A definition for I-fuzzy partitions

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2010 Spain English Publisher:Springer Science and Business Media LLCJournal:Soft Computing, volume 15, pages 363-369 (issn: 1432-7643, eissn: 1433-7479,

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Authors: Vicenç Torra; Sadaaki Miyamoto;

doi: 10.1007/s00500-010-0605-z

handle: 10261/138173

A definition for I-fuzzy partitions

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Abstract

In this paper, we define I-fuzzy partitions (or intuitionistic fuzzy partitions as called by Atanassov or interval-valued fuzzy partitions). As our ultimate goal is to compare the results of standard fuzzy clustering algorithms (e.g. fuzzy c-means), we define a method to construct them from a set of fuzzy clusters obtained from several executions of fuzzy c-means. From a practical point of view, the approach presented here tries to solve the difficulty of comparing the results of fuzzy clustering methods and, in particular, the difficulty of finding the global optimal. © 2010 Springer-Verlag.

Partial support by the Spanish MEC (projects ARES – CONSOLIDER INGENIO 2010 CSD2007-00004 – and eAEGIS – TSI2007-65406-C03-02) is acknowledged.

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Spain

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Keywords

Fuzzy partitions, Fuzzy clustering, fuzzy \(c\)-means, Fuzzy c-means, Learning and adaptive systems in artificial intelligence, fuzzy clustering, I-fuzzy partitions, fuzzy partitions, Atanassov intuitionistic fuzzy sets

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