A global algorithm for the fuzzy clustering problem

Khaled S. Al-Sultan; Shokri Z. Selim

doi:10.1016/0031-3203(93)90141-I

A global algorithm for the fuzzy clustering problem

Khaled S. Al-Sultan^*, Shokri Z. Selim

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

88 Scopus citations

Abstract

The Fuzzy clustering (FC) problem is a non-convex mathematical program which usually possesses several local minima. The global minimum solution of the problem is found using a simulated annealing-based algorithm. Some preliminary computational experiments are reported and the solution is compared with that generated by the Fuzzy C-means algorithm.

Original language	English
Pages (from-to)	1357-1361
Number of pages	5
Journal	Pattern Recognition
Volume	26
Issue number	9
DOIs	https://doi.org/10.1016/0031-3203(93)90141-I
State	Published - Sep 1993

Keywords

Continuous simulated annealing
Fuzzy C-means algorithm
Fuzzy clustering
Global optimization
Non-convex programming

ASJC Scopus subject areas

Software
Signal Processing
Computer Vision and Pattern Recognition
Artificial Intelligence

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10.1016/0031-3203(93)90141-I

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title = "A global algorithm for the fuzzy clustering problem",

abstract = "The Fuzzy clustering (FC) problem is a non-convex mathematical program which usually possesses several local minima. The global minimum solution of the problem is found using a simulated annealing-based algorithm. Some preliminary computational experiments are reported and the solution is compared with that generated by the Fuzzy C-means algorithm.",

keywords = "Continuous simulated annealing, Fuzzy C-means algorithm, Fuzzy clustering, Global optimization, Non-convex programming",

author = "Al-Sultan, \{Khaled S.\} and Selim, \{Shokri Z.\}",

year = "1993",

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AU - Al-Sultan, Khaled S.

AU - Selim, Shokri Z.

PY - 1993/9

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N2 - The Fuzzy clustering (FC) problem is a non-convex mathematical program which usually possesses several local minima. The global minimum solution of the problem is found using a simulated annealing-based algorithm. Some preliminary computational experiments are reported and the solution is compared with that generated by the Fuzzy C-means algorithm.

AB - The Fuzzy clustering (FC) problem is a non-convex mathematical program which usually possesses several local minima. The global minimum solution of the problem is found using a simulated annealing-based algorithm. Some preliminary computational experiments are reported and the solution is compared with that generated by the Fuzzy C-means algorithm.

KW - Continuous simulated annealing

KW - Fuzzy C-means algorithm

KW - Fuzzy clustering

KW - Global optimization

KW - Non-convex programming

UR - https://www.scopus.com/pages/publications/0027658607

U2 - 10.1016/0031-3203(93)90141-I

DO - 10.1016/0031-3203(93)90141-I

M3 - Article

AN - SCOPUS:0027658607

SN - 0031-3203

VL - 26

SP - 1357

EP - 1361

JO - Pattern Recognition

JF - Pattern Recognition

IS - 9

ER -

A global algorithm for the fuzzy clustering problem

Abstract

Keywords

ASJC Scopus subject areas

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