### 抜粋

This paper proposes two types of kernel fuzzy c-means algorithms with an indefinite kernel. Both algorithms are based on the fact that the relational fuzzy c-means algorithm is a special case of the kernel fuzzy c-means algorithm. The first proposed algorithm adaptively updated the indefinite kernel matrix such that the dissimilarity between each datum and each cluster center in the feature space is non-negative, instead of subtracting the minimal eigenvalue of the given kernel matrix as its preprocess. This derivation follows the manner in which the non-Euclidean relational fuzzy c-means algorithm is derived from the original relational fuzzy c-means one. The second proposed method produces the memberships by solving the optimization problem in which the constraint of non-negative memberships is added to the one of K-sFCM. This derivation follows the manner in which the non-Euclidean fuzzy relational clustering algorithm is derived from the original relational fuzzy c-means one. Through a numerical example, the proposed algorithms are discussed.

元の言語 | English |
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ホスト出版物のタイトル | Modeling Decisions for Artificial Intelligence - 7th International Conference, MDAI 2010, Proceedings |

ページ | 116-128 |

ページ数 | 13 |

DOI | |

出版物ステータス | Published - 2010 12 1 |

イベント | 7th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2010 - Perpignan, France 継続期間: 2010 10 27 → 2010 10 29 |

### 出版物シリーズ

名前 | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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巻 | 6408 LNAI |

ISSN（印刷物） | 0302-9743 |

ISSN（電子版） | 1611-3349 |

### Conference

Conference | 7th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2010 |
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国 | France |

市 | Perpignan |

期間 | 10/10/27 → 10/10/29 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

## フィンガープリント Indefinite kernel fuzzy c-means clustering algorithms' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Modeling Decisions for Artificial Intelligence - 7th International Conference, MDAI 2010, Proceedings*(pp. 116-128). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 6408 LNAI). https://doi.org/10.1007/978-3-642-16292-3_13