### 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 |
---|---|

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 |
---|---|

Period | 10/14/92 → 10/18/92 |

### All Science Journal Classification (ASJC) codes

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

### Cite this

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

**Fuzzy linear operators and fuzzy normed linear spaces.** / Cheng, Shih-Chuan; Mordeson, John N.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*First International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries.*pp. 193-197, First International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries, 10/14/92.

}

TY - GEN

T1 - Fuzzy linear operators and fuzzy normed linear spaces

AU - Cheng, Shih-Chuan

AU - Mordeson, John N.

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=1842610002&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1842610002&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:1842610002

SP - 193

EP - 197

BT - First International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries

A2 - Wang, P.P.

A2 - Dai, J.

A2 - Tyan, J.C.-Y.

ER -