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A reflection on what is a membership function. (English) Zbl 0968.28013

A partial ordering on a set \(S\) is given and a measure \(m:S\to [0,1]\) is considered preserving ordering and assigning 1 in the maximal element and 0 in the minimal element. Many examples are given and some open questions listed.

MSC:

28E10 Fuzzy measure theory
03E72 Theory of fuzzy sets, etc.
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