Necessary and sufficient conditions for the equality of interactive and non-interactive extensions of continuous functions

Towards the properties of fuzzy multiplication for fuzzy numbers

“…Another approach in constructing binary operations with fuzzy numbers is based on the use of T-norms (see [20] and [38]) having applications in Possibility Theory. Algebraic properties of operations with interactive fuzzy numbers are presented in [6] and [7]. Arithmetic operations for fuzzy numbers with shape preserving properties are introduced in [18].…”