### 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 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

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

### Cite this

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

**Fuzzy subgroups and coding theory.** / Cheng, Shih-Chuan; Mordeson, John N.

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

*Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries.*pp. 1-3, Second International Conference on Fuzzy Theory and Technology Proceedings, Abstracts and Summaries, Durham, NC, United States, 10/13/93.

}

TY - GEN

T1 - Fuzzy subgroups and coding theory

AU - Cheng, Shih-Chuan

AU - Mordeson, John N.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

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UR - http://www.scopus.com/inward/citedby.url?scp=1842609702&partnerID=8YFLogxK

M3 - Conference contribution

SP - 1

EP - 3

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

A2 - Wang, P.P.

A2 - Tyan, J.C.-Y.

A2 - Kaneda, K.

ER -