1,720,968 research outputs found
Improper Kurzweil-Henstock integral for metric semigroup-valued functions
No full textA Kurzweil-Henstock-type integral for metric semigroup-valued functions defined in (possibly unbounded) subintervals of the extended real line is investigated, and some convergence theorems are proved. We also present some example of fuzzy number and an extension of a concept of absolute continuity
On the product of M-measures in l-groups
No full textIn this paper we continue the investigation dealt with in
A. BOCCUTO - B. RIECAN, On extension theorems for M-measures in l-groups, Math. Slovaca (2008).
Starting from an extension-type existence theorem for M-measures with values in l-groups, we obtain existence results in
the countably compact case for M-measures and product of M-measures.
The motivation of this study in due to the fact that
in probability theory, in many applications it is advisable to deal with set functions, which are not necessarily additive, but satisfy other properties: for example, continuity
from below and from above for sequences of sets and "compatibility" with respect to the operations
of finite suprema and infima. These functions are called M-measures. For example, in decision making, this is the case of the theory of intuitionistic fuzzy events
(shortly IF-events), which are pairs A = (μA, nu A) of measurable functions μA, nu A : Omega -->[0, 1]
such that μA+nu A <= 1. Another application is the theory of joint random variables: in this context theM-measure extension theorem plays a crucial role in the construction of joint observables. Moreover, to consider latticegroup
or Riesz space-valued set functions allows to get applications in stochastic processes and in probabilities depending on the time and/or on the informations of the individual
Convergence and Fubini Theorems for metric semigroup-valued functions defined on unbounded rectangles
No full textWe introduce here a version of KH-integral for two-variable functions with values in metric semigroups. We obtain for it convergence results and a version of the Fubini Theorem.
In this paper we introduce the two dimensional Kurzweil-Henstock integral for metric semigroup-valued functions, defined in (not necessarily bounded) subrectangles of the extended
Cartesian plane. We prove for it convergence results both with respect to sequences of functions (convergence theorems related with equiintegrability), and with respect to increasing
families of sets (the Hake theorem). Moreover, following a line of research on double integration in the context of Riesz spaces, we give also a version of the Fubini theorem which generalizes a similar result for mappings defined in a compact subrectangle of R^2
Kurzweil-Henstock Integral in Riesz Spaces
No full textSeveral recent developments of the theory of the Kurzweil-Henstock integral in Riesz spaces and in metric semigroups are presented. We present also some other kinds of integrals, for instance strong Lusin, monotone integral, and some applications to the theory of observables and MV-algebras. Some Fubini-type theorems are illustrated. Some properties of weakly sigma-distributive Riesz spaces are presented
The Kurzweil construction of an integral in ordered spaces
Get PDFsummary:This paper generalizes the results of papers which deal with the Kurzweil-Henstock construction of an integral in ordered spaces. The definition is given and some limit theorems for the integral of ordered group valued functions defined on a Hausdorff compact topological space with respect to an ordered group valued measure are proved in this paper
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Dispelling the Myths Behind First-author Citation Counts
Get PDFWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
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