By comparing the results derived in Section 3, it can be found that the optimality for the set criterion and vector criterion, with the suitable conditions, possesses the same forms in terms of Studniarshi derivatives.
The amplitude and phase error caused in I/Q channels are measured by another criteria error vector magnitude (EVM) as it is shown in Figure 6.
Only quiet-time, night-side data were selected according to the CHAOS-4 criteria, and vector data were used only up to 55° degrees quasi-dipole latitude; at high latitudes, scalar intensity data were used.
The criteria weight vector w ˜ = (w ˜ 1, …, w ˜ i, …, w ˜ n ) t can be obtained using each of the criterion weightings (w ˜ i ) derived by the FAHP, while the fuzzy performance/evaluation matrix E ˜ for each of the alternatives can be obtained from the fuzzy performance value of each alternative under n criteria, that is, E ˜ = (e k i ) m × n.
Finally, for both criteria, the vectors are scaled as follows: α m = p m u m 2 2. The power distribution can be designed to satisfy different criteria without violating the constraint ∑ m = 0 M − 1 p m ≤ P S, where P S denotes the maximum power that can be assigned to one multicarrier symbol.
Firstly, the present study and previous data [33] indicated that the correct use of deltamethrin ITNs was followed by a considerable decrease of P. falciparum parasitaemia, the current WHO criterion for vector control efficacy [13].
Polynomials were fitted by a least-squares criterion using vectors,,, which are polynomial functions of the variable, to represent all muscle fibre paths: (1).
The vector criterion and set criterion are two defining approaches of solutions for the set-valued optimization problems.
Inspired by the above observations, in this paper, the optimality conditions are established for problem (P) in both the vector criterion and set criterion by using Studniarski derivatives.
In Section 3 and Section 4, the necessary and sufficient optimality conditions are given in the sense of the vector criterion and set criterion, respectively.
