an:01274624
Zbl 0919.04011
Mesiar, Radko
Triangular-norm-based addition of fuzzy intervals
EN
Fuzzy Sets Syst. 91, No. 2, 231-237 (1997).
00056055
1997
j
03E72
addition of fuzzy numbers; extension principle; triangular norm; fuzzy arithmetic; addition of fuzzy intervals; extended real line; addition of shapes; limit t-norms; Archimedean t-norms
Summary: Triangular-norm-based addition of fuzzy intervals on the extended real line is reduced to the addition of shapes on \([0,\infty]\). The addition of fuzzy intervals, including \(LR\)-fuzzy intervals, \(LR\)-fuzzy numbers, \(LT\)- and \(TR\)-fuzzy numbers, based on limit t-norms is recalled. For continuous Archimedean t-norms, special types of incoming summands allowing the exact output computation are introduced. Several examples are given.