On the consistency of a Fuzzy C-Means algorithm for multisets

Authors:
Vicenç Torra;Sadaaki Miyamoto
Affiliations:
IIIA-CSIC;University of Tsukuba
Venue:
Proceedings of the 2005 conference on Artificial Intelligence Research and Development
Year:
2005

Citing 4
Cited 0

Application of rough sets to information retrieval

Journal of the American Society for Information Science - Special issue: management of imprecision and uncertainty
Pattern Recognition with Fuzzy Objective Function Algorithms

Pattern Recognition with Fuzzy Objective Function Algorithms
Information clustering based on fuzzy multisets

Information Processing and Management: an International Journal - Modelling vagueness and subjectivity in information access
Generalizations of multisets and rough approximations

International Journal of Intelligent Systems - Granular Computing and Data Mining

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Abstract

The use of fuzzy multisets or fuzzy bags in AI applications is increasing. They are used as a tool for modeling data. In unsupervised learning, clustering methods have been succesful for a long time. In this paper we study fuzzy c-means and we compare their application to fuzzy sets and fuzzy multisets.