Theorem 2.9 (Decomposition theorem).
(Decomposition theorem of time scales).
[10] (Generalized orthogonal decomposition theorem).
which is just Riesz orthogonal decomposition theorem.
We could apply the biorthogonal decomposition theorem to the two-component system (i) α, or (ii) β or (iii) χ.
Their membership functions are eventually reconstructed from the fuzzy decomposition theorem.
The key tool used in our answer is a powerful decomposition theorem.
Healey (1989) was also among the first to make use of the biorthogonal decomposition theorem, developing these ideas in a somewhat different direction.
In Healey's proposal, the biorthogonal decomposition theorem is used, but the set of possible properties is subsequently modified in order to fulfill a variety of desiderata.
The eventual fuzzy interval frequency responses are reconstructed by the interval union operation and fuzzy decomposition theorem.
Based on the fuzzy decomposition theorem, the fuzzy solutions to the original uncertain heat conduction problem are eventually derived.
