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- W2342263259 abstract "In some cases, a membership function μ(x) represents an unknown number, but in many other cases, it represents an unknown crisp set. In this case, for each crisp set S, we can estimate the degree μ(S) to which this set S is the desired one. A natural question is: once we know the values μ(S) corresponding to all possible crisp sets S, can we reconstruct the original membership function? In this paper, we show that the original membership function μ(x) can indeed be uniquely reconstructed from the values μ(S)." @default.
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- W2342263259 date "2016-07-01" @default.
- W2342263259 modified "2023-09-28" @default.
- W2342263259 title "Membership functions representing a number vs. representing a set: Proof of unique reconstruction" @default.
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- W2342263259 doi "https://doi.org/10.1109/fuzz-ieee.2016.7737749" @default.
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