Abstract:

The goal of this paper is to give a functional relationship between the membership functions of fuzzy intervals $M_1\oplus ...\oplus M_n$ and $M_1\odot...\odot M_n$, where $M_i$ are positive $LR$ fuzzy intervals of the same form $M_i=M=(a,b,\alpha,\beta)_{LR}$ and the extended addition $\oplus $ and multiplication $\odot$ are defined in the sense of a triangular norm (i.e. via sup-t-norm convolution).