A necessary condition for solvability of fuzzy arithmetic equationswith triangular norms

摘要

This paper treats a fuzzy arithmetic equation based onsup-(t-norm) convolution. The authors have investigated the propertiesof the procedure to solve the equation (i.e. inf- Φ convolution) anddiscussed its solvability. A necessary condition for solving theequations involving addition and multiplication has been derived as themain result of this work