Ordinal Sorting Research Articles

Profiling children's emotion regulation behaviours.

Callear, Harvey, and Bimler (2016, International Journal of Behavioral Development, 41, 456) organized children's emotion regulation behaviours into a coherent structure. However, further investigation is needed to identify core patterns of these emotion regulation behaviours. To identify clusters and prototypal constellations of emotion regulation behaviours, the 85 behavioural items comprising the Children's Emotion Regulation Inventory (ChERI) were ranked by 151 parents in order of applicability, using an ordinal sorting procedure (Method of Successive Sorts). Responses were aggregated in empirical scales, for classification of the cases using hierarchical and k-means clustering. The scales were based on nine key 'hotspots' of children's emotion regulation behaviours, interpreted as Outward Engagement, Inward or Somatic Focus, Disengagement, Disruptive, Impulsive/Labile, Social Connectedness/Compliance, Generating Closeness/Intimacy, Establishing Order and Generating Disorder. Five summary styles of children's emotion regulation emerged and are characterized on those scales. These hotspots and styles provide guidance to clinicians, parents, teachers, and other invested adults to assess and support children's emotional development. Statement of contribution What is already known on this subject? Measurements of children's emotion regulation predominantly focus on internal processes and/or isolated expressions of emotion regulation behaviours. Research detailing anger and anxiety emotion regulation styles exists (e.g., Carthy, Horesh, Apter, & Gross, 2010, Journal of Psychopathology and Behavioral Assessment, 32, 23; Zalewski, Lengua, Wilson, Trancik, & Bazinet, 2011, Journal of Experimental Child Psychology, 110, 141). Callear, Harvey, and Bimler (2016, International Journal of Behavioral Development, 41, 456) developed the Children's Emotion Regulation Inventory to identify children's observable emotion regulation strategies. What does this study add? Research does not investigate which clusters of children's emotion regulation behaviours are most commonly exhibited and nor does it investigate emotion regulation behavioural styles. Examines how children's emotion regulation behaviours co-occur. Identifies nine core clusters (groupings) of emotion regulation behaviours most commonly observed to be exhibited in children. Identifies five emotion regulation behavioural styles (common co-occurring patterns of emotion regulation behaviour clusters) in children.

SINGLE-LAYER PERCEPTRON WITH NON-ADDITIVE PREFERENCE INDICES AND ITS APPLICATION TO BANKRUPTCY PREDICTION

Preference Ranking Organization METHods for Enrichment Evaluations (PROMETHEE), based on outranking relation theory, are used extensively in Multi-Criteria Decision Aid (MCDA). In PROMETHEE, an overall preference index based on weighted average aggregation represents the intensity of preference for one pattern over another pattern and can be measured by a given preference function. Unfortunately, as the criteria making up the patterns are not always independent, the assumption of additivity among single-criterion preference indices may not be reasonable. This paper develops a novel PROMETHEE-based perceptron using nonadditive preference indices for ordinal sorting problems. The applicability of the proposed non-additive PROMETHEE-based single-layer perceptron (SLP) to bankruptcy prediction is examined by using a sample of 53 publicly traded, Taiwanese firms that encountered financial failure between 2000 and 2008. The proposed model performs well compared to PROMETHEE with additive preference indices and other additive PROMETHEE-based classification approaches.

A PROMETHEE-based classification method using concordance and discordance relations and its application to bankruptcy prediction

Outranking relation theory has been widely used to study pattern classification. Here we propose a classification method with concepts from the flows used in PROMETHEE methods, which are extensively applied in multi-criteria decision aids. PROMETHEE uses a flow, generated on the basis of a preference index and measured by various preference functions for each criterion, to represent the preference intensity for one pattern over another pattern. However, only criteria that are concordant with the preference contribute to a preference index. In the present study, the opinions from discordant criteria are also taken into account. The proposed method newly defines an overall preference index using both concordance and discordance relations for ordinal sorting problems. The final classification decision for a new pattern depends on its net flow. The criteria weights are determined using a genetic-algorithm-based approach. Empirical results obtained for a real-world problem regarding bankruptcy prediction demonstrate that the proposed method performs well compared to other well-known classification methods.

An algorithm for ordinal sorting based on ELECTRE with categories defined by examples

This work proposes a Progressive Assisted Sorting Algorithm (PASA) based on a multicriteria evaluation ELECTRE-type method. The purpose of the PASA is to aid a decision maker to progressively sort a set of alternatives into a set of categories, which we considered are ordered (ordinal sorting), following a consistency principle. We consider the principle that if an alternative outranks (is as good as) a second one, then it must belong to the same category or to a better category. The set of alternatives already sorted by the decision maker will implicitly define the categories, and will constrain the range of categories where other alternatives may be sorted. We show how the same idea may be used in an aggregation/disaggregation approach, considering some parameters of ELECTRE are not fixed a priori, but are constrained only by the examples provided. In this context, we establish a convex-shape property stating that the range of possible categories for an alternative is always an interval of categories. A discussion contrasting this approach with ELECTRE TRI is included in the conclusions.

