Kolesárová, Anna Triangular norm-based addition of linear fuzzy numbers. (English) Zbl 0851.04005 Tatra Mt. Math. Publ. 6, 75-81 (1995). Summary: The addition of linear fuzzy numbers based on triangular norms is studied. In the case of continuous Archimedean \(t\)-norms with strictly convex generators a necessary and sufficient condition for linearity of the \(t\)-norm-based sum is given. Cited in 2 ReviewsCited in 33 Documents MSC: 03E72 Theory of fuzzy sets, etc. Keywords:continuous Archimedean \(t\)-norms; linearity of the \(t\)-norm-based sum; addition of linear fuzzy numbers; triangular norms PDFBibTeX XMLCite \textit{A. Kolesárová}, Tatra Mt. Math. Publ. 6, 75--81 (1995; Zbl 0851.04005)