儿童理解程度副词的特征

本实验用模糊数学方法研究4—9岁儿童对程度副词的理解特征。结果说明9岁儿童的理解达到了成熟水平;幼儿偏向于夸大理解程度副词的词义;7、8岁是发展的转折期。     

On the Determination of Minimal Facets and Edges of a Polyhedral Set

In this paper we investigate the image of a polyhedral set under a linear map. Moreover, we present an algorithm for the determination of so-called minimal facets and certain minimal irredundant proper edges of a convex polyhedral set in ℝ³. © 1997 John Wiley & Sons, Ltd.     

A Common Abstraction of MV-Algebras and Abelian l-groups

We investigate the class of strongly distributive pregroups, a common abstraction of MV-algebras and Abelian l-groups which was introduced by E.Casari. The main result of the paper is a representation theorem which yields both Chang's representation of MV-algebras and Clifford's representation of Abelian l-groups as immediate corollaries.     

When “decoy effect” meets gender bias: The role of choice set composition in hiring decisions

A large body of research has found evidence that hiring decisions are frequently subject to strong gender bias and has explored factors that help to predict and prevent such a bias from occurring. In this paper, we explore a novel factor that has received only little attention: the composition of the choice set. Drawing on prior research on the attraction effect of decoys in consumer choice and personnel decisions, we posit that when decision makers need to decide whether to hire a male or a female applicant for a stereotypically male position, the presence of a third applicant whose profile is asymmetrically dominated by one of the two applicants can in many circumstances strongly increase the odds that the male applicant will be selected, but will not be beneficial for the female applicant. We test our hypotheses in five experimental studies with different designs, experimental settings, and participant pools—including managers with professional experience in hiring decisions. Our results provide robust evidence demonstrating the strong effects of choice set composition on the emergence of gender bias. In addition, we found that the presence of asymmetrically dominated applicants makes decision makers more confident in their biased decisions and more likely to implement them immediately without searching for further information. Finally, our results also provide some initial evidence that our results for stereotypically male positions will be reversed when hiring decisions are made for stereotypically female positions where the presence of decoys instead gives an advantage to female over male applicants.     

An examination of indexes for determining the number of clusters in binary data sets

The problem of choosing the correct number of clusters is as old as cluster analysis itself. A number of authors have suggested various indexes to facilitate this crucial decision. One of the most extensive comparative studies of indexes was conducted by Milligan and Cooper (1985). The present piece of work pursues the same goal under different conditions. In contrast to Milligan and Cooper's work, the emphasis here is on high-dimensional empirical binary data. Binary artificial data sets are constructed to reflect features typically encountered in real-world data situations in the field of marketing research. The simulation includes 162 binary data sets that are clustered by two different algorithms and lead to recommendations on the number of clusters for each index under consideration. Index results are evaluated and their performance is compared and analyzed.Author names are listed in alphabetical order.This piece of research was supported by the Austrian Science Foundation (FWF) under grant SFB#010 (Adaptive Information Systems and Modeling in Economics and Management Science).The authors would like to thank the anonymous reviewers and especially the associate editor for their helpful comments and suggestions.     

Fuzzy partition models for fitting a set of partitions

Methodology is described for fitting a fuzzy consensus partition to a set of partitions of the same set of objects. Three models defining median partitions are described: two of them are obtained from a least-squares fit of a set of membership functions, and the third (proposed by Pittau and Vichi) is acquired from a least-squares fit of a set of joint membership functions. The models are illustrated by application to both a set of hard partitions and a set of fuzzy partitions and comparisons are made between them and an alternative approach to obtaining a consensus fuzzy partition proposed by Sato and Sato; a discussion is given of some interesting differences in the results.We are grateful to Dr. M.G. Pittau for carrying out the analyses of the macroeconomic data using the method of Sato and Sato (1994).     

Set-Theoretic Absoluteness and the Revision Theory of Truth

We describe the solution of the Limit Rule Problem of Revision Theory and discuss the philosophical consequences of the fact that the truth set of Revision Theory is a complete 1/2 set.     

On Consistent Subsets of Large Sets of Satisfiable Sentences

We extend some results of Adam Kolany to show that large sets of satisfiable sentences generally contain equally large subsets of mutually consistent sentences. In particular, this is always true for sets of uncountable cofinality, and remains true for sets of denumerable cofinality if we put appropriate bounding conditions on the sentences. The results apply to both the propositional and the predicate calculus. To obtain these results, we use delta sets for regular cardinals, and, for singular cardinals, a generalization of delta sets. All of our results are theorems in ZFC.     

应用层次析分法和模糊综合评判研究保健品消费心理

将层次分析方法与模糊综合评判理论相结合,以营养成分、包装情况、价格因素、广告宣传、售后服务为一级评判指标,以保健品专卖店、大型超市、小型超市、杂货店、厂家邮购五种销售渠道为二级评价指标,给出一种模糊判断的权重计算方法,建立了保健品消费心理的层次模糊决策模型。应用该模型对长春地区消费者的保健品消费心理进行了测试,结果表明：测试结果与实际销售情况相符。说明应用该方法建立起来的模型在了解消费者对保健品的消费心理方面是可行的,同时也为新型保健品的开发和市场推广提供了一定的依据。