## Fuzzy linear operators and fuzzy normed linear spaces.(English)Zbl 0829.47063

Summary: We introduce the concepts of a fuzzy linear operator and fuzzy normed linear space. We determine the algebraic structure of the set of all fuzzy linear operators of a linear space into another. We define and characterize continuity of a fuzzy linear operator in terms of a fuzzy norm.

### MSC:

 47S40 Fuzzy operator theory 46S40 Fuzzy functional analysis