Abstract
In this paper, a degenerated fuzzy-number processing system based on artificial neural networks (ANNs) is introduced. The digital representation of fuzzy numbers is assumed, where the universe of discourse is discretized into n equally divided intervals. It is proposed that fuzzy-number processing be performed in two basic stages. The first stage performs the retrieval of fuzzy data consisting of degenerated fuzzy numbers and the second stage performs the desired fuzzy operations on the retrieved data. The method of incomplete fuzzy-number retrieval is proposed based on an ANN structure that is trained to estimate the missing membership function values.
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