(Ä-operation) in (F_m, F_Δm) representations	Å-operation in (F_m, F_Δm) representations
4) $\begin{matrix} F_{m} (a_{i} \otimes a_{j}) = 〈 m (a_{i}, a_{j}) 〉 \\ = 〈 m (a_{i}), m (a_{j}) 〉 \end{matrix}$ $F_{m} (a_{i} \otimes a_{i}) = F_{m} (a_{i}) = m (a_{i})$	1) $\begin{matrix} F_{m} (a_{i} \oplus a_{j}) = F_{m} (a_{i}) + F_{m} (a_{j}) \\ = m (a_{i}) + m (a_{j}) \end{matrix}$ $\begin{matrix} F_{m} (a_{i} \oplus a_{i}) = F_{m} (a_{i}) + F_{m} (a_{i}) \\ = m (a_{i}) + m (a_{i}) = 2 m (a_{i}) \end{matrix}$
2) $F_{Δ m} (a_{i} \otimes a_{j}) = 0$ $F_{Δ m} {(a_{i} \otimes a_{j})}_{\oplus} \neq 0$ with ${(a_{i} \otimes a_{j})}_{\oplus} = (a_{i} \otimes a_{j}) \oplus a_{k}$	2) $\begin{array}{l} F_{Δ m} (a \oplus b \oplus c) \\ = F_{Δ m} (a) + F_{Δ m} (b) + F_{Δ m} (c) + F_{Δ m} {(a \underline{\oplus} b)}_{a b} \\ + F_{Δ m} {(a \underline{\oplus} c)}_{a c} + F_{Δ m} {(b \underline{\oplus} c)}_{b c} \end{array}$
3) $F_{Δ m} {(a_{i} \otimes a_{j})}_{\oplus} = F_{Δ m} (a_{i})$ $F_{Δ m} ((a_{i} \otimes a_{j}) \oplus a_{k}) = F_{Δ m} ((a_{i}) \oplus a_{k})$	3) $\begin{array}{l} F_{Δ m} [(a_{i} \oplus a_{j}) \oplus a_{k}] \\ = F_{Δ m} [(a_{i} \oplus a_{k}) \oplus (a_{j} \oplus a_{k})] \end{array}$
4) $\begin{array}{l} F_{m} [(a_{i 1} \otimes a_{j 2}) \oplus (a_{i 2} \otimes a_{j 1})] \\ = F_{m} [2 {(a_{i} \otimes a_{j})}_{12}] \end{array}$	4) $\begin{array}{l} F_{Δ m} [(a_{i} \otimes a_{j}) \oplus (a_{k} \otimes a_{r})] \\ = F_{Δ m} [(a_{i} \otimes a_{j}) \oplus (a_{k})] \\ + F_{Δ m} [(a_{i} \otimes a_{j}) \oplus (a_{r})] \end{array}$
5) $F_{Δ m} (2 a_{i} \otimes a_{j}) = F_{Δ m} (2 (a_{i} \otimes a_{j}))$ $\begin{array}{l} F_{Δ m} (n (a_{i} \otimes a_{j}) \oplus m (a_{k} \otimes a_{r})) \\ = (n \times m) F_{Δ m} ((a_{i} \otimes a_{j}) \oplus (a_{k} \otimes a_{r})) \end{array}$	6) $\begin{array}{l} F_{Δ m} [a_{i} \oplus a_{j}] + F_{Δ m} [a_{i} \oplus a_{k}] \\ = F_{Δ m} [a_{i} \oplus (a_{j} + a_{k})] \end{array}$