### Abstract

We introduce the concepts of 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.

Original language | English |
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Title of host publication | First International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries |

Editors | P.P. Wang, J. Dai, J.C.-Y. Tyan |

Pages | 193-197 |

Number of pages | 5 |

State | Published - 1992 |

Event | First International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries - Duration: Oct 14 1992 → Oct 18 1992 |

### Other

Other | First International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries |
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Period | 10/14/92 → 10/18/92 |

### All Science Journal Classification (ASJC) codes

- Artificial Intelligence
- Computational Theory and Mathematics
- Information Systems
- Software

## Cite this

Cheng, S-C., & Mordeson, J. N. (1992). Fuzzy linear operators and fuzzy normed linear spaces. In P. P. Wang, J. Dai, & JC-Y. Tyan (Eds.),

*First International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries*(pp. 193-197)