an:01274625
Zbl 0920.04010
Hong, Dug Hun; Hwang, Changha
A \(T\)-sum bound of LR-fuzzy numbers
EN
Fuzzy Sets Syst. 91, No. 2, 239-252 (1997).
00056055
1997
j
03E72
fuzzy arithmetic; \(t\)-norm based addition; \(T\)-sum of LR-fuzzy numbers; membership function of a \(T\)-sum; upper bound; lower bound
Summary: We provide an upper bound and a lower bound of the \(T\)-sum of LR-fuzzy numbers with different spreads, where \(T\) is an Archimedean \(t\)-norm, and show in three examples how close they are to actual membership functions. Furthermore, we study when the membership function of a \(T\)-sum achieves the upper bound.