An evaluation of the eigenvalue approach for determining the membership values in fuzzy sets
Fuzzy Sets and Systems
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Journal of Optimization Theory and Applications
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Proceedings of the sixth international workshop on Machine learning
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Computers and Industrial Engineering
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
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Machine Learning
Evolutionary algorithms and gradient search: similarities anddifferences
IEEE Transactions on Evolutionary Computation
Fuzzy classification using the data envelopment analysis
Knowledge-Based Systems
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This paper describes and extends Saaty's eigenvalue approach to fuzzy membership determination. A genetic algorithm-based procedure is adopted to minimize the failure rates in fuzzy membership determination using Saaty's eigenvalue approach. The proposed method is then extended to develop an aggregate fuzzy membership function using multiple decision-maker environment. A theoretical framework for understanding the magnitude of failures with the increase in the cardinality of fuzzy sets is provided.