Convergence theory for fuzzy c-means: counterexamples and repairs
IEEE Transactions on Systems, Man and Cybernetics
A deterministic annealing approach to clustering
Pattern Recognition Letters
A Validity Measure for Fuzzy Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Neural Computation
Two soft relatives of learning vector quantization
Neural Networks
Pattern Recognition with Fuzzy Objective Function Algorithms
Pattern Recognition with Fuzzy Objective Function Algorithms
An application of fuzzy clustering to manufacturing cell design
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Fuzzy clustering in cell formation with multiple attributes
Computers & Mathematics with Applications
Optimal design of TS fuzzy control system based on DNA-GA and its application
LSMS'07 Proceedings of the Life system modeling and simulation 2007 international conference on Bio-Inspired computational intelligence and applications
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Several studies have used the fuzzy C-means (FCM) algorithm for part-machine grouping in cellular manufacturing. However, the application of the standard FCM algorithm to this problem has a number of drawbacks. This paper proposes a modified FCM (MFCM) algorithm that groups components and machines in parallel and through an annealing process with the weighting exponent arrives at a crisp solution and an objective function value which can be interpreted in terms of the number of voids and intercellular movements of the part-machine grouping obtained. Computational experiences show that although MFCM may sometimes require slightly more computing time than other methods, not only is it able to find better solutions but also it has higher discriminating power for determining the number of cells.