Generalization property of fuzzy classification function for tsallis entropy-regularization of bezdek-type fuzzy c-means clustering

Yuchi Kanzawa

doi:10.1007/978-3-030-57524-3_10

Generalization property of fuzzy classification function for tsallis entropy-regularization of bezdek-type fuzzy c-means clustering

研究成果: Conference contribution

抄録

In this study, Tsallis entropy-regularized Bezdek-type fuzzy c-means clustering method is proposed. Because the proposed method reduces to four conventional fuzzy clustering methods by appropriately controlling fuzzification parameters, the proposed method is considered to be their generalization. Through numerical experiments, this generalization property is confirmed; in addition, it is observed that the fuzzy classification function of the proposed method approaches a value equal to the reciprocal of the cluster number.

本文言語	English
ホスト出版物のタイトル	Modeling Decisions for Artificial Intelligence - 17th International Conference, MDAI 2020, Proceedings
編集者	Vicenc Torra, Yasuo Narukawa, Jordi Nin, Núria Agell
出版社	Springer
ページ	119-131
ページ数	13
ISBN（印刷版）	9783030575236
DOI	https://doi.org/10.1007/978-3-030-57524-3_10
出版ステータス	Published - 2020
イベント	17th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2020 - Sant Cugat del Vallès, Spain 継続期間: 2020 9月 2 → 2020 9月 4

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)
巻	12256 LNAI
ISSN（印刷版）	0302-9743
ISSN（電子版）	1611-3349

Conference

Conference	17th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2020
国/地域	Spain
City	Sant Cugat del Vallès
Period	20/9/2 → 20/9/4

ASJC Scopus subject areas

理論的コンピュータサイエンス
コンピュータサイエンス（全般）

文献へのアクセス

10.1007/978-3-030-57524-3_10

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引用スタイル

Kanzawa, Y. (2020). Generalization property of fuzzy classification function for tsallis entropy-regularization of bezdek-type fuzzy c-means clustering. In V. Torra, Y. Narukawa, J. Nin, & N. Agell (Eds.), Modeling Decisions for Artificial Intelligence - 17th International Conference, MDAI 2020, Proceedings (pp. 119-131). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12256 LNAI). Springer. https://doi.org/10.1007/978-3-030-57524-3_10

Generalization property of fuzzy classification function for tsallis entropy-regularization of bezdek-type fuzzy c-means clustering. / Kanzawa, Yuchi.
Modeling Decisions for Artificial Intelligence - 17th International Conference, MDAI 2020, Proceedings. ed. / Vicenc Torra; Yasuo Narukawa; Jordi Nin; Núria Agell. Springer, 2020. p. 119-131 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12256 LNAI).

研究成果: Conference contribution

Kanzawa, Y 2020, Generalization property of fuzzy classification function for tsallis entropy-regularization of bezdek-type fuzzy c-means clustering. in V Torra, Y Narukawa, J Nin & N Agell (eds), Modeling Decisions for Artificial Intelligence - 17th International Conference, MDAI 2020, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12256 LNAI, Springer, pp. 119-131, 17th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2020, Sant Cugat del Vallès, Spain, 20/9/2. https://doi.org/10.1007/978-3-030-57524-3_10

Kanzawa Y. Generalization property of fuzzy classification function for tsallis entropy-regularization of bezdek-type fuzzy c-means clustering. In Torra V, Narukawa Y, Nin J, Agell N, editors, Modeling Decisions for Artificial Intelligence - 17th International Conference, MDAI 2020, Proceedings. Springer. 2020. p. 119-131. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-57524-3_10

Kanzawa, Yuchi. / Generalization property of fuzzy classification function for tsallis entropy-regularization of bezdek-type fuzzy c-means clustering. Modeling Decisions for Artificial Intelligence - 17th International Conference, MDAI 2020, Proceedings. editor / Vicenc Torra ; Yasuo Narukawa ; Jordi Nin ; Núria Agell. Springer, 2020. pp. 119-131 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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