Component Models for Fuzzy Data

The fuzzy perspective in statistical analysis is first illustrated with reference to the “Informational Paradigm” allowing us to deal with different types of uncertainties related to the various informational ingredients (data, model, assumptions). The fuzzy empirical data are then introduced, referring to J LR fuzzy variables as observed on I observation units. Each observation is characterized by its center and its left and right spreads (LR₁ fuzzy number) or by its left and right “centers” and its left and right spreads (LR₂ fuzzy number). Two types of component models for LR₁ and LR₂ fuzzy data are proposed. The estimation of the parameters of these models is based on a Least Squares approach, exploiting an appropriately introduced distance measure for fuzzy data. A simulation study is carried out in order to assess the efficacy of the suggested models as compared with traditional Principal Component Analysis on the centers and with existing methods for fuzzy and interval valued data. An application to real fuzzy data is finally performed. We would like to express our gratitude to the Editor, the Associate Editor, and the Referees whose comments and suggestions improved significantly the quality of the paper.     

Within my breast, alas, two souls ...

The obsession is pursued of a word, a sign, a thought that is identical with the thing it signifies, where there is no space between the two. And the nightmare is entertained that, if such an identity is not attained, then intellectual work in general is worth nothing and should be destroyed.     

First-Order Theories of Orthogonality Structures

We investigate certain aspects of the first-order theory oforthogonality structures - structures consisting of a domainof lines subject to a binary orthogonality relation. In particular,we establish definitions of various geometric and algebraicnotions in terms of orthogonality, describe the constructionof extremal subspaces using orthogonality, and show that thefirst-order theory of line orthogonality in the Euclidean n-spaceis not ₀-categorical for n 3.     

THE ROLE OF CONSCIOUSNESS AS MEANING MAKER IN SCIENCE, CULTURE, AND RELIGION

Two hundred years ago, Friedrich Schleiermacher took critical issue with Immanuel Kant's intellectual notion of intuition as applied to human nature (Wellmon 2006). He found it necessary to modify—"hermeneutically," as he said—Kant's notion of anthropology by enabling it to include as human the new and strange human tribes Captain Cook found in the Pacific South Seas. A similar hermeneutic move is necessary if physics is to include the local contextual empirical syntheses of relativity and quantum physics. In this hermeneutical revision the synthesis is formed around the notion of a Hilbert Vector Space as the universal grammar of physics, adding to it the dynamic of the Schrödinger equation, and representing empirical "observables" by projection operators that map the subspaces of definite measurable values. Among the set of observable projection operators, some pairs share the same subspace, commute with one another, and share a common laboratory setting. Other pairs do not share this property and are described as being mutually complementary. Complementary symmetries introduce into the discursive language of physics the commonsense notion of contextuality. The new synthesis, proposed by Eugene Wigner, John von Neumann, and (in his own way) Paul Dirac, brought physics into the community of common language and established it as a work of general human achievement. ¹     

Spontaneous trait inference and construal level theory: Psychological distance increases nonconscious trait thinking

Can psychological distance affect how much perceivers form spontaneous trait inferences (STI) from others’ behaviors? On the basis of construal level theory (CLT) which posits that distant (vs. near) entities are represented more in terms of their abstract, global, and decontextualized features, we predicted that perceived distance would increase the tendency for perceivers to draw spontaneous trait inferences from behavioral information about actors. In two experiments, participants learned about people who were perceived as being distant or proximal to the self, and STI formation was subsequently assessed. We found that perceivers were more likely to form STIs about distant vs. near actors from the same behavioral information. These findings generalized across two distance dimensions: space and time. In addition, we found that priming individuals to adopt a high-level (vs. low-level) construal mindset also resulted in increased STI (Experiment 3). In sum, psychological distance facilitates STI formation, and this occurs via high-level construal of actors and their behaviors.     

Determinants of reinforcer accumulation during an operant task.

