Triangular norm-based addition preserving linearity of \(T\)-sums of linear fuzzy intervals. (English) Zbl 0934.03064

Kolesárová, Anna

Mathware Soft Comput. 5, No. 1, 91-98 (1998).

The paper examines triangular norm-based addition of trapezoidal fuzzy numbers [cf. A. Marková, Fuzzy Sets Syst. 85, No. 3, 379-384 (1997; Zbl 0904.04007), 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 Łukasiewicz t-norm).

Reviewer: J.Drewniak (Katowice)

MSC:

03E72	Theory of fuzzy sets, etc.
26E50	Fuzzy real analysis
65G30	Interval and finite arithmetic

Keywords:

fuzzy number; L-R number; trapezoidal number; triangular norm; fuzzy arithmetic

Citations:

Zbl 0904.04007; Zbl 0921.04002