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A definition for hesitant fuzzy partitions
Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
University of Skövde, School of Informatics. University of Skövde, The Informatics Research Centre. (Skövde Artificial Intelligence Lab (SAIL))ORCID iD: 0000-0002-0368-8037
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
Department of Computer Engineering, Faculty of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran.
2016 (English)In: International Journal of Computational Intelligence Systems, ISSN 0976-0962, E-ISSN 1875-6883, Vol. 9, no 3, 497-505 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we define hesitant fuzzy partitions (H-fuzzy partitions) to consider the results of standard fuzzy clustering family (e.g. fuzzy c-means and intuitionistic fuzzy c-means). We define a method to construct H-fuzzy partitions from a set of fuzzy clusters obtained from several executions of fuzzy clustering algorithms with various initialization of their parameters. Our purpose is to consider some local optimal solutions to find a global optimal solution also letting the user to consider various reliable membership values and cluster centers to evaluate her/his problem using different cluster validity indices.

Place, publisher, year, edition, pages
Taylor & Francis Group, 2016. Vol. 9, no 3, 497-505 p.
Keyword [en]
Fuzzy partition, I-fuzzy partition, Hesitant fuzzy set, Hesitant fuzzy partition
National Category
Computer Systems
Identifiers
URN: urn:nbn:se:his:diva-13066DOI: 10.1080/18756891.2016.1175814ISI: 000373756900007ScopusID: 2-s2.0-84963682311OAI: oai:DiVA.org:his-13066DiVA: diva2:1044079
Available from: 2016-11-01 Created: 2016-11-01 Last updated: 2017-01-19Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf