A vast amount of indices has been proposed in the literature [1] to quantify the deviation of a pairwise comparison matrix A = (aij)n×n from the consistency property aik = aijajk ∀i, j, k. In this paper we propose a unifying approach by expressing an inconsistency index as a function of the matrix entries aij satisfying a set of suitable properties. More precisely, we first consider the ‘local’...

There is a long-standing debate on the extent of vicariance and long-distance dispersal events to explain the current distribution of organisms, especially in those with small diaspores potentially prone to long-distance dispersal. Age estimates of clades play a crucial role in evaluating the impact of these processes. The aim of this study is to understand the evolutionary history of the large...

The recent description of Indonesian and Brazilian species of Acanthotetilla motivated the onset of a phylogenic and biogeographic revision of this taxon, to figure whether it had an Atlantic or an Indo-Pacific origin, and whether a Tethyan or southern African route might have been followed. A datamatrix with 27 morphological characters and 63 character states was tabulated and run on PAUP*4.0 ...

olive is a perennial evergreen tree which has good adaptability to poor environmental conditions such as salt and drought resistance. in recent years, there is a tendency to plant olive trees in green spaces. therefore, this study was carried out to evaluate 15 olive cultivars regarding growth habit, form, and texture to recommend for landscape. six-year-old trees of 15 olive cultivars, which h...

A social network analysis (SNA) trust-consensus based group decision making model with intervalvalued fuzzy reciprocal preference relation (IFRPR) is investigated. The main novelty of this model is that it determines the importance degree of experts by combining two reliable resources: trust degree (TD) and consensus level (CL). To do that, an interval-valued fuzzy SNA methodology to represent ...

(2006) A sensitivity analysis for choosing reliability functions to select cladograms. Zoologica scripta, 00, 000-000. Different methods to select among reliability functions used in cladistics (linear parsimony and implied weights) are proposed and explored under a sensitivity analysis framework. The proposed methods are character, taxon and mixed jackknife, and fast searches. Although results...

The article deals with the study of processing quality of milk-protein concentrates obtained by ultrafiltration. Creaming ability of milk-protein concentrates obtained by ultrafiltration is inevitably associated with the presence of rehydrated proteins in its composition. With increasing temperature, the ability of proteins to absorb on the plasma-gas interface is reduced, as evidenced by a dec...

An item-fit index is a measure of how accurately a set of item responses can be predicted by the test design model. In a diagnostic assessment where items test student mastery on a cognitive model of skills, such an index is needed to determine the alignment between the item responses and skills that each item is designed to measure. In this study, we introduce the Item Consistency Index (ICI),...

An eigenvector approach to paired companions Yujin Shen 1987 A fractional design in paired comparisons is developed based on the eigenvector of the comparison matrices. Mathematical proof of this fractional design is given in Theorems 1 and 2 of Chapter 2. A concrete example from the wealth of nations is chosen to compare the results of the fractional design with the results of the complete des...