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The preference values for 42 core health states were elicited using time trade-off (TTO) methods.
The channel members' utilities increase with their social preference value.
After determining the initial triplet of preferences, the preference value is updated based on the golden section search to find the final preference value.
The final preference value is p r=ϕ c if E>E(ϕ c), and the final preference value is p r=ϕ if E<E(ϕ c).
Before the actual calculation is begun, the proposed system assigns preference values to the tasks.
It was computed from expert preference values using equations (1) and (2).
The golden section search narrows successively the search interval of preference value by updating the triplet of preferences.
The expected values of the normalised fuzzy sets are determined to identify the preference values of the alternative machines.
The retail price decreases with the manufacturer's social preference value and increases with that of the retailer.
Otherwise, modify the lower and upper preference values of both level DMs and go to Step 17.
Before beginning the golden section search, the value of preference changes with the moving rate of ρ to obtain the initial search interval of preference value to find the optimal value of p. The search interval of preference value is represented by the preference triplet (ϕ min,ϕ c,ϕ max).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com