Fuzzy sets 48

0. ∪m, ∪a, ∪b and ∪d denote fuzzy union with maximum, algebraic sum, bounded sum and drastict-conorms respectively
Let A1, A2, A3 ∈ F(X). Which of the following is/are TRUE?
1. αA1αA2αA3α(A1m A2m A3)
2. αA1αA2αA3α(A1b A2b A3)
3. αA1αA2αA3α(A1a A2a A3)
4. αA1αA2αA3α(A1d A2d A3)

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