Trillas, Enric; Alsina, Claudi A reflection on what is a membership function. (English) Zbl 0968.28013 Mathware Soft Comput. 6, No. 2-3, 201-215 (1999). 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. Reviewer: B.Riečan (Bratislava) Cited in 6 Documents MSC: 28E10 Fuzzy measure theory 03E72 Theory of fuzzy sets, etc. Keywords:membership function; partial ordering PDFBibTeX XMLCite \textit{E. Trillas} and \textit{C. Alsina}, Mathware Soft Comput. 6, No. 2--3, 201--215 (1999; Zbl 0968.28013) Full Text: EuDML