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

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

Abstract

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.

Original language	English
Title of host publication	Modeling Decisions for Artificial Intelligence - 17th International Conference, MDAI 2020, Proceedings
Editors	Vicenc Torra, Yasuo Narukawa, Jordi Nin, Núria Agell
Publisher	Springer
Pages	119-131
Number of pages	13
ISBN (Print)	9783030575236
DOIs	https://doi.org/10.1007/978-3-030-57524-3_10
Publication status	Published - 2020
Event	17th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2020 - Sant Cugat del Vallès, Spain Duration: 2020 Sept 2 → 2020 Sept 4

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	12256 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

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

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Access to Document

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

Cite this

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).

Research output: Chapter in Book/Report/Conference proceeding › 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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Generalization property of fuzzy classification function for tsallis entropy-regularization of bezdek-type fuzzy c-means clustering

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