an:01330559
Zbl 0934.03064
Koles??rov??, Anna
Triangular norm-based addition preserving linearity of \(T\)-sums of linear fuzzy intervals
EN
Mathware Soft Comput. 5, No. 1, 91-98 (1998).
00046496
1998
j
03E72 26E50 65G30
fuzzy number; L-R number; trapezoidal number; triangular norm; fuzzy arithmetic
The paper examines triangular norm-based addition of trapezoidal fuzzy numbers [cf. \textit{A. Markov??}, Fuzzy Sets Syst. 85, No. 3, 379-384 (1997; Zbl 0904.04007), \textit{R. Mesiar}, Fuzzy Sets Syst. 86, No. 1, 73-78 (1997; Zbl 0921.04002)]. Families of t-norms are described such that the result of this addition is also a trapezoidal fuzzy number (e.g. every t-norm less than the ??ukasiewicz t-norm).
J.Drewniak (Katowice)
Zbl 0904.04007; Zbl 0921.04002