Responses by rats on an earn lever made available food pellets that were delivered to a food cup by responses on a second, collect, lever. The rats could either collect and immediately consume or accumulate (defined as the percentage of multiple earn responses and as the number of pellets earned before a collect response) earned pellets. In Experiment 1, accumulation varied as a function of variations in the earn or collect response requirements and whether the earn and collect levers were proximal (31 cm) or distal (248 cm) to one another. Some accumulation occurred under all but one of the conditions, but generally was higher when the earn and collect levers were distal to one another, particularly when the earn response requirement was fixed-ratio (FR) 1. In Experiment 2, the contributions of responses and time to accumulation were assessed by comparing an FR 20 earn response requirement to a condition in which only a single earn response was required at the end of a time interval nominally yoked to the FR interval. When 248 cm separated the earn and collect levers, accumulation was always greater in the FR condition, and it was not systematically related to reinforcement rate. In Experiment 3, increasing the earn response requirement with a progressive-ratio schedule that reset only with a collect response increased the likelihood of accumulation when the collect and earn levers were 248 cm apart, even though such accumulation increased the next earn response requirement. Reinforcer accumulation is an understudied dimension of operant behavior that relates to the analysis of such phenomena as hoarding and self-control, in that they too involve accumulating versus immediately collecting or consuming reinforcers.     

Perceived distance of targets in convex mirrors

We investigated the perceived distance of targets in convex and plane mirrors. In Experiment 1, 20 subjects matched the distance of targets in a real scene to the distance of a virtual target in different mirrors. The matched distances were much larger for convex mirrors than for a plane mirror. In Experiment 2, 20 subjects viewed two targets in a mirror and adjusted their own positions so that the distance to the closer target was perceived to equal the distance between the targets. The mean distance to the closer target was smaller for the convex mirrors than for the plane mirror. In Experiment 3, 20 subjects adjusted the position of a target so that the distance to it in a mirror was perceived to equal the distance designated by the experimenter. The best-fitting power functions showed that the scaling factors were larger for the convex mirrors than for the plane mirror, but the exponents were smaller for the convex mirrors than for the plane mirror. It is suggested that distance in the convex mirrors was perceived to be larger than in the plane mirror, and that the growth of perceived distance in the convex mirrors was slower than in the plane mirror.     

道德领导与员工建言：一个调节-中介模型的构建与检验

近年来, 研究者就如何激发员工公开讲出自己的观点、意见和问题进行了大量的探索。其中, 道德领导对员工建言的效应受到了越来越多研究的关注。在以往研究的基础上, 本研究构建了一个调节-中介模型以探讨道德领导影响员工建言的中介心理机制及其边界条件。根据社会交换理论和社会信息加工理论, 本文分别提出两种不同的中介变量-- 责任知觉和心理安全感-- 来解释道德领导与员工建言之间的关系。在此基础上, 本研究进一步假设权力距离会正向调节变量之间的间接关系。通过对某一零售企业239名员工的两阶段调查, 我们对以上研究假设进行了检验, 结果总体上支持了本研究的理论预期。本研究的发现有利于我们了解道德领导影响建言行为的心理机制, 指导管理者采取有针对性的措施, 以期有效地管理企业中的员工建言行为。     

时间距离对于验证性信息加工的影响

研究基于解释水平理论考察时间距离对于验证性信息加工的影响, 即在个体和组织决策情境中, 人们倾向于偏好选择和高估与自身观点和决策相一致的信息, 而不是非一致性信息。通过4个情境决策实验, 研究结果一致表明近期决策会提高信息搜寻和评估中的验证偏差, 而远期决策会降低它们的验证偏差, 知觉到的决策确定性在其中起到部分中介作用(实验1b)。解释水平(实验2)和期许性/可行性表征(实验3)分别在时间距离对验证性信息加工的影响中起到调节作用, 结果依次表明在低解释水平(高可行性-低期许性特征)条件下, 时间距离与验证性信息加工的负相关关系会得到显著增强, 而在高解释水平(高期许性-低可行性特征)条件下, 时间距离与验证性信息加工的负相关关系会得到显著降低。     

得失情境下他人参照点及心理距离对自我-他人利益权衡的影响

以福利权衡率(WTR)为利他程度的指标,通过3个实验逐步深入地考察了得失情境下他人参照点及心理距离对自我-他人利益权衡的影响。实验1的结果表明,得失情境并未改变被试的WTR。实验2引入他人底线、现状和目标三个参照点变量,发现被试获益情境下的WTR高于损失情境,且WTR从高到低依次为他人临近底线、目标和现状;他人临近底线时,被试在获益情境下的WTR高于损失情境,而他人临近现状和目标时,个体在得失情境下的WTR无显著差异。实验3进一步引入心理距离变量,发现心理距离较近他人的WTR高于较远他人,且与得失情境和参照点发生了复杂的交互效应,得失情境的主效应消失了,但总体上并未改变实验2发现的参照点效应。这些结果对于更深入地理解得失不对称效应、三参照点理论及社会折扣和自我-他人决策差异研究的相关发现具有一定的启示意义。