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The golden section search narrows successively the search interval of preference value by updating the triplet of preferences.
Price interval of preference: the interval of the price of the goods that the buyer agent is going to buy.
For example, considering the feature price interval of preference of seller agent in an e-commerce application.
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).
After finding the initial preference triplet, the preference triplet is iteratively updated based on the golden section search to narrow the search interval of preference value by evaluating the total power consumption at a new value in the search interval, namely ϕ.
Similar(55)
Furthermore, VAS scores are prone to bias and do not use an interval scale of preference [ 21, 22].
In order to reflect different preferences of different decision makers, in this section we first introduce the concept of the preference level that the interval objective function is preferred to a target interval in light of preference-based index in [28].
Hafezalkotob and Hafezalkotob (2017) used the interval target-based norm and also considered the concept of degree of preference of interval numbers in order to rank these numbers.
Furthermore, we use a pairwise preference matrix based on the concept of degree of preference of interval numbers to calculate the maximum, minimum, and ranking of these numbers.
In this paper we present a general framework for the comparison of intervals when preference relations have to established.
Additionally, if the leading decision maker's interval multiplicative preference relation P and each of interval multiplicative preference relations R(1),R(2),…,R(m) are of acceptable compatibility, then P and the collective judgement matrix (CJM) of R(1),R(2),…,R(m) are of acceptable compatibility.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com