An ordinal sorting method for group decision-making

Several group decision-making methods were proposed with the aim to establish, from individual opinions, a collective one. However, the literature review of such methods show that, until now, few of them accept individual preferences expressed in partial pre-orders or, more generally, in preferences relational systems (p.r.s.). In addition, the majority of these methods produce a ranking on the alternative set, i.e. they concern the ranking decision-making problematic. In fact, the efforts provided to develop methods which treat, for example, the sorting problematic, remain insufficient. For these reasons, we propose in this paper an ordinal sorting method which determines, from individual p.r.s., at least one collective assignment which takes into account the relative importance of the members. If there is more than one collective assignment, an interactive procedure to reach a consensus assignment is proposed.

Sorting multi-attribute alternatives: The TOMASO method

We analyze a recently proposed ordinal sorting procedure (T OMASO) for the assignment of alternatives to graded classes and we present a freeware constructed from this procedure. We illustrate it by two examples, and do some testing in order to show its usefulness.

North—South Patterns within Arboreal Ant Assemblages from Rain Forests in Eastern Australia1

ABSTRACTThis paper describes the ant assemblages sampled from rain forest canopies ranging from southern Victoria through to Cape York Peninsula, Australia, and also in Brunei. Specifically, it examines the influence of decreasing latitude and variations in elevation on the character, richness, and abundance of the arboreal rain forest ant fauna, and also the relative contribution of ants to the total arthropod community. The sites that were examined included: cool temperate Nothofagus cunninghamii forest from a range of locations in Victoria; cool temperate N. moorei forest at both Werrikimbe and Styx River, New South Wales; notophyll vine forest in Lamington National Park, southeast Queensland; high elevation notophyll vine forest in Eungella National Park, central Queensland; complex notophyll vine forest at Robson Creek, Atherton Tablelands, north Queensland; complex mesophyll vine forest at Cape Tribulation, north Queensland; and mixed dipterocarp forest in Brunei. Although these sites represent a gradient increasingly tropical in character, botanically speaking, Eungella is less tropical than Lamington because of its high elevation. All samples were obtained by fogging the canopy with a rapid‐knockdown pyrethrin pesticide. In all cases, circular funnels were suspended beneath the foliage of individual trees or small plots of mixed canopy. Arthropods were collected four hours after fogging. Following ordinal sorting, ants were identified and counted to morphospecies level. The resulting catch were then standardized across sites as numbers caught per 0.5 m2 sampling funnel. Generic and species richness were higher at the lowland tropical Cape Tribulation sites than at the sites to the south and was comparable with values in the Brunei site. Species richness was negatively correlated with latitude and elevation. Within the Australian rain forest, the lowland/highland break appears to be the strongest predictor of ant relative abundance, with a weaker latitudinal relationship superimposed.

North–South Patterns within Arboreal Ant Assemblages from Rain Forests in Eastern Australia1

This paper describes the ant assemblages sampled from rain forest canopies ranging from southern Victoria through to Cape York Peninsula, Australia, and also in Brunei. Specifically, it examines the influence of decreasing latitude and variations in elevation on the character, richness, and abundance of the arboreal rain forest ant fauna, and also the relative contribution of ants to the total arthropod community. The sites that were examined included: cool temperate Nothofagus cunninghamii forest from a range of locations in Victoria; cool temperate N. moorei forest at both Werrikimbe and Styx River, New South Wales; notophyll vine forest in Lamington National Park, southeast Queensland; high elevation notophyll vine forest in Eungella National Park, central Queensland; complex notophyll vine forest at Robson Creek, Atherton Tablelands, north Queensland; complex mesophyll vine forest at Cape Tribulation, north Queensland; and mixed dipterocarp forest in Brunei. Although these sites represent a gradient increasingly tropical in character, botanically speaking, Eungella is less tropical than Lamington because of its high elevation. All samples were obtained by fogging the canopy with a rapid-knockdown pyrethrin pesticide. In all cases, circular funnels were suspended beneath the foliage of individual trees or small plots of mixed canopy. Arthropods were collected four hours after fogging. Following ordinal sorting, ants were identified and counted to morphospecies level. The resulting catch were then standardized across sites as numbers caught per 0.5 m2 sampling funnel. Generic and species richness were higher at the lowland tropical Cape Tribulation sites than at the sites to the south and was comparable with values in the Brunei site. Species richness was negatively correlated with latitude and elevation. Within the Australian rain forest, the lowland/highland break appears to be the strongest predictor of ant relative abundance, with a weaker latitudinal relationship superimposed.