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An efficient and flexible mechanism for constructing membership functions. (English) Zbl 1010.03525

Summary: This paper introduces a Bézier curve-based mechanism for constructing membership functions of convex normal fuzzy sets. The mechanism can fit any given data set with a minimum level of discrepancy. In the absence of data, the mechanism can be intuitively manipulated by the user to construct membership functions with the desired shape. Some numerical experiments are included to compare the performance of the proposed mechanism with conventional methods.

MSC:

03E72 Theory of fuzzy sets, etc.
65D05 Numerical interpolation
94A17 Measures of information, entropy
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