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A Fuzzy Graph-based Heuristic Algorithm of Possibilistic Clustering

Dmitri A. Viattchenin, Evgeny Nikolaenya, Aliaksandr Damaratski. Published in Fuzzy Systems.

Communications on Applied Electronics
Year of Publication: 2015
Publisher: Foundation of Computer Science (FCS), NY, USA
Authors: Dmitri A. Viattchenin, Evgeny Nikolaenya, Aliaksandr Damaratski
10.5120/cae2015651989

Dmitri A Viattchenin, Evgeny Nikolaenya and Aliaksandr Damaratski. Article: A Fuzzy Graph-based Heuristic Algorithm of Possibilistic Clustering. Communications on Applied Electronics 3(7):13-23, December 2015. Published by Foundation of Computer Science (FCS), NY, USA. BibTeX

@article{key:article,
	author = {Dmitri A. Viattchenin and Evgeny Nikolaenya and Aliaksandr Damaratski},
	title = {Article: A Fuzzy Graph-based Heuristic Algorithm of Possibilistic Clustering},
	journal = {Communications on Applied Electronics},
	year = {2015},
	volume = {3},
	number = {7},
	pages = {13-23},
	month = {December},
	note = {Published by Foundation of Computer Science (FCS), NY, USA}
}

Abstract

In this paper, a heuristic algorithm of possibilistic clustering based on fuzzy graph decomposition is proposed. For the purpose, concepts of fuzzy graph and fuzzy tolerance relation are considered and basic definitions of the heuristic approach to possibilistic clustering are described. An application of the proposed algorithm to the Tamura’s portrait data set is provided and some concluding remarks are stated.

References

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Keywords

Fuzzy Graph, Fuzzy Tolerance, Heuristic Possibilistic Clustering, Fuzzy Cluster, Allotment, Tolerance Threshold, Typical Point.