### Abstract

The notion of a fuzzy subgroup of G was introduced. It was shown that although such classes look different, each fuzzy subgroup in either was isomorphic to one in the other. In addition, it was shown that a fuzzy subgroup satisfies the definition of fuzzy subgroup with T='minimum' if and only if it was a fuzzy subgroup generated of a very special type. This paper shows how the abstract pattern recognition problems developed can be used to examine the faithfulness of a device F which decodes message transmitted across a noisy channel.

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

Editors | P.P. Wang, J.C.-Y. Tyan, K. Kaneda |

Pages | 1-3 |

Number of pages | 3 |

State | Published - 1993 |

Event | Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries - Durham, NC, United States Duration: Oct 13 1993 → Oct 16 1993 |

### Other

Other | Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries |
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Country | United States |

City | Durham, NC |

Period | 10/13/93 → 10/16/93 |

### All Science Journal Classification (ASJC) codes

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

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## Cite this

Cheng, S-C., & Mordeson, J. N. (1993). Fuzzy subgroups and coding theory. In P. P. Wang, JC-Y. Tyan, & K. Kaneda (Eds.),

*Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries*(pp. 1-3)