Single-Preference Consensus Measures Based on Models of Ecological Evenness

Using aggregation functions to model human judgements of species diversity

“…It could be that such factors, along with the identification of the actual species, has an influence on how people actually perceive the diversity of an ecological community. In addition to using results from aggregation functions as was undertaken here, the difference between species can also be factored into a number of existing ecological indices (an observation we made in [8]). …”

“…It is usually held (and argued in [22]) that this relationship should be multiplicative, i.e., of the form D ¼ E Â R. Richness (R) refers to the raw number of species (at the level of measurement) and so there is little debate around how it should be measured, however more and more indices have been proposed for evenness (E). The behavior of many of these evenness indices has been investigated in [20,22] (among others) and we have looked at their properties (in the context of consensus measures), particularly in terms of monotonicity and limiting behavior, in [7,8].…”

“…We hence conducted two sets of experiments whereby the weights of different aggregation functions were learnt using the linear fitting method in Eq. (8), and then the resulting functions were used to predict the responses of the each participant.…”

Application research of bel canto performance based on artificial intelligence technology

“…The AI automatically handles the delay curve and timing settings at each node. Academician Guan Xiaohong discussed the mathematical characteristics of three kinds of musical melodies under the title of Quantitative Rules in Musical Melodies and constructed a mathematical model in order to find out the extent to which they change and then obtain their variance [8].…”

Penalty-Based and Other Representations of Economic Inequality

“…Gagolewski has recently proposed the concept of spread measures 25 , which incorporates traditional measures of variation as special cases. Parallels have also been drawn between spread and the notion of disagreement (or lack of consensus) in decision making 1,5,6,14,28,31,32 and with evenness indices used in ecology 8,9 . In turn, we can observe that, historically, many traditional evenness measures were derived from inequality indices 43,44 , since the desireable property that evenness is increased with transfers of abundance from rare to more common species is one that is satisfied by the Pigou-Dalton principle proposed by Dalton 19 .…”