In the fourth chapter are given place to fuzzy linear operators in fuzzy normed linear spaces. Continuous fuzzy operator, fuzzy bounded linear operator and relationship between them are introduced. Also, some definitions, examples and theorems related to fuzzy sequentially continuous, fuzzy strong continuous and uniformly continuous fuzzy operator are given. In the final chapter are given place to suggestions with study. Keywords: Fuzzy sets, Fuzzy numbers, Fuzzy normed linear space, Fuzzy anti norm, Fuzzy linear operator.