## 抄録

Generally, we could efficiently analyze the inexact information and investigate the fuzzy relation by applying the fuzzy graph theory^{[1]}. We would extend the fuzzy graph theory, and propose a fuzzy node fuzzy graph. Since a fuzzy node fuzzy graph is complicated to analyze, we would transform it to a simple fuzzy graph by using T-norm family. In addition, to investigate the relations between nodes, we would define the fuzzy contingency table. In this paper, we would discuss about five subjects, (1) new T-norm "Uesu product", (2) fuzzy node fuzzy graph, (3) fuzzy contingency table, (4) decision analysis of the optimal fuzzy graph G_{λ0} in the fuzzy graph sequence {G_{λ}} and (5) its application to sociometry analysis. By using the fuzzy node fuzzy graph theory, the new T-norm and the fuzzy contingency table, we could clarify the relational structure of fuzzy information. According to the decision method in section 2, we could find the optimal fuzzy graph G_{0} in the fuzzy graph sequence {G _{λ}}, and clarify the structural feature of the fuzzy node fuzzy graph. Moreover, we would illustrate its practical effectiveness with the case study concerning sociometry analysis.

本文言語 | English |
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ホスト出版物のタイトル | IEEE International Conference on Fuzzy Systems |

ページ | 1593-1597 |

ページ数 | 5 |

DOI | |

出版ステータス | Published - 2011 |

外部発表 | はい |

イベント | 2011 IEEE International Conference on Fuzzy Systems, FUZZ 2011 - Taipei 継続期間: 2011 6 27 → 2011 6 30 |

### Other

Other | 2011 IEEE International Conference on Fuzzy Systems, FUZZ 2011 |
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City | Taipei |

Period | 11/6/27 → 11/6/30 |

## ASJC Scopus subject areas

- ソフトウェア
- 人工知能
- 応用数学
- 理論的コンピュータサイエンス